 3.1.1: For 138, find the derivative. Assume a, b, c, k are constants. y = 3x
 3.1.2: For 138, find the derivative. Assume a, b, c, k are constants. y = 5
 3.1.3: For 138, find the derivative. Assume a, b, c, k are constants. y = x12
 3.1.4: For 138, find the derivative. Assume a, b, c, k are constants. y = x12
 3.1.5: For 138, find the derivative. Assume a, b, c, k are constants. y = 8t3
 3.1.6: For 138, find the derivative. Assume a, b, c, k are constants. y = ...
 3.1.7: For 138, find the derivative. Assume a, b, c, k are constants. y = ...
 3.1.8: For 138, find the derivative. Assume a, b, c, k are constants. y = ...
 3.1.9: For 138, find the derivative. Assume a, b, c, k are constants. f(q)...
 3.1.10: For 138, find the derivative. Assume a, b, c, k are constants. f(x)...
 3.1.11: For 138, find the derivative. Assume a, b, c, k are constants. y = ...
 3.1.12: For 138, find the derivative. Assume a, b, c, k are constants. y = ...
 3.1.13: For 138, find the derivative. Assume a, b, c, k are constants. y = ...
 3.1.14: For 138, find the derivative. Assume a, b, c, k are constants. y = ...
 3.1.15: For 138, find the derivative. Assume a, b, c, k are constants. y = ...
 3.1.16: For 138, find the derivative. Assume a, b, c, k are constants. y = ...
 3.1.17: For 138, find the derivative. Assume a, b, c, k are constants. f(z)...
 3.1.18: For 138, find the derivative. Assume a, b, c, k are constants. g(t)...
 3.1.19: For 138, find the derivative. Assume a, b, c, k are constants. y = x
 3.1.20: For 138, find the derivative. Assume a, b, c, k are constants. y = ...
 3.1.21: For 138, find the derivative. Assume a, b, c, k are constants. f(x)...
 3.1.22: For 138, find the derivative. Assume a, b, c, k are constants. h() ...
 3.1.23: For 138, find the derivative. Assume a, b, c, k are constants. z = ...
 3.1.24: For 138, find the derivative. Assume a, b, c, k are constants. R = ...
 3.1.25: For 138, find the derivative. Assume a, b, c, k are constants. y = ...
 3.1.26: For 138, find the derivative. Assume a, b, c, k are constants. y = ...
 3.1.27: For 138, find the derivative. Assume a, b, c, k are constants. h(t)...
 3.1.28: For 138, find the derivative. Assume a, b, c, k are constants. y = ...
 3.1.29: For 138, find the derivative. Assume a, b, c, k are constants. h() ...
 3.1.30: For 138, find the derivative. Assume a, b, c, k are constants. y = ...
 3.1.31: For 138, find the derivative. Assume a, b, c, k are constants. y = ...
 3.1.32: For 138, find the derivative. Assume a, b, c, k are constants. f(x)...
 3.1.33: For 138, find the derivative. Assume a, b, c, k are constants. v = ...
 3.1.34: For 138, find the derivative. Assume a, b, c, k are constants. Q = ...
 3.1.35: For 138, find the derivative. Assume a, b, c, k are constants. V = ...
 3.1.36: For 138, find the derivative. Assume a, b, c, k are constants. P = ...
 3.1.37: For 138, find the derivative. Assume a, b, c, k are constants. h(x)...
 3.1.38: For 138, find the derivative. Assume a, b, c, k are constants. w = ...
 3.1.39: (a) Use a graph of P(q) = 6qq2 to determine whether each of the fol...
 3.1.40: Let f(x) = x3 4x2 + 7x 11. Find f(0), f(2), f(1).
 3.1.41: Let f(t) = t2 4t + 5. (a) Find f(t). (b) Find f(1) and f(2). (c) Us...
 3.1.42: Find the rate of change of a population of size P(t) = t3 +4t +1 at...
 3.1.43: The height of a sand dune (in centimeters) is represented by f(t) =...
 3.1.44: In 4445, find the relative rate of change f(t)/f(t) at the given va...
 3.1.45: In 4445, find the relative rate of change f(t)/f(t) at the given va...
 3.1.46: The number, N, of acres of harvested land in a region is given by N...
 3.1.47: Zebra mussels are freshwater shellfish that first appeared in the S...
 3.1.48: The quantity, Q, in tons, ofmaterial at amunicipal waste site is a ...
 3.1.49: If f(t) = 2t3 4t2 + 3t 1, find f(t) and f(t).
 3.1.50: If f(t) = t4 3t2 + 5t, find f(t) and f(t).
 3.1.51: Find the equation of the line tangent to the graph of f(x) = 2x3 5x...
 3.1.52: (a) Find the equation of the tangent line to f(x) = x3 at the point...
 3.1.53: Find the equation of the line tangent to the graph of f(t) = 6t t2 ...
 3.1.54: The time, T , in seconds for one complete oscillation of a pendulum...
 3.1.55: Kleibers Law states that the daily calorie requirement, C(w), of a ...
 3.1.56: If you are outdoors, the wind may make it feel a lot colder than th...
 3.1.57: (a) Use the formula for the area of a circle of radius r, A = r2, t...
 3.1.58: Suppose W is proportional to r3. The derivative dW/dr is proportion...
 3.1.59: Show that for any power function f(x) = xn, we have f(1) = n.
 3.1.60: The cost to produce q items is C(q) = 1000+2q2 dollars. Find the ma...
 3.1.61: The demand curve for a product is given by q = 3003p, where p is th...
 3.1.62: A ball is dropped fromthe top of the Empire State Building. The hei...
 3.1.63: The yield, Y , of an apple orchard (measured in bushels of apples p...
 3.1.64: The demand for a product is given, for p, q 0, by p = f(q) = 50 0.0...
 3.1.65: The cost (in dollars) of producing q items is given by C(q) = 0.08q...
 3.1.66: Let f(x) = x36x215x+20. Find f(x) and all values of x for which f(x...
 3.1.67: If the demand curve is a line, we can write p = b + mq, where p is ...
Solutions for Chapter 3.1: DERIVATIVE FORMULAS FOR POWERS AND POLYNOMIALS
Full solutions for Applied Calculus  5th Edition
ISBN: 9781118174920
Solutions for Chapter 3.1: DERIVATIVE FORMULAS FOR POWERS AND POLYNOMIALS
Get Full SolutionsSince 67 problems in chapter 3.1: DERIVATIVE FORMULAS FOR POWERS AND POLYNOMIALS have been answered, more than 15629 students have viewed full stepbystep solutions from this chapter. Applied Calculus was written by and is associated to the ISBN: 9781118174920. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 3.1: DERIVATIVE FORMULAS FOR POWERS AND POLYNOMIALS includes 67 full stepbystep solutions. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5.

Additive identity for the complex numbers
0 + 0i is the complex number zero

Angular speed
Speed of rotation, typically measured in radians or revolutions per unit time

Binomial probability
In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n  k2!pk11  p) nk where p is the probability of the outcome occurring once

Component form of a vector
If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x, y, and zcomponents of the vector, respectively)

Deductive reasoning
The process of utilizing general information to prove a specific hypothesis

Distance (in a coordinate plane)
The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1  x 2)2 + (y1  y2)2

Eccentricity
A nonnegative number that specifies how offcenter the focus of a conic is

Ellipsoid of revolution
A surface generated by rotating an ellipse about its major axis

Equivalent systems of equations
Systems of equations that have the same solution.

Focal width of a parabola
The length of the chord through the focus and perpendicular to the axis.

Number line graph of a linear inequality
The graph of the solutions of a linear inequality (in x) on a number line

Polar coordinates
The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

Positive angle
Angle generated by a counterclockwise rotation.

Positive numbers
Real numbers shown to the right of the origin on a number line.

Real number
Any number that can be written as a decimal.

Sequence of partial sums
The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

Viewing window
The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].

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

yintercept
A point that lies on both the graph and the yaxis.

Zero of a function
A value in the domain of a function that makes the function value zero.