Differentiate: $f ( x ) = \sqrt { x } + \frac { 5 } { \sqrt { x } }$
A) $\frac { 1 } { 2 \sqrt { x } } - \frac { 5 } { 2 \sqrt { x ^ { 3 } } }$
B) 0
C) 5
D) $\frac { 1 } { 2 \sqrt { x } } + \frac { 5 } { 2 \sqrt { x ^ { 3 } } }$

Question

Quizplus · Accepted Answer

The differentiation of $f(x) = \sqrt{x} + \frac{5}{\sqrt{x}}$ using the power rule gives $\frac{1}{2\sqrt{x}} - \frac{5}{2x^{3/2}}$, which simplifies to the expression in option A.

Differentiate f(x)=x+5xf ( x ) = \sqrt { x } + \frac { 5 } { \sqrt { x } }f(x)=x​+x​5​

Differentiate $f ( x ) = \sqrt { x } + \frac { 5 } { \sqrt { x } }$