Question

Find f '(−5), if f(x) = (−4x2 − 2x)(−x2 − 9)

Answer 1

*Answer*
x+0 or x=-0.63297

heres step by step
−5x=(−4x2−2x)(−x2−9)−5x=4x4+2x3+36x2+18x
heres step by step

Step 1: Subtract 4x^4+2x^3+36x^2+18x from both sides

−5x−(4x4+2x3+36x2+18x)=4x4+2x3+36x2+18x−(4x4+2x3+36x2+18x)−4x4−2x3−36x2−23x=0

Step 2: Factor left side of equation

x(−4x3−2x2−36x−23)=0Step 3: Set factors equal to 0.x=0 or −4x3−2x2−36x−23=0x=0 or x=−0.63297