Derivatives of Exponential Functions

Derivatives of Exponential Functions

This one is easy:

    d/dx(eu) = eu du/dx

For example:

    y = e5x

    dy/dx = e5x*5x = 5xe5x

Now try these. Take dy/dx:

    1. y = e(2x+1)

    2. y = esinx

        dy/dx = cos x esinx

    3. y = ex^^2         Note: this is e to the x squared power.