Exercise ID138

Mathematical analysis → Derivation → Derivative of exponential functions
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Compute the derivative of the given function below.

y=ax+a2x+12a-x

y=ax+ux+12vx u=a2x; g=2x; u=ag ; g'=2 u'=ag·g'x=ag·ln a·2=2·a2x·ln a v=a-x; g=-x; v=ag ; g'=-1 v'=ag·g'x ; g'=ag·ln a·-1=-a-x·ln a y'=axln a+2a2xln a-12a-xln a y'=ln a ax+2a2x-12a-x
y'=ln a ax+2a2x-12a-x

daxdx=ax·ln a

ddxfgx=dfdg·dgdx=f'g·g'x

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