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  • Please solve RD Sharma class 12 chapter 10 Differentiation exercise Fill in the blanks question 13 maths textbook solution

Please solve RD Sharma class 12 chapter 10 Differentiation exercise Fill in the blanks question  13 maths textbook solution

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Answer: -1

Hint: differentiate the equation

Given: x^ \frac{1}{2}+y^ \frac{1}{2}=1

Solution:  

Differentiate given equation

\begin{aligned} &\frac{1}{2} x^ \frac{-3}{2}+\frac{1}{2} y^ \frac{-3}{2}, \frac{d y}{d x}=0 \\\\ &\frac{d y}{d x}=\frac{-x^\frac{-3}{2}}{-y^\frac{-3}{2}}=-(y / x)^{3 / 2} \end{aligned}

\begin{aligned} &{\left[\frac{d^{2}}{d x}\right]_{\left(\frac{1}{4}, \frac{1}{4}\right)}=-\left(\frac{\frac{1}{4}}{\frac{1}{4}}\right)^{3 / 2}} \end{aligned}

                    \begin{aligned} &=-(1)^{3 / 2} \\\\ &=-1 \end{aligned}

 

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