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Popular >

derivative of sin(x)+4/3 cot(x)

Solution

derivative of

sin (x) + \frac{4}{3} cot (x)

Solution

cos (x) - \frac{4}{3} csc^{2} (x)

Solution steps

\frac{d}{d x} (sin (x) + \frac{4}{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{4}{3} cot (x))

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

\frac{d}{d x} (\frac{4}{3} cot (x)) = - \frac{4}{3} csc^{2} (x)

= cos (x) - \frac{4}{3} csc^{2} (x)

Popular Examples

integral of 1/(x^2-7x+12)

\int \frac{1}{x ^{2} - 7 x + 12} d x

xy^2(dy)/(dx)=y^3-3x^3,y(1)=5

x y^{2} \frac{d y}{d x} = y^{3} - 3 x^{3}, y (1) = 5

y^'=0.1*y-250000

y^{^{'}} = 0.1 \cdot y - 250000

derivative of f(x)=3cos^2(x)derivative of

f (x) = 3 cos^{2} (x)

integral of 5cos(pix-3)

\int 5 cos (π x - 3) d x

Frequently Asked Questions (FAQ)

What is the derivative of sin(x)+4/3 cot(x) ?
The derivative of sin(x)+4/3 cot(x) is cos(x)-4/3 csc^2(x)
What is the first derivative of sin(x)+4/3 cot(x) ?
The first derivative of sin(x)+4/3 cot(x) is cos(x)-4/3 csc^2(x)