 3.3.1: Find the derivative of the functions in 127. f(x) = (x+ 1)99
 3.3.2: Find the derivative of the functions in 127. g(x) = (4x2 + 1)7
 3.3.3: Find the derivative of the functions in 127. w = (t2 + 1)100
 3.3.4: Find the derivative of the functions in 127. R = (q2 + 1)4
 3.3.5: Find the derivative of the functions in 127. w = (5r 6)3
 3.3.6: Find the derivative of the functions in 127. f(x) = (x3 + x2)90
 3.3.7: Find the derivative of the functions in 127. y = 123x2 +2e3x
 3.3.8: Find the derivative of the functions in 127. y = s3 +1
 3.3.9: Find the derivative of the functions in 127. f(x) = 6e5x + ex2
 3.3.10: Find the derivative of the functions in 127. C = 12(3q2 5)3
 3.3.11: Find the derivative of the functions in 127. w = e3t2
 3.3.12: Find the derivative of the functions in 127. y = 5e5t+1
 3.3.13: Find the derivative of the functions in 127. y = ln(5t +1)
 3.3.14: Find the derivative of the functions in 127. w = e s
 3.3.15: Find the derivative of the functions in 127. f(t) = ln(t2 + 1)
 3.3.16: Find the derivative of the functions in 127. f(x) = ln(1 x)
 3.3.17: Find the derivative of the functions in 127. f(x) = ln(ex + 1)
 3.3.18: Find the derivative of the functions in 127. f(x) = ln(1 ex)
 3.3.19: Find the derivative of the functions in 127. f(x) = ln(lnx)
 3.3.20: Find the derivative of the functions in 127. f(x) = (lnx)3
 3.3.21: Find the derivative of the functions in 127. y = 5+ln(3t + 2)
 3.3.22: Find the derivative of the functions in 127. y = (5+ex)2
 3.3.23: Find the derivative of the functions in 127. y = 5x + ln(x +2)
 3.3.24: Find the derivative of the functions in 127. y = ex + 1
 3.3.25: Find the derivative of the functions in 127. P = (1+lnx)0.5
 3.3.26: Find the derivative of the functions in 127. f() = (e + e)1
 3.3.27: Find the derivative of the functions in 127. f(x) = 42 + x .
 3.3.28: In 2829, find the relative rate of change f(t)/f(t) at the given va...
 3.3.29: In 2829, find the relative rate of change f(t)/f(t) at the given va...
 3.3.30: In 3033, find the relative rate of change of f(t) using the formula...
 3.3.31: In 3033, find the relative rate of change of f(t) using the formula...
 3.3.32: In 3033, find the relative rate of change of f(t) using the formula...
 3.3.33: In 3033, find the relative rate of change of f(t) using the formula...
 3.3.34: Find the equation of the tangent line to f(x) = (x 1)3 at the point...
 3.3.35: If you invest P dollars in a bank account at an annual interest rat...
 3.3.36: A firmestimates that the total revenue, R, received from the sale o...
 3.3.37: The distance, s, of a moving body from a fixed point is given as a ...
 3.3.38: The distance traveled, D in feet, is a function of time, t, in seco...
 3.3.39: For 3942, let h(x) = f(g(x)) and k(x) = g(f(x)). Use Figure 3.18 to...
 3.3.40: For 3942, let h(x) = f(g(x)) and k(x) = g(f(x)). Use Figure 3.18 to...
 3.3.41: For 3942, let h(x) = f(g(x)) and k(x) = g(f(x)). Use Figure 3.18 to...
 3.3.42: For 3942, let h(x) = f(g(x)) and k(x) = g(f(x)). Use Figure 3.18 to...
 3.3.43: In 4348, use Figure 3.19 to evaluate the derivative. d dx f(g(x))x=30
 3.3.44: In 4348, use Figure 3.19 to evaluate the derivative. d dx f(g(x))x=70
 3.3.45: In 4348, use Figure 3.19 to evaluate the derivative. d dx g(f(x))x=30
 3.3.46: In 4348, use Figure 3.19 to evaluate the derivative. d dx g(f(x))x=70
 3.3.47: In 4348, use Figure 3.19 to evaluate the derivative. d dx f(g(x))x=20
 3.3.48: In 4348, use Figure 3.19 to evaluate the derivative. d dx g(f(x))x=60
 3.3.49: Given y = f(x) with f(1) = 4 and f(1) = 3, find (a) g(1) if g(x) = ...
 3.3.50: Some economists suggest that an extra year of education increases a...
 3.3.51: Show that if the graphs of f(t) and h(t) = Aekt are tangent at t = ...
Solutions for Chapter 3.3: THE CHAIN RULE
Full solutions for Applied Calculus  5th Edition
ISBN: 9781118174920
Solutions for Chapter 3.3: THE CHAIN RULE
Get Full SolutionsChapter 3.3: THE CHAIN RULE includes 51 full stepbystep solutions. Applied Calculus was written by and is associated to the ISBN: 9781118174920. Since 51 problems in chapter 3.3: THE CHAIN RULE have been answered, more than 21244 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. This expansive textbook survival guide covers the following chapters and their solutions.

Acute triangle
A triangle in which all angles measure less than 90°

Anchor
See Mathematical induction.

Axis of symmetry
See Line of symmetry.

Coefficient matrix
A matrix whose elements are the coefficients in a system of linear equations

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

Intermediate Value Theorem
If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).

Lower bound of f
Any number b for which b < ƒ(x) for all x in the domain of ƒ

Magnitude of a real number
See Absolute value of a real number

Monomial function
A polynomial with exactly one term.

Negative association
A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

Reciprocal identity
An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

Recursively defined sequence
A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

Remainder theorem
If a polynomial f(x) is divided by x  c , the remainder is ƒ(c)

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

Shrink of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal shrink) by the constant 1/c or all of the ycoordinates (vertical shrink) by the constant c, 0 < c < 1.

Solution of an equation or inequality
A value of the variable (or values of the variables) for which the equation or inequality is true

Standard form: equation of a circle
(x  h)2 + (y  k2) = r 2

Transformation
A function that maps real numbers to real numbers.

Variance
The square of the standard deviation.

Window dimensions
The restrictions on x and y that specify a viewing window. See Viewing window.