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Popular >

derivative of-csc^2(x-cos(2x)*2)

Solution

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

Solution

2 csc^{2} (x) cot (x) + 4 sin (2 x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (cos (2 x) \cdot 2) = - 4 sin (2 x)

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

Simplify

= 2 csc^{2} (x) cot (x) + 4 sin (2 x)

Popular Examples

(y^2+1)dx=y(sec^2(x))dy

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

derivative of (1-x(1+x^2)^{-1})

\frac{d}{d x} ((1 - x) (1 + x^{2})^{- 1})

integral of (9+sqrt(x)+x)/x

\int \frac{9 + x + x}{x} d x

sum from n=1 to infinity of arctan(19n)

n = 1 \sum \infty arctan (19 n)

integral of-4x^2sin(pix)

\int - 4 x^{2} sin (π x) d x

Frequently Asked Questions (FAQ)

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