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April 20, 2014

Homework Help: COLLEGE CALCULUS. HELP!

Posted by cynthia on Saturday, February 25, 2012 at 9:50pm.

Let f(x)=(-3x^2+6)^4(9x^2+7)^14, Find f'(x).

f'(x)= (-3^2+6)^4 d/dx(9x^2+7)^14+(9x^2+7) d/dx(-3x^2+6)^4
=(-3x^2+6)x14(9x^2+7)^13 d/dx(9x^2+7)+(9x^2+7)^14x4(-3x^2+6)^3 d/dx(-3x^2+6)
=14(-3x+6)^4(9x^+7)^13 (18x)+ 4(9x^2+7)(-3x^2+6)^3 (-6x)

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