Differntiate

sin(sinx) using the product rule

3 answers

y = sin(sin x)

y' = cos (sin x) * cos x
how can you explain the steps and formula
Let z = sin x
then we have
d/dx [ sin z }
which is
cos z * dz/dx
or
cos (sin x) * dz/dx
but dz/dx is cos x
so
cos (sin x) * cos x