Let fx=sinx ; gx=x2 and hx=logex and Fx=hgfx then d2Fdx2 is equal to -

Question

Let

f (x) = \sin x; g (x) = x^{2} and h (x) = \log_{e} x and F (x) = h [g (f (x))]

then

\frac{d^{2} F}{d x^{2}}

is equal to -

2 {cosec}^{3} x

2 \cot (x^{2}) - 4 x^{2} {cosec}^{2} (x^{2})

2 x \cot x^{2}

- 2 {cosec}^{2} x

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