Find the derivative of the function:

a.

Couldn't get the bounds to come out right, but they are 2x to 3x.

b.

from sqrt(x) to .

Can someone help with these?

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- Nov 30th 2009, 02:13 PMhazecrazefundamental theorem of calculus problem
**Find the derivative of the function:**

a.

Couldn't get the bounds to come out right, but they are 2x to 3x.

b.

from sqrt(x) to .

Can someone help with these? - Nov 30th 2009, 02:35 PMJameson
Both of these are easy if you know the FTC. Part of it says that the derivative of an integral is the original function. When you have bounds from a definite integral you plug in the top bound into f(u) minus the lower bound of f(u). If either bound is not "x" or a constant, you must apply the chain rule and multiply the f(u) by u'.

See this page for some good examples:

The Fundamental Theorem of Calculus - Nov 30th 2009, 02:37 PMadkinsjr