What is the derivative of x+2/(sin(x)) ?

The derivative of x+2/(sin(x)) is 1-2cot(x)csc(x)

What is the first derivative of x+2/(sin(x)) ?

The first derivative of x+2/(sin(x)) is 1-2cot(x)csc(x)

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

1 - 2 cot (x) csc (x)

Solution steps

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

Simplify

x + \frac{2}{sin ( x )} : x + 2 csc (x)

= \frac{d}{d x} (x + 2 csc (x))

Apply the Sum/Difference Rule:

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

= \frac{d x}{d x} + \frac{d}{d x} (2 csc (x))

\frac{d x}{d x} = 1

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

= 1 - 2 cot (x) csc (x)

\int_{0}^{\frac{π}{2}} 24 x^{2} sin (x) d x

x \to 0 - lim (\frac{3}{x ^{2} - x})

\int \frac{- x - 8}{x ^{2} + 9} d x

2 x^{2} - 2 x

\int 15 arctan (x) d x

What is the derivative of x+2/(sin(x)) ?
The derivative of x+2/(sin(x)) is 1-2cot(x)csc(x)
What is the first derivative of x+2/(sin(x)) ?
The first derivative of x+2/(sin(x)) is 1-2cot(x)csc(x)