What is the derivative of #5e^(x)+3#?

1 Answer
reudhreghs
May 1, 2016

#d/dx (5e^x+3)=5e^x#

Explanation:

The derivative of #e^x# is just #e^x#. Multiplied by five, and

#d/dx (5e^x)=5e^x#

Since #3# is a simple constant, its derivative is #0#, as it does not change the gradient of the graph - think about the graph of #y=3# and it has a gradient of #0#.

Therefore,

#d/dx (5e^x+3)=5e^x#

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