Exercise ID138

Mathematical analysis → Derivation → Derivative of exponential functions
[Level: ] [Number of helps: 0] [Number of pictures: 0] [Number of steps: 7] [Number of characters: 0]

Compute the derivative of the given function below.


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


Start the solution
Restart the solution
Final solution
Hide the final solution
Entire solution!
Hide the entire solution!
Hide theory