Question

Find dy/dx given that y = sin(cos(x))​

Answer 1

Hi there!

$\large\boxed{-sin(x)cos(cos(x))}$

Use the chain rule:

f(g(x)) = f'(g(x)) · g'(x)

Thus:

dy/dx sin(x) = cos(x)

dy/dx cos(x) = -sin(x)

Use the chain rule format:

f(x) = sin(x)

g(x) = cos(x)

cos(cos(x)) · (-sin(x))

-sin(x)cos(cos(x))