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  • Need solution for RD Sharma maths class 12 chapter Higher Order Derivatives exercise 11.1 question 1 subquestion (iii)

Need solution for RD Sharma maths class 12 chapter Higher Order Derivatives exercise 11.1 question 1 subquestion (iii)

Answers (1)

Answer:

        -cosec^{2}x

Hint:

You must know about derivative of sin x & log x

Given:

        log(sin\, x)

Solution:

Let\: \: y=log(sin\, x)

        \begin{array}{ll} \frac{d y}{d x}=\frac{1}{\sin x} \frac{d \sin x}{d x} & \left(\frac{d \log x}{d x}=\frac{1}{x}\right) \\\\ \frac{d y}{d x}=\frac{1}{\sin x} \cos x & \left(\frac{d \sin x}{d x}=\cos x\right) \\\\ \frac{d y}{d x}=\cot x & \left(\frac{\cos x}{\sin x}=\cot x\right) \\\\ \frac{d^{2} y}{d x^{2}}=\cot x & \\\\ \frac{d^{2} y}{d x^{2}}=-cosec^{2} x & \left(\frac{d}{d x} \cot x=-cosec^{2} x\right) \end{array}

Posted by

Gurleen Kaur

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