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    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 Preview

    The fundamental theorem of calculus states that if:


    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.