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help with my test review

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asked Oct 17, 2014 in PRECALCULUS by Baruchqa Pupil

2 Answers

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(1).

The equation is image.

Differentiate with respect to x.

image

Apply quotient rule of derivative: image

 

image

image

image

image

answered Oct 17, 2014 by casacop Expert
0 votes

(2).

The function is image.

To find f(2), substitute x = 2 in the above function.

image

Therefore, the point isimage.

Find the slope of tangent line:

image

Slope of tangent line at (2, 32).

image.

Point-slope form of line equation: image, where m = slope and image is point.

image

image

image.

The tangent line equation is y = 64x - 96.

answered Oct 17, 2014 by casacop Expert

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