# Find Derivatives using the Fundamental Theorem of Calculus

Use part I of the Fundamental Theorem of Calculus to find the derivatives of the following functions; answers must use correct variable.

a. f(x)=the integral as pi goes to x of (1+cos[t])dt; f'(x)=___

b. f(u)=the integral as -1 goes to u of [1/(x+4x^2)]dx; f'(u)=___

https://brainmass.com/math/calculus-and-analysis/derivatives-using-fundamental-theorem-calculus-37845

#### Solution Preview

The fundamental theorem of calculus states that if:

then

as long as the function is continuous on the interval which ...

#### Solution Summary

Derivatives are found using Part 1 of the Fundamental Theorem of Calculus.

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