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

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

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

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

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derivative of

csc^{2} (x) - 4

- 2 csc^{2} (x) cot (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (4) = 0

= - 2 csc^{2} (x) cot (x) - 0

Simplify

= - 2 csc^{2} (x) cot (x)

(x + 6 x y^{4}) d x + e^{x^{2}} y^{3} d y = 0

y^{^{''}} + 16 y = sec (4 x)

\frac{d}{d x} (x^{3})

\int_{- 1}^{1} 2 - ∣ x ∣ - x^{4} d x

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