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  • Explain solution RD Sharma class 12 chapter 10 Differentiation exercise Fill in the blanks question 4 maths

Explain solution RD Sharma class 12 chapter 10 Differentiation exercise Fill in the blanks question  4 maths

Answers (1)

Answer: k=1

Hint: \frac{d y}{d x}=\cos x^{0}

Given: y=\sin x^{0} \quad \text { and } \frac{d y}{d x}=k \cos x^{0}

Solution:  y=\sin x^{0}         \because \hspace{1cm}x^{0}=\frac{\pi}{180}x

Differentiating y.u.1 to x

\begin{aligned} &\frac{d y}{d x}= \frac{\pi}{180}\cos x^{0}\ldots \ldots\ldots(i)\\ &\text { And } \frac{d y}{d x}=k \cos x^{0}\ldots\ldots(ii) \end{aligned}

By (i) and (ii)

k=\frac{\pi}{180}

 

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infoexpert26

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