What is the derivative of Y(θ)=cot^2(cos(θ)) ?

The derivative of Y(θ)=cot^2(cos(θ)) is 2cot(cos(θ))csc^2(cos(θ))sin(θ)

What is the first derivative of Y(θ)=cot^2(cos(θ)) ?

The first derivative of Y(θ)=cot^2(cos(θ)) is 2cot(cos(θ))csc^2(cos(θ))sin(θ)

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derivative of

Y (θ) = cot^{2} (cos (θ))

2 cot (cos (θ)) csc^{2} (cos (θ)) sin (θ)

Solution steps

\frac{d}{d θ} (cot^{2} (cos (θ)))

Apply the chain rule:

2 cot (cos (θ)) \frac{d}{d θ} (cot (cos (θ)))

= 2 cot (cos (θ)) \frac{d}{d θ} (cot (cos (θ)))

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

= 2 cot (cos (θ)) csc^{2} (cos (θ)) sin (θ)

What is the derivative of Y(θ)=cot^2(cos(θ)) ?
The derivative of Y(θ)=cot^2(cos(θ)) is 2cot(cos(θ))csc^2(cos(θ))sin(θ)
What is the first derivative of Y(θ)=cot^2(cos(θ)) ?
The first derivative of Y(θ)=cot^2(cos(θ)) is 2cot(cos(θ))csc^2(cos(θ))sin(θ)