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    Differentiation

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    Differentiation

    1. Show that if the tangent to y=ekx at (a, eka) passes through the origin then a=1/k.
    2. Find the value of a and b so that the line 2x +3y = a is tangent to the graph of f(x)=bx2 at the point where x = 3.

    See attached file for full problem description.

    © BrainMass Inc. brainmass.com March 4, 2021, 7:26 pm ad1c9bdddf
    https://brainmass.com/math/derivatives/differentiation-tangent-line-101548

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    Solution Preview

    Please see the attached file.

    1. Show that if the tangent to y=ekx at (a, eka) passes through the origin then a=1/k

    Solution:

    Differentiating the given function, we get y'=kekx. At the point (a, eka) the slope of the tangent is ...

    Solution Summary

    This is a proof regarding the tangent and shows how to find values so that a given line is a tangent to a given curve.

    $2.49

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