Differentiate with respect to x.

OR

Differentiate with respect to

Given:

Let

Solving for u and v separately,

u = (sin2x)^x

[now differentiating wrt to x on both sides]

[formula: ]

[formula: ]

OR

Given:

Let and

cos(z) = x²

now substituting x² in y

[formula: ]

[formula: ]

Now differentiating y with respect to z