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Popular >

derivative of csc(x^3+2x-tan(x))

Solution

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

Solution

- cot (x^{3} + 2 x) csc (x^{3} + 2 x) (3 x^{2} + 2) - sec^{2} (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (csc (x^{3} + 2 x)) - \frac{d}{d x} (tan (x))

\frac{d}{d x} (csc (x^{3} + 2 x)) = - cot (x^{3} + 2 x) csc (x^{3} + 2 x) (3 x^{2} + 2)

\frac{d}{d x} (tan (x)) = sec^{2} (x)

= - cot (x^{3} + 2 x) csc (x^{3} + 2 x) (3 x^{2} + 2) - sec^{2} (x)

Graph

Popular Examples

(\partial)/(\partial z)(-y^2sin(z))

\frac{\partial}{\partial z} (- y^{2} sin (z))

limit as x approaches-1+of (x+2x^3)^4

x \to - 1 + lim ((x + 2 x^{3})^{4})

limit as x approaches 0 of sqrt(x^2+9)-3

x \to 0 lim (x^{2} + 9 - 3)

integral of (y^{3/2})^2

\int (y^{\frac{3}{2}})^{2} d y

y^{''}+9y=18-18e^{-t},y(0)=0,y^'(0)=0

y^{^{''}} + 9 y = 18 - 18 e^{- t}, y (0) = 0, y^{^{'}} (0) = 0

Frequently Asked Questions (FAQ)

What is the derivative of csc(x^3+2x-tan(x)) ?
The derivative of csc(x^3+2x-tan(x)) is -cot(x^3+2x)csc(x^3+2x)(3x^2+2)-sec^2(x)
What is the first derivative of csc(x^3+2x-tan(x)) ?
The first derivative of csc(x^3+2x-tan(x)) is -cot(x^3+2x)csc(x^3+2x)(3x^2+2)-sec^2(x)