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Provide solution for RD Sharma maths class 12 chapter 9 Differentiability exercise Fill in the blanks question  6

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Hint: If f(x) is differentiable at all x\in R, we must showf'(x)exists at all x\in R

Given: f(x)=|\sin x|,\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]


We know thatf(x)=|\sin x| is continuous everywhere but not differentiable at integer multiples of \piand at x=0.

At x=0 and x=k\pi (k is an integer),

From the graph,x = 0 at this point \left | \sin x \right | is not differentiable.

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