 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 6908 students have viewed full stepbystep solutions from this chapter. Applied Calculus was written by Patricia 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.

Arc length formula
The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

Bearing
Measure of the clockwise angle that the line of travel makes with due north

De Moivre’s theorem
(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

Definite integral
The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

Ellipse
The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant

Exponential function
A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1

Horizontal shrink or stretch
See Shrink, stretch.

Line graph
A graph of data in which consecutive data points are connected by line segments

Magnitude of an arrow
The magnitude of PQ is the distance between P and Q

Newton’s law of cooling
T1t2 = Tm + 1T0  Tm2ekt

Onetoone rule of exponents
x = y if and only if bx = by.

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

Probability of an event in a finite sample space of equally likely outcomes
The number of outcomes in the event divided by the number of outcomes in the sample space.

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

Second
Angle measure equal to 1/60 of a minute.

Standard form of a polynomial function
ƒ(x) = an x n + an1x n1 + Á + a1x + a0

Variable (in statistics)
A characteristic of individuals that is being identified or measured.

xaxis
Usually the horizontal coordinate line in a Cartesian coordinate system with positive direction to the right,.

zaxis
Usually the third dimension in Cartesian space.

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