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Question

Find the second derivative of the following function: y=e3x+2

A
e3x+2
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B
e9y
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C
3e3x+2
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D
9y
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Solution

The correct option is D 9y
We have,
y=e3x+2
To differentiate this function, we need to use chain rule.

First derivative of this function is:
dydx=e3x+2.ddx(3x+2)
dydx=3e3x+2=3y

Second derivative of this function is:
d2ydx2=ddx3e3x+2=3y.ddx(3x+2)
d2ydx2=9y

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