Find Derivatives using the Fundamental Theorem of Calculus
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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)=___
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Solution Summary
Derivatives are found using Part 1 of the Fundamental Theorem of Calculus.
Solution Preview
The fundamental theorem of calculus states that if:
then
as long as the function is continuous on the interval which ...
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