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    Derivatives and Tangent Lines

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    3. Answer these questions.

    a. Find f'(x) where f(x)= 3x4 + 2 -
    b. Find the equation of the tangent line at x=1 for the function f(x) from part a.
    c. Find for y=2lnx+5x -2log3x

    © BrainMass Inc. brainmass.com December 24, 2021, 7:08 pm ad1c9bdddf
    https://brainmass.com/math/derivatives/derivatives-tangent-lines-165592

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    3. Answer these questions.

    a. Find f'(x) where f(x)= 3x4 + 2 -

    Using the basic formula

    b. Find the equation of the tangent line at x=1 for the function f(x) from part a.
    The slope of the tangent line is the derivative

    So the point is (1, 1).
    Therefore, the tangent line has slope 74/3 and passes through point (1, 1).
    The line equation is

    c. Find for y=2lnx+5x -2log3x

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

    © BrainMass Inc. brainmass.com December 24, 2021, 7:08 pm ad1c9bdddf>
    https://brainmass.com/math/derivatives/derivatives-tangent-lines-165592

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