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December 20, 2014

December 20, 2014

Posted by **Alex** on Wednesday, May 21, 2008 at 7:37am.

Find dy/dx.

Also..

2) Let f(x) = 1/sqrt(4x^2-x). Determine f'(x).

3) Let y = 5/cubrt((2x-5)^2). Determine dy/dx.

- Calculus -
**drwls**, Wednesday, May 21, 2008 at 7:58am1) dy/dx = dy/du*du/dx

= (3 u^2 + 6)(8x^3 + 6x)

To get it in terms of x only, substitute the u(x) function for u.

2) Use the same "function of a function" approach as above. Let

u = 4x^2 -x

f(u) = u^(-1/2)

df/dx = df/du*du/dx

3) Let u = (2x-5)

f(u) = 5/u^(2/3)

Use the same procedure

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