Question

Differentiate
$log(x) \sqrt{x}$
​

Answer 1

Step-by-step explanation:

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by the rule

$\frac{d \: a \times b}{dx} =b\frac{d \: a}{dx} + a \frac{d \: b}{dx}$

$log(x) \frac{d \sqrt{x} }{dx} + \sqrt{x} \frac{d log(x) }{dx}$

$log(x) \times 1 \div 2 \sqrt{x} + \sqrt{x} \times 1 \div x$

$log(x) \div 2 \sqrt{x} + 1 \div \sqrt{x}$

$(log(x) + 2) \div 2 \sqrt{x}$

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