Evaluate the following derivatives. d/(dx)((x+1)^(2x))

boitshupoO 2021-02-19 Answered
Evaluate the following derivatives. ddx((x+1)2x)
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Expert Answer

toroztatG
Answered 2021-02-20 Author has 98 answers

Step 1
To Determine: Evaluate the following derivatives.
Given: we have a function (x+1)2x
Explanation, we have a function y=(x+1)2x we have to find the derivative of y now we will applying exponent rule ab=ebln(a)so we have (x+1)2x=e2xln(x+1) now we will applying the chain rule
ddx(e2xln(x+1))=e2xln(x+1)ddx(2xln(x+1))
Step 2
Now we will use product rule
e2xln(x+1)ddx(2xln(x+1))=e2xln(x+1)×2×[xddxln(x+1)+ln(x+1)dxdx]
=2e2xln(x+1)[xx+1+ln(x+1)]
=2(x+1)2x[xx+1+ln(x+1)]

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Jeffrey Jordon
Answered 2021-11-17 Author has 2064 answers

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