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Popular >

derivative of sin(x+5/6 cot(x))

Solution

\frac{d}{d x} (sin (x) + \frac{5}{6} cot (x))

Solution

cos (x) - \frac{5}{6} csc^{2} (x)

Solution steps

\frac{d}{d x} (sin (x) + \frac{5}{6} cot (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sin (x)) + \frac{d}{d x} (\frac{5}{6} cot (x))

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

\frac{d}{d x} (\frac{5}{6} cot (x)) = - \frac{5}{6} csc^{2} (x)

= cos (x) - \frac{5}{6} csc^{2} (x)

Popular Examples

integral from-8 to 0 of (4-9x)^{-0.5}

\int_{- 8}^{0} (4 - 9 x)^{- 0.5} d x

area (x-1)^3,(x-1)area

(x - 1)^{3}, (x - 1)

(\partial)/(\partial x)(1/2 ln(x^2d))

\frac{\partial}{\partial x} (\frac{1}{2} ln (x^{2} d))

derivative of sqrt(csc(x))

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

integral of 15cos(15x)

\int 15 cos (15 x) d x

Frequently Asked Questions (FAQ)

What is the derivative of sin(x+5/6 cot(x)) ?
The derivative of sin(x+5/6 cot(x)) is cos(x)-5/6 csc^2(x)
What is the first derivative of sin(x+5/6 cot(x)) ?
The first derivative of sin(x+5/6 cot(x)) is cos(x)-5/6 csc^2(x)