Find the derivative of $y=2 \sqrt{x}+x^{5}$
.
A) $1 \sqrt{x}+5 x^{4}$

B) $\frac{1}{\sqrt{x}}+5 x^{4}$

C) $-\frac{1}{\sqrt{x}}+5 x^{4}$

D) $2+5 x^{4}$

E)None of the above

Question

Find the derivative of $y=2 \sqrt{x}+x^{5}$
 .
A) $1 \sqrt{x}+5 x^{4}$

B) $\frac{1}{\sqrt{x}}+5 x^{4}$

C) $-\frac{1}{\sqrt{x}}+5 x^{4}$

D) $2+5 x^{4}$

E)None of the above

Quizplus · Accepted Answer

The derivative of $y=2 \sqrt{x}+x^{5}$ is found by applying the power rule. The derivative of $2 \sqrt{x}$ is $2 \cdot \frac{1}{2}x^{-\frac{1}{2}} = \frac{1}{\sqrt{x}}$, and the derivative of $x^{5}$ is $5x^{4}$. Therefore, the correct derivative is $\frac{1}{\sqrt{x}}+5 x^{4}$.

Find the Derivative Of y=2x+x5y=2 \sqrt{x}+x^{5}y=2x​+x5 A) 1x+5x41 \sqrt{x}+5 x^{4}1x​+5x4 B) 1x+5x4\frac{1}{\sqrt{x}}+5 x^{4}x​1​+5x4

Find the Derivative Of $y=2 \sqrt{x}+x^{5}$
A) $1 \sqrt{x}+5 x^{4}$ B) $\frac{1}{\sqrt{x}}+5 x^{4}$