 4.2.1: Differentiate the functions given in 122 with respect to the indepe...
 4.2.2: Differentiate the functions given in 122 with respect to the indepe...
 4.2.3: Differentiate the functions given in 122 with respect to the indepe...
 4.2.4: Differentiate the functions given in 122 with respect to the indepe...
 4.2.5: Differentiate the functions given in 122 with respect to the indepe...
 4.2.6: Differentiate the functions given in 122 with respect to the indepe...
 4.2.7: Differentiate the functions given in 122 with respect to the indepe...
 4.2.8: Differentiate the functions given in 122 with respect to the indepe...
 4.2.9: Differentiate the functions given in 122 with respect to the indepe...
 4.2.10: Differentiate the functions given in 122 with respect to the indepe...
 4.2.11: Differentiate the functions given in 122 with respect to the indepe...
 4.2.12: Differentiate the functions given in 122 with respect to the indepe...
 4.2.13: Differentiate the functions given in 122 with respect to the indepe...
 4.2.14: Differentiate the functions given in 122 with respect to the indepe...
 4.2.15: Differentiate the functions given in 122 with respect to the indepe...
 4.2.16: Differentiate the functions given in 122 with respect to the indepe...
 4.2.17: Differentiate the functions given in 122 with respect to the indepe...
 4.2.18: Differentiate the functions given in 122 with respect to the indepe...
 4.2.19: Differentiate the functions given in 122 with respect to the indepe...
 4.2.20: Differentiate the functions given in 122 with respect to the indepe...
 4.2.21: Differentiate the functions given in 122 with respect to the indepe...
 4.2.22: Differentiate the functions given in 122 with respect to the indepe...
 4.2.23: Differentiate f (x) = ax3 with respect to x. Assume that a is a con...
 4.2.24: Differentiate f (x) = x3 + a with respect to x. Assume that a is a ...
 4.2.25: Differentiate f (x) = ax2 2a with respect to x. Assume that a is a ...
 4.2.26: Differentiate f (x) = a2x4 2ax2 with respect to x. Assume that a is...
 4.2.27: Differentiate h(s) = rs2 r with respect to s. Assume that r is a co...
 4.2.28: Differentiate f (r ) = rs2 r with respect to r . Assume that s is a...
 4.2.29: Differentiate f (x) = rs2x3 rx + s with respect to x. Assume that r...
 4.2.30: Differentiate f (x) = r + x rs2 rsx + (r + s)x rs with respect to x...
 4.2.31: Differentiate f (N) = (b 1)N4 N2 b with respect to N. Assume that b...
 4.2.32: Differentiate f (N) = bN2 + N K + b with respect to N. Assume that ...
 4.2.33: Differentiate g(t) = a3t at3 with respect to t. Assume that a is a ...
 4.2.34: Differentiate h(s) = a4s2 as4 + s2 a4 with respect to s. Assume tha...
 4.2.35: Differentiate V(t) = V0(1 + t) with respect to t. Assume that V0 an...
 4.2.36: Differentiate p(T ) = NkT V with respect to T . Assume that N, k, a...
 4.2.37: Differentiate g(N) = N _ 1 N K _ with respect to N. Assume that K i...
 4.2.38: Differentiate g(N) = rN _ 1 N K _ with respect to N. Assume that K ...
 4.2.39: Differentiate g(N) = rN2 _ 1 N K _ with respect to N. Assume that K...
 4.2.40: Differentiate g(N) = rN (a N) _ 1 N K _ with respect to N. Assume t...
 4.2.41: Differentiate R(T ) = 25 15 k4 c2h3 T 4 with respect to T . Assume ...
 4.2.42: In 4248, find the tangent line, in standard form, to y = f (x) at t...
 4.2.43: In 4248, find the tangent line, in standard form, to y = f (x) at t...
 4.2.44: In 4248, find the tangent line, in standard form, to y = f (x) at t...
 4.2.45: In 4248, find the tangent line, in standard form, to y = f (x) at t...
 4.2.46: In 4248, find the tangent line, in standard form, to y = f (x) at t...
 4.2.47: In 4248, find the tangent line, in standard form, to y = f (x) at t...
 4.2.48: In 4248, find the tangent line, in standard form, to y = f (x) at t...
 4.2.49: In 4954, find the normal line, in standard form, to y = f (x) at th...
 4.2.50: In 4954, find the normal line, in standard form, to y = f (x) at th...
 4.2.51: In 4954, find the normal line, in standard form, to y = f (x) at th...
 4.2.52: In 4954, find the normal line, in standard form, to y = f (x) at th...
 4.2.53: In 4954, find the normal line, in standard form, to y = f (x) at th...
 4.2.54: In 4954, find the normal line, in standard form, to y = f (x) at th...
 4.2.55: Find the tangent line to f (x) = ax2 at x = 1. Assume that a is a p...
 4.2.56: Find the tangent line to f (x) = ax3 2ax at x = 1. Assume that a is...
 4.2.57: Find the tangent line to f (x) = ax2 a2 + 2 at x = 2. Assume that a...
 4.2.58: Find the tangent line to f (x) = x2 a + 1 at x = a. Assume that a i...
 4.2.59: Find the normal line to f (x) = ax3 at x = 1. Assume that a is a po...
 4.2.60: Find the normal line to f (x) = ax2 3ax at x = 2. Assume that a is ...
 4.2.61: Find the normal line to f (x) = ax2 a + 1 at x = 2. Assume that a i...
 4.2.62: Find the normal line to f (x) = x3 a + 1 at x = 2a. Assume that a i...
 4.2.63: In 6370, find the coordinates of all of the points of the graph of ...
 4.2.64: In 6370, find the coordinates of all of the points of the graph of ...
 4.2.65: In 6370, find the coordinates of all of the points of the graph of ...
 4.2.66: In 6370, find the coordinates of all of the points of the graph of ...
 4.2.67: In 6370, find the coordinates of all of the points of the graph of ...
 4.2.68: In 6370, find the coordinates of all of the points of the graph of ...
 4.2.69: In 6370, find the coordinates of all of the points of the graph of ...
 4.2.70: In 6370, find the coordinates of all of the points of the graph of ...
 4.2.71: Find a point on the curve y = 4 x2 whose tangent line is parallel t...
 4.2.72: Find a point on the curve y = (4 x)2 whose tangent line is parallel...
 4.2.73: Find a point on the curve y = 2x2 1 2 whose tangent line is paralle...
 4.2.74: Find a point on the curve y = 1 3x3 whose tangent line is parallel ...
 4.2.75: Find a point on the curve y = x3 + 2x + 2 whose tangent line is par...
 4.2.76: Find a point on the curve y = 2x3 4x + 1 whose tangent line is para...
 4.2.77: Show that the tangent line to the curve y = x2 at the point (1, 1) ...
 4.2.78: Find all tangent lines to the curve y = x2 that pass through the po...
 4.2.79: Find all tangent lines to the curve y = x2 that pass through the po...
 4.2.80: How many tangent lines to the curve y = x2 + 2x pass through the po...
 4.2.81: Suppose that P(x) is a polynomial of degree 4. Is P_ (x) a polynomi...
 4.2.82: Suppose that P(x) is a polynomial of degree k. Is P_ (x) a polynomi...
Solutions for Chapter 4.2: The Power Rule, the Basic Rules of Differentiation, and the Derivatives of Polynomials
Full solutions for Calculus For Biology and Medicine (Calculus for Life Sciences Series)  3rd Edition
ISBN: 9780321644688
Solutions for Chapter 4.2: The Power Rule, the Basic Rules of Differentiation, and the Derivatives of Polynomials
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Calculus For Biology and Medicine (Calculus for Life Sciences Series) was written by and is associated to the ISBN: 9780321644688. Since 82 problems in chapter 4.2: The Power Rule, the Basic Rules of Differentiation, and the Derivatives of Polynomials have been answered, more than 11217 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus For Biology and Medicine (Calculus for Life Sciences Series), edition: 3. Chapter 4.2: The Power Rule, the Basic Rules of Differentiation, and the Derivatives of Polynomials includes 82 full stepbystep solutions.

Addition property of inequality
If u < v , then u + w < v + w

Algebraic expression
A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots

Annual percentage yield (APY)
The rate that would give the same return if interest were computed just once a year

Division
a b = aa 1 b b, b Z 0

Explicitly defined sequence
A sequence in which the kth term is given as a function of k.

Graph of an inequality in x and y
The set of all points in the coordinate plane corresponding to the solutions x, y of the inequality.

Integers
The numbers . . ., 3, 2, 1, 0,1,2,...2

Inverse variation
See Power function.

Multiplication principle of counting
A principle used to find the number of ways an event can occur.

Natural logarithmic function
The inverse of the exponential function y = ex, denoted by y = ln x.

NDER ƒ(a)
See Numerical derivative of ƒ at x = a.

Power rule of logarithms
logb Rc = c logb R, R 7 0.

Random variable
A function that assigns realnumber values to the outcomes in a sample space.

Rational numbers
Numbers that can be written as a/b, where a and b are integers, and b ? 0.

Regression model
An equation found by regression and which can be used to predict unknown values.

Solve a system
To find all solutions of a system.

Standard deviation
A measure of how a data set is spread

Vertex of an angle
See Angle.

Xscl
The scale of the tick marks on the xaxis in a viewing window.

Zero vector
The vector <0,0> or <0,0,0>.