## Find f ‘(−3), if f(x) = (2x^2 − 7x)(−x^2 − 7). Round your answer to the nearest integer. Use the hyphen symbol, -, for negative values.

Question

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## Answers ( No )

Answer:

Step by step:

To get the derivative you can either multiply out the product (which I did below), or apply the formula for the derivative of a product of two functions. Either way you will obtain the same result, of course.

use product rule

(where the ‘ symbol is derivitive with respect to x, (just using Leibniz notation)

also remember the power rule:

and sum rule,

so first find the derivitive then evaluate it

if we say that and

setup:

find g'(x) and h'(x)

so

evaluate f'(-3)

answer: f'(-3)=538