90 Chapter 5 Logarithmic, Exponential, and Other Transcendental Functions. Name Class. (a) (b) ln x (c) (a) (b) (c) 1 x. y e (a) 0 (b) y.
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1 90 Chapter 5 Logarithmic, Eponential, and Other Transcendental Functions Test Form A Chapter 5 Name Class Date Section. Find the derivative: f ln. 6. Differentiate: y. ln y y y y. Find dy d if ey y. y e 0 y e y y e y e y e y. Find y if y. ln 5. Find f for f cosh. cosh sinh cosh sinh sinh cosh sinh 6. Find ln dy d for y arctan. sec (e) 9
2 Chapter 5 Test Bank 9 7. Evaluate 5e d. 5e 0 ln 5 8. Evaluate d. C C ln C C 9. Evaluate tan d. ln sec C sec C ln cos C sec 0. Evaluate e d. e () e () C C e () C e (). Evaluate 9 d. ln C arctan C ln 9 arctan C sin. Evaluate cos d. sin ln sec C cos ln csc cot C ln 9 arctan C csc cot C cos ln csc cot C
3 9 Chapter 5 Logarithmic, Eponential, and Other Transcendental Functions d. Evaluate 8. ln8 arcsin C 8 C arcsec C. Determine whether f b is one-to-one; if it is, find a f. f is not one-to-one. f a b f a b f a b 5. Find an equation for the tangent line at the point where on the graph of the function f 5. y 5 y 5 ln 5 ln 5 y 5 5 y 5 ln 5 ln 5
4 Chapter 5 Test Bank 9 Test Form B Chapter 5 Name Class Date Section. Find the derivative: f ln Differentiate: y e. y e e y e e y e y e e ln e. Find dy if ln y y. d y e y y y y y y. Find ln 9 5. Find f for f ln sech. sech tanh tanh sech tanh 6. Find 9 9 y if y. dy d for y arcsin. 9 (e) 9 9 tanh 9
5 9 Chapter 5 Logarithmic, Eponential, and Other Transcendental Functions 7. Evaluate e e d. ln e ln 5 6e 8. Evaluate d. C ln C e ln C C 9. Evaluate cot d. ln sin sec C C ln sin C cot csc C 0. Evaluate e d. e C e C e C e C. Evaluate d.. Evaluate cos tan C sin sec C sin tan C arcsin C ln C cos sin d. cos sin tan C arcsin C arcsin C
6 Chapter 5 Test Bank Evaluate 6 d. 5 5 ln 6 C C 5 arctan C ln 5 C. If the slope of a strictly monotonic function f is 9 at a particular point a, b, what is the slope of at the point b, a? f 5. Find f if f ln and f 0 5. f f f 9 f ln 5
7 96 Chapter 5 Logarithmic, Eponential, and Other Transcendental Functions Test Form C Chapter 5 Name Class Date Section A graphing calculator is needed for some problems.. Find the limit: lim sech Use logarithmic differentiation to find dy : y. d. Differentiate: f. lne e e e. Find y: y arctan t. sec t t t t 5. Find f for f e. 0 e t e e 6. Find an equation of the tangent line at the point where for the function y ln. y y y ln y ln t t e e
8 Chapter 5 Test Bank Differentiate: f cosh 5. 5 cosh sinh 5 cosh 5 cosh sinh 5 cosh sinh 8. Evaluate the integral: t dt. t t t t t lnt C C t t C t t lnt C 9. Evaluate the integral: eab d. ae ab C a eab C e a bc e ab C 0. Evaluate the integral: d. ln C C ln C C. Evaluate the definite integral: 0 d Use a graphing calculator as an aid to sketch the region bounded by the function f the -ais, and the lines and. Then calculate the area of the region. arcsin arcsin 5 8 9, arcsin arcsin
9 98 Chapter 5 Logarithmic, Eponential, and Other Transcendental Functions. Evaluate the integral: cot d. ln sin sec C C ln sin C. Evaluate the integral: e e 0 5. Evaluate the integral: d. e cos sin d. cot csc C e ln arctan C 9 C ln C ln arctan C
10 Chapter 5 Test Bank 99 Test Form D Chapter 5 Name Class Date Section dy. Find y ln d : 5.. Differentiate: y.. Find y: y e.. Find dy d : ye y. 5. Find y: y e e. 6. Find f: f lncosh. 7. Evaluate e d. 8. Evaluate sec d. 9. Evaluate 9e t5 dt. 0. Evaluate. Evaluate. Evaluate. Find an equation of the tangent line at the point where for the function y arctan.. Find the limit: e e d d. d. lim csch. 5. Evaluate the integral: d.
11 00 Chapter 5 Logarithmic, Eponential, and Other Transcendental Functions Test Form E Chapter 5 Name Class Date Section A graphing calculator is needed for some problems.. Use logarithmic differentiation to find dy d : y.. Use a graphing calculator to graph the function f ln 6. a. Use the graph to evaluate the limit and check your answer analytically: b. Use the graph to evaluate the limit and check your answer analytically: c. Use the graph to state the domain of f.. Evaluate the integral: sin d. cos lim ln 6. lim ln 6.. Differentiate: y t t. 5. Differentiate: f e. 6. Evaluate the integral: e d. 7. Consider f e sin. a. Use a graphing calculator to graph f on the interval b. Use the graph of f to approimate a positive value of past which the value of f is less than 0.0. c. Use calculus to find the point of inflection on the interval 0,. 8. Differentiate: 9. Find the derivative: y. ht arccos t. 0. Evaluate the definite integral: 9 d.,.. Evaluate the integral: d.
12 Chapter 5 Test Bank 0. Use a graphing calculator to graph the function f sinh Then sketch the region bounded by f,. the -ais and the line and calculate its area.. Evaluate the integral: 5 d.. Evaluate the integral: csc d. 5. Find the limit: lim tanh.
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