 3.6.1: In Exercises 16, find for the function and real number a fx x a 2 3
 3.6.2: In Exercises 16, find for the function and real number a fx a 11 1
 3.6.3: In Exercises 16, find for the function and real number a 2 2 x 2 fx
 3.6.4: In Exercises 16, find for the function and real number a 1 2 fx
 3.6.5: In Exercises 16, find for the function and real number a fx x a 6 3
 3.6.6: In Exercises 16, find for the function and real number a fx x 4 a 2f
 3.6.7: In Exercises 710, show that the slopes of the graphs of and are rec...
 3.6.8: In Exercises 710, show that the slopes of the graphs of and are rec...
 3.6.9: In Exercises 710, show that the slopes of the graphs of and are rec...
 3.6.10: In Exercises 710, show that the slopes of the graphs of and are rec...
 3.6.11: In Exercises 1114, (a) find an equation of the tangent line to the ...
 3.6.12: In Exercises 1114, (a) find an equation of the tangent line to the ...
 3.6.13: In Exercises 1114, (a) find an equation of the tangent line to the ...
 3.6.14: In Exercises 1114, (a) find an equation of the tangent line to the ...
 3.6.15: In Exercises 1518, find at the indicated point for the equation x y...
 3.6.16: In Exercises 1518, find at the indicated point for the equation 2 l...
 3.6.17: In Exercises 1518, find at the indicated point for the equation x a...
 3.6.18: In Exercises 1518, find at the indicated point for the equation arc...
 3.6.19: In Exercises 1944, find the derivative of the function fx 2 arcsinx...
 3.6.20: In Exercises 1944, find the derivative of the function ft arcsin t2 f
 3.6.21: In Exercises 1944, find the derivative of the functiongx 3 arccos x2 f
 3.6.22: In Exercises 1944, find the derivative of the function
 3.6.23: In Exercises 1944, find the derivative of the function
 3.6.24: In Exercises 1944, find the derivative of the function
 3.6.25: In Exercises 1944, find the derivative of the function
 3.6.26: In Exercises 1944, find the derivative of the function hx x2 gx arc...
 3.6.27: In Exercises 1944, find the derivative of the function gx arcsin x ...
 3.6.28: In Exercises 1944, find the derivative of the function x ex gx arcs...
 3.6.29: In Exercises 1944, find the derivative of the function
 3.6.30: In Exercises 1944, find the derivative of the function
 3.6.31: In Exercises 1944, find the derivative of the function ht sinarccos...
 3.6.32: In Exercises 1944, find the derivative of the function fx arcsin x ...
 3.6.33: In Exercises 1944, find the derivative of the function
 3.6.34: In Exercises 1944, find the derivative of the function
 3.6.35: In Exercises 1944, find the derivative of the function y 12 12 ln x...
 3.6.36: In Exercises 1944, find the derivative of the function y 12 x4 x2 4...
 3.6.37: In Exercises 1944, find the derivative of the function gt tanarcsin...
 3.6.38: In Exercises 1944, find the derivative of the function fx arcsec x ...
 3.6.39: In Exercises 1944, find the derivative of the function y x arcsin x...
 3.6.40: In Exercises 1944, find the derivative of the function y x arctan 2...
 3.6.41: In Exercises 1944, find the derivative of the function y 8 arcsin x...
 3.6.42: In Exercises 1944, find the derivative of the function y 25 arcsin ...
 3.6.43: In Exercises 1944, find the derivative of the function y arctan x x...
 3.6.44: In Exercises 1944, find the derivative of the function y arctan x2 ...
 3.6.45: In Exercises 4550, find an equation of the tangent line to the grap...
 3.6.46: In Exercises 4550, find an equation of the tangent line to the grap...
 3.6.47: In Exercises 4550, find an equation of the tangent line to the grap...
 3.6.48: In Exercises 4550, find an equation of the tangent line to the grap...
 3.6.49: In Exercises 4550, find an equation of the tangent line to the grap...
 3.6.50: In Exercises 4550, find an equation of the tangent line to the grap...
 3.6.51: Find equations of all tangent lines to the graph of that have slope 2.
 3.6.52: Find an equation of the tangent line to the graph of when x 1.
 3.6.53: Linear and Quadratic Approximations In Exercises 5356, use a comput...
 3.6.54: Linear and Quadratic Approximations In Exercises 5356, use a comput...
 3.6.55: Linear and Quadratic Approximations In Exercises 5356, use a comput...
 3.6.56: Linear and Quadratic Approximations In Exercises 5356, use a comput...
 3.6.57: Implicit Differentiation In Exercises 5760, find an equation of the...
 3.6.58: Implicit Differentiation In Exercises 5760, find an equation of the...
 3.6.59: Implicit Differentiation In Exercises 5760, find an equation of the...
 3.6.60: Implicit Differentiation In Exercises 5760, find an equation of the...
 3.6.61: In Exercises 61 and 62, the derivative of the function has the same...
 3.6.62: In Exercises 61 and 62, the derivative of the function has the same...
 3.6.63: State the theorem that gives the method for finding the derivative ...
 3.6.64: State the theorem that gives the method for finding the derivative ...
 3.6.65: Angular Rate of Change An airplane flies at an altitude of 5 miles ...
 3.6.66: Writing Repeat Exercise 65 if the altitude of the plane is 3 miles ...
 3.6.67: Angular Rate of Change In a freefall experiment, an object is drop...
 3.6.68: Angular Rate of Change A television camera at ground level is filmi...
 3.6.69: Angular Rate of Change An observer is standing 300 feet from the po...
 3.6.70: Farm Workers The table gives the number of farm workers (in million...
 3.6.71: Verify each differentiation formula.
 3.6.72: Existence of an Inverse Determine the values of such that the funct...
 3.6.73: True or False? In Exercises 73 and 74, determine whether the statem...
 3.6.74: True or False? In Exercises 73 and 74, determine whether the statem...
 3.6.75: Prove that arcsin x arctan < 1.
 3.6.76: Prove that arccos x < 1. 2
 3.6.77: Some calculus textbooks define the inverse secant function using th...
 3.6.78: Compare the graphs of andWhat are the domains and ranges of and y2 y ?
 3.6.79: Show that the function is constant for 0 x 4
 3.6.80: Use a graphing utility to graph the functions and Compare the funct...
Solutions for Chapter 3.6: Derivatives of Inverse Functions
Full solutions for Calculus: Early Transcendental Functions  4th Edition
ISBN: 9780618606245
Solutions for Chapter 3.6: Derivatives of Inverse Functions
Get Full SolutionsSince 80 problems in chapter 3.6: Derivatives of Inverse Functions have been answered, more than 45247 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245. Chapter 3.6: Derivatives of Inverse Functions includes 80 full stepbystep solutions.

Additive inverse of a real number
The opposite of b , or b

Aphelion
The farthest point from the Sun in a planet’s orbit

Complex conjugates
Complex numbers a + bi and a  bi

Difference identity
An identity involving a trigonometric function of u  v

Fibonacci sequence
The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

Graph of parametric equations
The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.

Initial side of an angle
See Angle.

Line of travel
The path along which an object travels

Linear factorization theorem
A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1  z1) 1x  i z 22 Á 1x  z n where the z1 are the zeros of ƒ

Mean (of a set of data)
The sum of all the data divided by the total number of items

Multiplication property of equality
If u = v and w = z, then uw = vz

Probability simulation
A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

Quotient rule of logarithms
logb a R S b = logb R  logb S, R > 0, S > 0

Rectangular coordinate system
See Cartesian coordinate system.

Relevant domain
The portion of the domain applicable to the situation being modeled.

Resistant measure
A statistical measure that does not change much in response to outliers.

Terms of a sequence
The range elements of a sequence.

Tree diagram
A visualization of the Multiplication Principle of Probability.

Vector
An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

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