SOLUTION: Find f ' (x) if f(x)=(4x-5)^3 x (5x^2+8)^3

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Question 1160094: Find f ' (x) if f(x)=(4x-5)^3 x (5x^2+8)^3
Found 2 solutions by MathLover1, math_helper:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

......expand



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'


Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

Another way....

Use the product & chain rules:
Product rule d(f(x)g(x))/dx = f(x)g'(x) + f'(x)g(x)
Example: f'( ) = and then simplify if necessary. Yes, that simple!
"First times the derivative of the 2nd, plus the 2nd times the derivative of the first."


Chain rule (f(g(x)))' = f'(g(x))*g'(x)
Example: f' ( ) =
"Derivative of the expression times the derivative of what's inside."

f'(x) =
Factor out
=
=


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