What is the derivative of sin(x-csc(x)) ?

The derivative of sin(x-csc(x)) is cos(x)+cot(x)csc(x)

What is the first derivative of sin(x-csc(x)) ?

The first derivative of sin(x-csc(x)) is cos(x)+cot(x)csc(x)

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

cos (x) + cot (x) csc (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sin (x)) - \frac{d}{d x} (csc (x))

\frac{d}{d x} (sin (x)) = cos (x)

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

= cos (x) - (- cot (x) csc (x))

Simplify

= cos (x) + cot (x) csc (x)

\int (2 x^{2} - 3)^{2} d x

x \to 2 lim (\frac{x}{x - 2})

x \to \infty lim (x^{3})

cos (x) + i sin (x)

\int e^{2 x} x d x

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