SOLUTION: If f(x) =1/(x^5 - 8x+7)^6 find f'(x)

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Question 1180828: If f(x) =1/(x^5 - 8x+7)^6 find f'(x)
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Writing it like this:
+f%28x%29+=+%28x%5E5-8x%2B7%29%5E%28-6%29+

You can use the chain rule. Sometimes this is remembered as "the derivative of the outside times the derivative of the inside", but more formally (f o g)' = (f' o g)*g':

f'(x) = -6%2A%28x%5E5-8x%2B7%29%5E%28-7%29%2A%285x%5E4-8%29+

f'(x) = %28-30x%5E4%2B48%29%2F%28x%5E5-8x%2B7%29%5E7+