Derivatives of Exponential and Logarithm Functions

Derivatives of Exponential and Logarithm Functions

10/17/2011

The Derivative of y = ex

Recall! ex is the unique exponential function whose slope at x = 0 is 1:

m=1

The Derivative of y = ex

Recall! ex is the unique exponential function whose slope at x = 0 is 1:

m=1

e0+h - e0

eh - 1

lim

= lim

=1

h0

h

h0 h

The Derivative of y = ex...

eh - 1

lim

=1

h0 h

The Derivative of y = ex...

eh - 1

lim

=1

h0 h

d ex = lim ex+h - ex

dx

h0

h

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