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Popular >

derivative of csc(x+cot(x))

Solution

\frac{d}{d x} (csc (x) + cot (x))

Solution

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

Solution steps

\frac{d}{d x} (csc (x) + cot (x))

Apply the Sum/Difference Rule:

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

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

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

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

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

Popular Examples

derivative of (ln(x))/(5x^3)derivative of

\frac{ln ( x )}{5 x ^{3}}

(4x^3y^2-6x^2y-2x-3)dx+(2x^4y-2x^3)dy=0

(4 x^{3} y^{2} - 6 x^{2} y - 2 x - 3) d x + (2 x^{4} y - 2 x^{3}) d y = 0

laplacetransform e^{-t}sin(3t)laplace transform

e^{- t} sin (3 t)

((2y)/x+2x)+((2ln(x)-3)dy)/(dx)=0

(\frac{2 y}{x} + 2 x) + \frac{( 2 ln ( x ) - 3 ) d y}{d x} = 0

sum from n=0 to infinity of n^2(1/2)^n

n = 0 \sum \infty n^{2} (\frac{1}{2})^{n}

Frequently Asked Questions (FAQ)

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