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Popular >

derivative of sin(x)+1/2 cot(x)

Solution

derivative of

sin (x) + \frac{1}{2} cot (x)

Solution

cos (x) - \frac{1}{2} csc^{2} (x)

Solution steps

\frac{d}{d x} (sin (x) + \frac{1}{2} cot (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sin (x)) + \frac{d}{d x} (\frac{1}{2} cot (x))

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

\frac{d}{d x} (\frac{1}{2} cot (x)) = - \frac{1}{2} csc^{2} (x)

= cos (x) - \frac{1}{2} csc^{2} (x)

Popular Examples

derivative of y=(ln(x))/(1+ln(x))derivative of

y = \frac{ln ( x )}{1 + ln ( x )}

derivative of (x^3+5(5x^2-5))

\frac{d}{d x} ((x^{3} + 5) (5 x^{2} - 5))

xy^2(dy)/(dx)=y^3-x^3,y(1)=4

x y^{2} \frac{d y}{d x} = y^{3} - x^{3}, y (1) = 4

derivative of cos(3x^2)derivative of

cos (3 x^{2})

(dy)/(dx)=-9y,y(0)=-5

\frac{d y}{d x} = - 9 y, y (0) = - 5

Frequently Asked Questions (FAQ)

What is the derivative of sin(x)+1/2 cot(x) ?
The derivative of sin(x)+1/2 cot(x) is cos(x)-1/2 csc^2(x)
What is the first derivative of sin(x)+1/2 cot(x) ?
The first derivative of sin(x)+1/2 cot(x) is cos(x)-1/2 csc^2(x)