Differentiate #(sqrt(x) + 1 )^2/ x# with respect to #X.#?
Differentiate #(sqrt(x) + 1 )^2/ x# with respect to #X.#
Differentiate
1 Answer
Apr 27, 2018
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
We now have
Rewrite with negative exponents:
Differentiate, noting how we now only need to apply the Power Rule and the fact that the derivative of a constant is zero: