Chapter 5 Review JEOPARDY -AP Calculus-

100 200 300 400 500 Inverse Functions Review of Logarithms Exponential Functions Logarithmic Functions Inverse Trig Functions 100 200 300 400 500

Inverse Functions 100 Find the inverse of the function. Back

Inverse Functions 200 Find the inverse of the function. Back

Inverse Functions 300 Find the inverse of the function. Back

Inverse Functions 400 Suppose g is the inverse of f and f(2) = 7 and Back

Inverse Functions 500 If f(x) = 2x + cos(x), find Back

Review of Logarithms 100 Simplify the expressions. (a) (b) (c) log1025 + log104 (d) log6360 – log610 Back

Review of Logarithms 200 Evaluate the following using a calculator and the change of base formula. 1. log46 2. log917 Back

Review of Logarithms 300 A log table says that log 2 = 0.3010300 and log 9 = 0.9542425. Describe how to find log 18 and log29 and compute both. Back

Review of Logarithms 400 Solve the exponential equations. Round to three decimal places, if necessary. (a) (b) (c) (d) Back

Review of Logarithms 500 Solve the following logarithmic equations. Round to three decimal places, if necessary. (a) log5125 – log55 = x (c) (d) ln(2x – 6) = 3 Back

Exponential Functions 100 Compute the derivatives. (a) (b) Back

Exponential Functions 200 Find dy/dx if cos(x – y) = xex. Find the 1000th derivative of f(x) = xe-x. Back

Exponential Functions 300 Find the equation of the tangent line to the curve at the point (0,2). Back

Exponential Functions 400 Find the integrals. (a) (b) (c) Back

Exponential Functions 500 Find the equation of the tangent line to the graph of the function y = 3x-4 at (4,1). Back

Logarithmic Functions 100 Find the derivative of each function. (a) (b) Back

Logarithmic Functions 200 Find the equation of the tangent line to the function y = log3x at the point (27,3). Back

Logarithmic Functions 300 Integrate. (a) (b) (c) Back

Logarithmic Functions 400 Use logarithmic differentiation to find dy/dx. Back

Logarithmic Functions 500 Use logarithmic differentiation to find the equation of the tangent line to the function at the point (e,1). Back

Inverse Trig Functions 100 Evaluate the expressions without using a calculator. (a) (b) (c) (d) Back

Inverse Trig Functions 200 Find the derivative of each function. (a) (b) Back

Inverse Trig Functions 300 If , find Back

Inverse Trig Functions 400 Integrate. (a) (b) Back

Inverse Trig Functions 500 Integrate. (a) (b) Back