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

The answer to derivative of f(x)=cot^2(cos(θ)) is derivative of θ=0

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derivative of f(x)=cot^2(cos(θ))

derivative of

f (x) = cot^{2} (cos (θ))

\frac{d}{d x} (θ) = 0

Solution steps

f (x) = cot^{2} (cos (θ))

Treat

θ

θ (x)

Differentiate both sides:

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

Isolate

\frac{d}{d x} (θ) : \frac{d}{d x} (θ) = 0

\frac{d}{d x} (θ) = 0

\int \frac{( 2 x - 5 ) ^{2}}{3} d x

\int_{0}^{\frac{π}{6}} 3 cos^{5} (3 x) d x

\frac{d}{d y} (x^{2} + x y + y^{2})

\int_{0}^{4} 2 x - x d x

x \to 0 lim (\frac{1}{x ^{3} - 1} + 1)

What is derivative of f(x)=cot^2(cos(θ)) ?
The answer to derivative of f(x)=cot^2(cos(θ)) is derivative of θ=0