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Popular >

derivative of-csc(x-sin(x))

Solution

\frac{d}{d x} (- csc (x) - sin (x))

Solution

cot^{2} (x) cos (x)

Solution steps

\frac{d}{d x} (- csc (x) - sin (x))

Apply the Sum/Difference Rule:

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

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

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

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

= - (- cot (x) csc (x)) - cos (x)

Simplify

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

= cot^{2} (x) cos (x)

Popular Examples

integral of 5sin^3(9x)

\int 5 sin^{3} (9 x) d x

(\partial)/(\partial y)(4xy-2e^{2x+y})

\frac{\partial}{\partial y} (4 x y - 2 e^{2 x + y})

limit as h approaches 0 of (-4)^2+2(-4)

h \to 0 lim ((- 4)^{2} + 2 (- 4))

integral of (x^2)/(sqrt(21+4x-x^2))

\int \frac{x ^{2}}{21 + 4 x - x ^{2}} d x

inverse oflaplace ((s+9))/((s^2+6s+34))inverse laplace

\frac{( s + 9 )}{( s ^{2} + 6 s + 34 )}

Frequently Asked Questions (FAQ)

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