 3.10.1: State the derivative formulas for sin1 x, tan1 x, and sec1 x.
 3.10.2: What is the slope of the line tangent to the graph of y = sin1 x a...
 3.10.3: What is the slope of the line tangent to the graph of y = tan1 x a...
 3.10.4: How are the derivatives of sin1 x and cos1 x related?
 3.10.5: Suppose f is a onetoone function with f 122 = 8 and f _122 = 4. W...
 3.10.6: Explain how to find 1 f 12_1y02, given that y0 = f 1x02.
 3.10.7: 712. Derivatives of inverse sine Evaluate the derivatives of the fo...
 3.10.8: 712. Derivatives of inverse sine Evaluate the derivatives of the fo...
 3.10.9: 712. Derivatives of inverse sine Evaluate the derivatives of the fo...
 3.10.10: 712. Derivatives of inverse sine Evaluate the derivatives of the fo...
 3.10.11: 712. Derivatives of inverse sine Evaluate the derivatives of the fo...
 3.10.12: 712. Derivatives of inverse sine Evaluate the derivatives of the fo...
 3.10.13: 1330. Derivatives Evaluate the derivatives of the following functio...
 3.10.14: 1330. Derivatives Evaluate the derivatives of the following functio...
 3.10.15: 1330. Derivatives Evaluate the derivatives of the following functio...
 3.10.16: 1330. Derivatives Evaluate the derivatives of the following functio...
 3.10.17: 1330. Derivatives Evaluate the derivatives of the following functio...
 3.10.18: 1330. Derivatives Evaluate the derivatives of the following functio...
 3.10.19: 1330. Derivatives Evaluate the derivatives of the following functio...
 3.10.20: 1330. Derivatives Evaluate the derivatives of the following functio...
 3.10.21: 1330. Derivatives Evaluate the derivatives of the following functio...
 3.10.22: 1330. Derivatives Evaluate the derivatives of the following functio...
 3.10.23: 1330. Derivatives Evaluate the derivatives of the following functio...
 3.10.24: 1330. Derivatives Evaluate the derivatives of the following functio...
 3.10.25: 1330. Derivatives Evaluate the derivatives of the following functio...
 3.10.26: 1330. Derivatives Evaluate the derivatives of the following functio...
 3.10.27: 1330. Derivatives Evaluate the derivatives of the following functio...
 3.10.28: 1330. Derivatives Evaluate the derivatives of the following functio...
 3.10.29: 1330. Derivatives Evaluate the derivatives of the following functio...
 3.10.30: 1330. Derivatives Evaluate the derivatives of the following functio...
 3.10.31: 3134. Tangent lines Find an equation of the line tangent to the gra...
 3.10.32: 3134. Tangent lines Find an equation of the line tangent to the gra...
 3.10.33: 3134. Tangent lines Find an equation of the line tangent to the gra...
 3.10.34: 3134. Tangent lines Find an equation of the line tangent to the gra...
 3.10.35: Angular size A boat sails directly toward a 150meter skyscraper th...
 3.10.36: Angle of elevation A small plane, moving at 70 m/s, flies horizonta...
 3.10.37: 3742. Derivatives of inverse functions at a point Find the derivati...
 3.10.38: 3742. Derivatives of inverse functions at a point Find the derivati...
 3.10.39: 3742. Derivatives of inverse functions at a point Find the derivati...
 3.10.40: 3742. Derivatives of inverse functions at a point Find the derivati...
 3.10.41: 3742. Derivatives of inverse functions at a point Find the derivati...
 3.10.42: 3742. Derivatives of inverse functions at a point Find the derivati...
 3.10.43: 4346. Slopes of tangent lines Given the function f, find the slope ...
 3.10.44: 4346. Slopes of tangent lines Given the function f, find the slope ...
 3.10.45: 4346. Slopes of tangent lines Given the function f, find the slope ...
 3.10.46: 4346. Slopes of tangent lines Given the function f, find the slope ...
 3.10.47: 4750. Derivatives and inverse functions Find 1 f 12_132 if f 1x2 =...
 3.10.48: 4750. Derivatives and inverse functions Find the slope of the curve...
 3.10.49: 4750. Derivatives and inverse functions Suppose the slope of the cu...
 3.10.50: 4750. Derivatives and inverse functions Suppose the slope of the cu...
 3.10.51: 5152. Derivatives of inverse functions from a table Use the followi...
 3.10.52: 5152. Derivatives of inverse functions from a table Use the followi...
 3.10.53: Explain why or why not Determine whether the following statements a...
 3.10.54: 5457. Graphing f and f a. Graph f with a graphing utility. b. Compu...
 3.10.55: 5457. Graphing f and f a. Graph f with a graphing utility. b. Compu...
 3.10.56: 5457. Graphing f and f a. Graph f with a graphing utility. b. Compu...
 3.10.57: 5457. Graphing f and f a. Graph f with a graphing utility. b. Compu...
 3.10.58: Graphing with inverse trigonometric functions a. Graph the function...
 3.10.59: 5966. Derivatives of inverse functions Consider the following funct...
 3.10.60: 5966. Derivatives of inverse functions Consider the following funct...
 3.10.61: 5966. Derivatives of inverse functions Consider the following funct...
 3.10.62: 5966. Derivatives of inverse functions Consider the following funct...
 3.10.63: 5966. Derivatives of inverse functions Consider the following funct...
 3.10.64: 5966. Derivatives of inverse functions Consider the following funct...
 3.10.65: 5966. Derivatives of inverse functions Consider the following funct...
 3.10.66: 5966. Derivatives of inverse functions Consider the following funct...
 3.10.67: Towing a boat A boat is towed toward a dock by a cable attached to ...
 3.10.68: Tracking a dive A biologist standing at the bottom of an 80foot ve...
 3.10.69: Angle to a particle, part I A particle travels clockwise on a circu...
 3.10.70: Angle to a particle, part II The figure in Exercise 69 shows the pa...
 3.10.71: Derivative of the inverse sine Find the derivative of the inverse s...
 3.10.72: Derivative of the inverse cosine Find the derivative of the inverse...
 3.10.73: Derivative of cot_1 x and csc_1 x Use a trigonometric identity to s...
 3.10.74: Tangents and inverses Suppose y = L1x2 = ax + b (with a _ 0) is the...
 3.10.75: 7578. Identity proofs Prove the following identities and give the v...
 3.10.76: 7578. Identity proofs Prove the following identities and give the v...
 3.10.77: 7578. Identity proofs Prove the following identities and give the v...
 3.10.78: 7578. Identity proofs Prove the following identities and give the v...
 3.10.79: An inverse tangent identity a. Use derivatives to show that tan1 2...
Solutions for Chapter 3.10: Calculus: Early Transcendentals 2nd Edition
Full solutions for Calculus: Early Transcendentals  2nd Edition
ISBN: 9780321947345
Solutions for Chapter 3.10
Get Full SolutionsCalculus: Early Transcendentals was written by and is associated to the ISBN: 9780321947345. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 2. Since 79 problems in chapter 3.10 have been answered, more than 57464 students have viewed full stepbystep solutions from this chapter. Chapter 3.10 includes 79 full stepbystep solutions.

Census
An observational study that gathers data from an entire population

Difference identity
An identity involving a trigonometric function of u  v

Direction angle of a vector
The angle that the vector makes with the positive xaxis

Factored form
The left side of u(v + w) = uv + uw.

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

General form (of a line)
Ax + By + C = 0, where A and B are not both zero.

Geometric sequence
A sequence {an}in which an = an1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

Inequality
A statement that compares two quantities using an inequality symbol

Inverse relation (of the relation R)
A relation that consists of all ordered pairs b, a for which a, b belongs to R.

Inverse variation
See Power function.

Logarithmic reexpression of data
Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

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.

Projectile motion
The movement of an object that is subject only to the force of gravity

Quadratic regression
A procedure for fitting a quadratic function to a set of data.

Radian measure
The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

Rational zeros
Zeros of a function that are rational numbers.

Real part of a complex number
See Complex number.

Repeated zeros
Zeros of multiplicity ? 2 (see Multiplicity).

Root of an equation
A solution.

Seconddegree equation in two variables
Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.