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    Differential Functions

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    Assume that f/g (x) = x^2 + 2x, where f and g are differentiable functions such that f(2) = 2 and f'(2)= 3. Find g'(2).

    © BrainMass Inc. brainmass.com December 24, 2021, 4:48 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/differential-prime-functions-9018

    SOLUTION This solution is FREE courtesy of BrainMass!

    f/g(x) = x^2 + 2x.....

    or g(x) = f(x)/ (x^2 + 2x) or f(x)*(x^2 + 2x)^-1

    g'(x) = f(x)*-1(x^2 + 2x)^-2*(2x+ 2) + f'(x)*(x^2 + 2x)^-1

    therefore g'(2)= f(2)*-1(2^2 + 2*2)^-2*(2*2+ 2) + f'(2)*(2^2 + 2*2)^-1

    = -2*((8)^-2)*6 + 3*((8)^-1)

    = -12/64 + 3/8
    = 12/64 or 3/16.

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

    © BrainMass Inc. brainmass.com December 24, 2021, 4:48 pm ad1c9bdddf>
    https://brainmass.com/math/calculus-and-analysis/differential-prime-functions-9018

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