Question

Find f '(−3), if f(x) = (2x2 − 7x)(−x2 − 7). Round your answer to the nearest integer. Use the hyphen symbol, -, for negative values.

Answer 1

Given f(x)=(2x2 − 7x)(−x2 − 7) the value of f'(3) will be a s follows:
f(x)=-2x^4+7x^3-14x^2+49x
thus from above:
f'(x)=-8x^3+21x^2-28x+49
thus
f'(3)=-8(3)^3+21(-3)^2-28(-3)+49
f'(3)=106
Answer: f'(3)=106