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Popular >

derivative of-2csc(x+4cot(x))

Solution

\frac{d}{d x} (- 2 csc (x) + 4 cot (x))

Solution

2 cot (x) csc (x) - 4 csc^{2} (x)

Solution steps

\frac{d}{d x} (- 2 csc (x) + 4 cot (x))

Apply the Sum/Difference Rule:

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

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

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

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

= - (- 2 cot (x) csc (x)) - 4 csc^{2} (x)

Simplify

= 2 cot (x) csc (x) - 4 csc^{2} (x)

Popular Examples

integral of (x^2+2x)^2

\int (x^{2} + 2 x)^{2} d x

\frac{d P}{d t} = k \cdot P

(xy-1)dx+(x^2-xy)dy=0

(x y - 1) d x + (x^{2} - x y) d y = 0

(dy)/(dx)=y(10-y)

\frac{d y}{d x} = y (10 - y)

derivative of 8sin(x-8xcos(x))

\frac{d}{d x} (8 sin (x) - 8 x cos (x))

Frequently Asked Questions (FAQ)

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