Question

√x[x^2+ 7] find the derivative of this function​

Answer 1

Question:-

$to \: find \: derivative \: of \: \sqrt{x( {x}^{2} + 7) }$

Solution:-

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

$using \: chain \: rule \: of \: diffrentiation \\ we \: get \\ \frac{dy}{dx} = \frac{1}{2} {( {x}^{2} + 7) }^{ \frac{ - 1}{2} } \times \: 2x + 0 \\ \frac{dy}{dx} = \frac{1}{2} \times \frac{1}{ \sqrt{ {x}^{2} + 7} } \times 2x \\ \frac{dy}{dx} = \frac{x}{ \sqrt{ {x}^{2} + 7 } } \\ this \: will \: be \: the \: required \: diffrentiation$

{hope it helps you}

Answer 2

Answer:

Explanation:

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