What is the derivative of csc^2(θ)-4 ?

The derivative of csc^2(θ)-4 is -2csc^2(θ)cot(θ)

What is the first derivative of csc^2(θ)-4 ?

The first derivative of csc^2(θ)-4 is -2csc^2(θ)cot(θ)

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derivative of

csc^{2} (θ) - 4

- 2 csc^{2} (θ) cot (θ)

Solution steps

\frac{d}{d θ} (csc^{2} (θ) - 4)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d θ} (csc^{2} (θ)) - \frac{d}{d θ} (4)

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

\frac{d}{d θ} (4) = 0

= - 2 csc^{2} (θ) cot (θ) - 0

Simplify

= - 2 csc^{2} (θ) cot (θ)

What is the derivative of csc^2(θ)-4 ?
The derivative of csc^2(θ)-4 is -2csc^2(θ)cot(θ)
What is the first derivative of csc^2(θ)-4 ?
The first derivative of csc^2(θ)-4 is -2csc^2(θ)cot(θ)