First slide

Diffrentiation

Question

Differentiate the following the respect to $x .$
$\sqrt{x} (x^{2} + 7)$

Moderate

A

$\frac{1}{2 \sqrt{x}} (7 - 5 x^{2})$
B

$\frac{1}{2 \sqrt{x}} (7 + x^{2})$
C

$\frac{1}{2 \sqrt{x}} (14 + 5 x^{2})$
D

$\frac{1}{2 \sqrt{x}} (7 + 5 x^{2})$

Solution

Derivative of the function is $\frac{5}{2} x^{\frac{3}{2}} + \frac{7}{2 \sqrt{x}} = \frac{1}{2 \sqrt{x}} (7 + 5 x^{2})$ .

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