Calculating the derivative of ex involves finding the limit of (eh - 1)/h as h approaches zero.
Drag the slider to see the value of this expression for different values of h.
h = 1
For b > 0, b ≠ 1,
d/dx ex = exandd/dx bx = bxln b
For b > 0, b ≠ 1, and x > 0
d/dx ln x = 1/xandd/dx logb x = (1/ln b)(1/x)