What is the solution for -derivative of y=csc^2(x) ?

The solution for -derivative of y=csc^2(x) is y=cot(x)+c_{1}

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Find the Derivative - d/dx y=csc(x)^2

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

y = cot (x) + c_{1}

Solution steps

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

Isolate

y^{'} (x) : y^{'} (x) = - csc^{2} (x)

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int - csc^{2} (x) d x

\int - csc^{2} (x) d x = cot (x) + c_{1}

y = cot (x) + c_{1}

\frac{1}{( x ^{- 2} )}

- \frac{d}{d x} (sin (2 x))

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

- \frac{d}{d x} y = 5 x

(- 4, 2), (4, - 4)

What is the solution for -derivative of y=csc^2(x) ?
The solution for -derivative of y=csc^2(x) is y=cot(x)+c_{1}