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Find the derivatives of the functions:f(x)=e3xln(x2+1)

Short Answer

Expert verified

The required answer is2xe3xx2+1+3e3xln(x2+1).

Step by step solution

01

Step 1. Given information. 

The given function is:f(x)=e3xln(x2+1)

02

Step 2. Find the derivative of the given function.

f(x)=e3xln(x2+1)f'(x)=ddxe3xln(x2+1)=e3xddxln(x2+1)+ln(x2+1)ddxe3x=e3x1x2+1×2x+ln(x2+1)3e3x=2xe3xx2+1+3e3xln(x2+1)

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