What is the derivative of sin(x)+8/5 cot(x) ?

The derivative of sin(x)+8/5 cot(x) is cos(x)-8/5 csc^2(x)

What is the first derivative of sin(x)+8/5 cot(x) ?

The first derivative of sin(x)+8/5 cot(x) is cos(x)-8/5 csc^2(x)

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derivative of

sin (x) + \frac{8}{5} cot (x)

cos (x) - \frac{8}{5} csc^{2} (x)

Solution steps

\frac{d}{d x} (sin (x) + \frac{8}{5} cot (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sin (x)) + \frac{d}{d x} (\frac{8}{5} cot (x))

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

\frac{d}{d x} (\frac{8}{5} cot (x)) = - \frac{8}{5} csc^{2} (x)

= cos (x) - \frac{8}{5} csc^{2} (x)

9 y^{^{''}} - y = x e^{\frac{1}{3} x}

\int_{0}^{x} e^{t} - 1 d t

y = 18 x, (9, 54)

\frac{\partial}{\partial x} (y ln (x y^{2} z^{3}))

\int (1)^{2} d x

What is the derivative of sin(x)+8/5 cot(x) ?
The derivative of sin(x)+8/5 cot(x) is cos(x)-8/5 csc^2(x)
What is the first derivative of sin(x)+8/5 cot(x) ?
The first derivative of sin(x)+8/5 cot(x) is cos(x)-8/5 csc^2(x)