SOLUTION: Let f(x)=(x^3+4x+5)^2 f ' (x)=? f ' (5)=?

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Question 1160093: Let f(x)=(x^3+4x+5)^2
f ' (x)=?
f ' (5)=?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=%28x%5E3%2B4x%2B5%29%5E2....expand
f%28x%29=%28x%5E3%2B4x%2B5%29%28x%5E3%2B4x%2B5%29
f%28x%29+=+x%5E6+%2B+8+x%5E4+%2B+10+x%5E3+%2B+16+x%5E2+%2B+40+x+%2B+25
derivate:
f ' %28x%29=+6x%5E5%2B32x%5E3%2B30x%5E2%2B32x%2B40
if x=5:
f+' %285%29=+6%2A5%5E5%2B32%2A5%5E3%2B30%2A5%5E2%2B32%2A5%2B40
f+' %285%29=+23700