Question

What is the second derivative of Sin²x​

Answer 1

`\textbf{First derivative:}\\\\~~(d)/(dx)(\sin^2 x) \\\\\\= 2 \sin x \cdot (d)/(dx) (\sin x)\\\\\\=2 \sin x \cos x\\\\\\=\sin 2x\\\\ \textbf{Second derivative:}\\\\(d^2)/(dx^2) (\sin^2 x)\\\\\\=(d)/(dx)(\sin 2x)\\\\\\=\cos 2x (d)/(dx)(2x)\\\\\\=2 \cos 2x\\\\\text{Hence, the second derivative of the given function is}~ 2 \cos (2x).`