Differentiate (x+1)2x with respect to X.?

Differentiate (x+1)2x with respect to X.

1 Answer
Apr 27, 2018

1x31x2

Explanation:

We can avoid use of the Quotient Rule and Chain rule rather easily in this problem, it avoids a lot of unnecessary work:

Expand (x+1)2:

(x+1)(x+1)=x+2x+1

We now have

x+2x+1x=xx+2xx+1x

Rewrite with negative exponents:

=1+2x12+x1

Differentiate, noting how we now only need to apply the Power Rule and the fact that the derivative of a constant is zero:

ddx(x+1)2x=x32x2

=1x31x2