What is derivative of f(x)=cot^2(sin(θ)) ?

The answer to derivative of f(x)=cot^2(sin(θ)) is (dθ)/(dx)=0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of f(x)=cot^2(sin(θ))

derivative of

f (x) = cot^{2} (sin (θ))

\frac{d θ}{d x} = 0

Solution steps

f (x) = cot^{2} (sin (θ))

Treat

θ

θ (x)

Differentiate both sides:

0 = - 2 cos (θ) csc^{2} (sin (θ)) cot (sin (θ)) \frac{d θ}{d x}

Isolate

\frac{d θ}{d x} : \frac{d θ}{d x} = 0

\frac{d θ}{d x} = 0

What is derivative of f(x)=cot^2(sin(θ)) ?
The answer to derivative of f(x)=cot^2(sin(θ)) is (dθ)/(dx)=0