यदि f(x) = sqrt{ax} + frac{a^2}{sqrt{ax}} है, | vedclass

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(C) दिया गया है $f(x) = \sqrt{ax} + \frac{a^2}{\sqrt{ax}} = \sqrt{a} \cdot x^{1/2} + a^2 \cdot a^{-1/2} \cdot x^{-1/2} = \sqrt{a} \cdot x^{1/2} + a^{3

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(C) दिया गया है $f(x) = \sqrt{ax} + \frac{a^2}{\sqrt{ax}} = \sqrt{a} \cdot x^{1/2} + a^2 \cdot a^{-1/2} \cdot x^{-1/2} = \sqrt{a} \cdot x^{1/2} + a^{3/2} \cdot x^{-1/2}$.$x$ के सापेक्ष अवकलन करने पर:$f'(x) = \sqrt{a} \cdot \frac{1}{2} x^{-1/2} + a^{3/2} \cdot \left( -\frac{1}{2} x^{-3/2} \right)$.$f'(x) = \frac{\sqrt{a}}{2\sqrt{x}} - \frac{a^{3/2}}{2x^{3/2}}$.अब,$x = a$ पर मान ज्ञात करने पर:$f'(a) = \frac{\sqrt{a}}{2\sqrt{a}} - \frac{a^{3/2}}{2a^{3/2}}$.$f'(a) = \frac{1}{2} - \frac{1}{2} = 0$.

यदि $f(x) = \sqrt{ax} + \frac{a^2}{\sqrt{ax}}$ है,तो $f'(a) = $

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