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Popular >

derivative of sin(x)+4/9 cot(x)

Solution

derivative of

sin (x) + \frac{4}{9} cot (x)

Solution

cos (x) - \frac{4}{9} csc^{2} (x)

Solution steps

\frac{d}{d x} (sin (x) + \frac{4}{9} cot (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sin (x)) + \frac{d}{d x} (\frac{4}{9} cot (x))

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

\frac{d}{d x} (\frac{4}{9} cot (x)) = - \frac{4}{9} csc^{2} (x)

= cos (x) - \frac{4}{9} csc^{2} (x)

Popular Examples

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\int_{1}^{t} \frac{17}{x ^{3}} d x

area 3-1/2 x,3<= x<= 15 area

3 - \frac{1}{2} x, 3 \leq x \leq 15

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

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e^{x} + e^{- x}

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\int \frac{3}{x ^{2} x ^{2} + 25} d x

Frequently Asked Questions (FAQ)

What is the derivative of sin(x)+4/9 cot(x) ?
The derivative of sin(x)+4/9 cot(x) is cos(x)-4/9 csc^2(x)
What is the first derivative of sin(x)+4/9 cot(x) ?
The first derivative of sin(x)+4/9 cot(x) is cos(x)-4/9 csc^2(x)