What is the derivative of f(x)=sin(x)+2/3 cot(x) ?

The derivative of f(x)=sin(x)+2/3 cot(x) is cos(x)-2/3 csc^2(x)

What is the first derivative of f(x)=sin(x)+2/3 cot(x) ?

The first derivative of f(x)=sin(x)+2/3 cot(x) is cos(x)-2/3 csc^2(x)

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derivative of

f (x) = sin (x) + \frac{2}{3} cot (x)

cos (x) - \frac{2}{3} csc^{2} (x)

Solution steps

\frac{d}{d x} (sin (x) + \frac{2}{3} cot (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sin (x)) + \frac{d}{d x} (\frac{2}{3} cot (x))

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

\frac{d}{d x} (\frac{2}{3} cot (x)) = - \frac{2}{3} csc^{2} (x)

= cos (x) - \frac{2}{3} csc^{2} (x)

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

y^{^{''}} + 121 y^{^{'}} = cos (10 t)

f (x) = 5 x^{\frac{3}{2}}

\int 4 x^{3} - 2 x^{2} d x

\int 6 x \cdot e^{x^{2} - 2} d x

What is the derivative of f(x)=sin(x)+2/3 cot(x) ?
The derivative of f(x)=sin(x)+2/3 cot(x) is cos(x)-2/3 csc^2(x)
What is the first derivative of f(x)=sin(x)+2/3 cot(x) ?
The first derivative of f(x)=sin(x)+2/3 cot(x) is cos(x)-2/3 csc^2(x)