If y = cos–1 x, Find d2y/dx2 in terms of y alone.

Q12 of 147 Page 183

If y = cos^–1 x, Find d²y/dx² in terms of y alone.

It is given that y = cos^–1 x

Now,

Therefore,

………………………(1)

Now it is given that y = cos^–1 x

⇒ x= cosy

Now putting the value of x in equation (1), we get

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