Question

$\frac{dy}{dx}$
y= tan (cos x)​

Answer 1

Answer:

y = tan (cosx)

So,

dy/dx = dy/d(cosx)* d(cosx)/dx

Since, y is indirectly a function x and first the function of cosx so we apply the chain rule.

So,

dy/dx = sec^2(cosx) * ( -sinx)

Therefore,

dy/dx = - sinx * sec^2(cosx)