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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\frac{d}{d x} (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)

\frac{4}{x ^{2} + x}

e^{- x}, 0

\frac{d}{d x} ((2 x + 5) (3 x^{2} - 4 x + 1))

(x + 1) (ln (x + 1))

e^{2 x}, e^{5 x}, x = 1

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)