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Provide solution for RD Sharma maths class 12 chapter 10 Differentiation exercise Multiple choice question 18

Answers (1)

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Answer:

        -\frac{y}{x}

Hint:

        Differentiate the function w.r.t x

Given:

        3 \sin (x y)+4 \cos (x y)=5

Solution:  

        3 \sin (x y)+4 \cos (x y)=5

        \begin{aligned} &3 \cos (x y)\left[x \frac{d y}{d x}+y\right]-4 \sin (x y)\left[x \frac{d y}{d x}+y\right]=0 \\\\ &{\left[x \frac{d y}{d x}+y\right][3 \cos (x y)-4 \sin (x y)]=0} \end{aligned}

        \begin{aligned} &x \frac{d y}{d x}+y=0 \\\\ &x \frac{d y}{d x}=-y \\\\ &\frac{d y}{d x}=-\frac{y}{x} \end{aligned}

 

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