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Popular >

derivative of sin(x+8/7 cot(x))

Solution

\frac{d}{d x} (sin (x) + \frac{8}{7} cot (x))

Solution

cos (x) - \frac{8}{7} csc^{2} (x)

Solution steps

\frac{d}{d x} (sin (x) + \frac{8}{7} 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}{7} cot (x))

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

\frac{d}{d x} (\frac{8}{7} cot (x)) = - \frac{8}{7} csc^{2} (x)

= cos (x) - \frac{8}{7} csc^{2} (x)

Graph

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\int_{- 1}^{0} (2 x + 3)^{2} d x

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\int e^{\frac{1}{x}} \frac{1}{x ^{3}} d x

y^{''}-4y^'+3y=t^2

y^{^{''}} - 4 y^{^{'}} + 3 y = t^{2}

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laplacetransform e^{-0.75t}*cos(4t)laplace transform

e^{- 0.75 t} \cdot cos (4 t)

Frequently Asked Questions (FAQ)

What is the derivative of sin(x+8/7 cot(x)) ?
The derivative of sin(x+8/7 cot(x)) is cos(x)-8/7 csc^2(x)
What is the first derivative of sin(x+8/7 cot(x)) ?
The first derivative of sin(x+8/7 cot(x)) is cos(x)-8/7 csc^2(x)