Calculating the derivative of *e ^{x}* involves finding the limit of (e

Drag the slider to see the value of this expression for different values of *h*.

For *b > 0, b ≠ 1*,

d/dx e

^{x}= e^{x}andd/dx b^{x}= b^{x}ln b

For *b > 0, b ≠ 1*, and *x > 0*

d/dx ln x = 1/xandd/dx log

_{b}x = (1/ln b)(1/x)