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

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

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

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

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derivative of

- csc (x) - sin (x)

cot^{2} (x) cos (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

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

= cot^{2} (x) cos (x)

- 6 t^{3}

f (x) = x^{3} + 6 x^{2} + x

y^{^{''}} + 2 y^{^{'}} + 10 y = 3 e^{t} + 1

\int 2050 - 18 x - 4 x^{2} d x

- y^{^{'}} + \frac{4 y}{x} = x^{3} y^{2}

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