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Homework Help Forum: Calculus BC

Posted by Karen on Thursday, October 29, 2009 at 2:20am.

Can someone help me differentiate this?
f(x)= 2cos(5 ln(x))
So what is f'(x)?

  • Calculus BC - MathMate, Thursday, October 29, 2009 at 7:36am

    You'll need the chain rule, which says
    dy/dx = dy/du . du/dx
    Set 5ln(x) as u, then you proceed with
    f'(x) = 2cos(u).du/dx
    noting that d(ln(x))/dx = 1/x
    Can you take it from here?

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