Find the derivatives of the functions. f(x)=e^{2x+1}

Reeves

Reeves

Answered question

2021-06-11

Find the derivatives of the functions. f(x)=e2x+1

Answer & Explanation

wheezym

wheezym

Skilled2021-06-12Added 103 answers

Recall the generalized rule for the derivative of exponential function:
ddx[eu]=eududx
In this exercise, we want to find the derivative of
f(x)=e2x+1
To make use of the rule, denote the argument of the exponential function by u, i.e.
u=2x+1
Using the rule from Step 1, we get:
f(x)=eududx=e2x+1ddx(2x+1)}=2
=2e2x+1

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