Question 1

Use logarithmic differentiation to find the derivative of the function.

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Question 2

Starting with the graph of  , find the equation of the graph that results from reflecting about the line  .

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Question 3

When a camera flash goes off, the batteries immediately begin to recharge the flash's capacitor, which stores electric charge given by  (The maximum charge capacity  is and t is measured in seconds.) How long does it take to recharge the capacitor to 90% of capacity if  ?

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Question 4

Starting with the graph of  , write the equation of the graph that results from shifting 5 units right.

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Question 5

Find  .

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...

Question 6

If  , find  .

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...

Question 7

Use the laws of logarithms to expand the expression.ln

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Question 8

Differentiate the function.

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Question 9

Solve the equation.

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...

Question 10

Use logarithmic differentiation to find the derivative of the function.

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Question 11

Find an equation of the tangent line to the curve  at  .

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Question 12

Suppose that the graph of  is drawn on a coordinate grid where the unit of measurement is an inch. How many miles to the right of the origin do we have to move before the height of the curve reaches 3 ft? Rounded to the nearest mile.

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Question 13

Determine whether f is one-to-one.

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Question 14

Find the domain, range, and x-intercept(s) of the function.

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Question 15

The graph of f is given. Sketch the graph of  on the same set of axes.  3

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Question 16

Solve each equation for x.(a)  (b)

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Question 17

Differentiate the function.

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Question 18

Find the exact value of the expression.

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Question 19

Find a formula for the inverse of the function.

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Question 20

Use the laws of logarithms to write the expression as the logarithm of a single quantity.4 ln 5 -  ln (x + 6)

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Quiz 3: Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

Use logarithmic differentiation to find the derivative of the function.

Starting with the graph of , find the equation of the graph that results from reflecting about the line .

When a camera flash goes off, the batteries immediately begin to recharge the flash's capacitor, which stores electric charge given by (The maximum charge capacity is and t is measured in seconds.) How long does it take to recharge the capacitor to 90% of capacity if ?

Starting with the graph of , write the equation of the graph that results from shifting 5 units right.

Find .

If , find .

Use the laws of logarithms to expand the expression.ln

Differentiate the function.

Solve the equation.

Use logarithmic differentiation to find the derivative of the function.

Find an equation of the tangent line to the curve at .

Suppose that the graph of is drawn on a coordinate grid where the unit of measurement is an inch. How many miles to the right of the origin do we have to move before the height of the curve reaches 3 ft? Rounded to the nearest mile.

Determine whether f is one-to-one.

Find the domain, range, and x-intercept(s) of the function.

The graph of f is given. Sketch the graph of on the same set of axes. 3

Solve each equation for x.(a) (b)

Differentiate the function.

Find the exact value of the expression.

Find a formula for the inverse of the function.

Use the laws of logarithms to write the expression as the logarithm of a single quantity.4 ln 5 - ln (x + 6)