Differentiate Sin Square x with Respect to e to the Power Cosx

Let u = sin2x and v = ecosx.

u = sin2x ----> u is a function of x

v = ecosx ----> v is a function of x

Since both u and v are the functions of x, we can find the derivatives of u and v with resepct to x.

That is, ᵈᵘ⁄d and ᵈⱽ⁄d.

Our aim is to find the derivative of sin2x with respect to ecosx. That is, derivative of u with respect to v.

When both u and v are the functions of x, formula to find the derivative of u with respect to v :

Substitute u = sin2x, v = ecosxᵈᵘ⁄d = 2 sinx cosx and ᵈⱽ⁄d = -sinx ecosx.

Derivative of sin2x with respect to ecosx is

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