What is the derivative of csc^2(x-5) ?

The derivative of csc^2(x-5) is -2csc^2(x)cot(x)

What is the first derivative of csc^2(x-5) ?

The first derivative of csc^2(x-5) is -2csc^2(x)cot(x)

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (csc^{2} (x)) - \frac{d}{d x} (5)

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

\frac{d}{d x} (5) = 0

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

Simplify

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

\int \frac{( 8 + 5 x )}{1 + x ^{2}} d x

\frac{d}{d x} ([x + (x + sin^{2} (x))^{6}]^{3})

\frac{\partial}{\partial y} (x e^{x y + 1})

\int_{- 1}^{x^{3}} 2 + t^{2} d t

(x^{2} + 1) y^{^{'}} + 6 x (y - 1) = 0, y (0) = 9

What is the derivative of csc^2(x-5) ?
The derivative of csc^2(x-5) is -2csc^2(x)cot(x)
What is the first derivative of csc^2(x-5) ?
The first derivative of csc^2(x-5) is -2csc^2(x)cot(x)