Explore BrainMass

Explore BrainMass

    Find Derivatives using the Fundamental Theorem of Calculus

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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)=___

    © BrainMass Inc. brainmass.com March 4, 2021, 6:16 pm ad1c9bdddf
    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.

    $2.49

    ADVERTISEMENT