1. Chapter 5 Review
JEOPARDY
-AP Calculus-

2. 100 200 300 400 500 Inverse Functions Review of Logarithms
Exponential Functions
Logarithmic Functions
Inverse Trig Functions
100
200
300
400
500

3. Inverse Functions 100
Find the inverse of the function.
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4. Inverse Functions 200
Find the inverse of the function.
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5. Inverse Functions 300
Find the inverse of the function.
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6. Inverse Functions 400 Suppose g is the inverse of f and f(2) = 7 and
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7. Inverse Functions 500
If f(x) = 2x + cos(x), find
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8. Review of Logarithms 100 Simplify the expressions. (a) (b)
(c) log log104
(d) log6360 – log610
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9. Review of Logarithms 200
Evaluate the following using a calculator and the change of base formula. 1. log46
2. log917
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10. Review of Logarithms 300
A log table says that log 2 = and log 9 = Describe how to find log 18 and log29 and compute both.
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11. Review of Logarithms 400
Solve the exponential equations. Round to three decimal places, if necessary. (a) (b)
(c)
(d)
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12. 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
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13. Exponential Functions 100
Compute the derivatives.
(a)
(b)
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14. Exponential Functions 200
Find dy/dx if cos(x – y) = xex.
Find the 1000th derivative of f(x) = xe-x.
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15. Exponential Functions 300
Find the equation of the tangent line to the curve at the point (0,2).
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16. Exponential Functions 400
Find the integrals.
(a)
(b)
(c)
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17. Exponential Functions 500
Find the equation of the tangent line to the graph of the function y = 3x-4 at (4,1).
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18. Logarithmic Functions 100
Find the derivative of each function. (a)
(b)
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19. Logarithmic Functions 200
Find the equation of the tangent line to the function y = log3x at the point (27,3).
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20. Logarithmic Functions 300
Integrate.
(a)
(b)
(c)
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21. Logarithmic Functions 400
Use logarithmic differentiation to find dy/dx.
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22. Logarithmic Functions 500
Use logarithmic differentiation to find the equation of the tangent line to the function at the point (e,1).
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23. Inverse Trig Functions 100
Evaluate the expressions without using a calculator. (a)
(b)
(c)
(d)
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24. Inverse Trig Functions 200
Find the derivative of each function. (a)
(b)
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25. Inverse Trig Functions 300
If , find
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26. Inverse Trig Functions 400
Integrate. (a)
(b)
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27. Inverse Trig Functions 500
Integrate.
(a)
(b)
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