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Popular >

derivative of y=csc^3(2x)

Solution

derivative of

y = csc^{3} (2 x)

Solution

- 6 csc^{3} (2 x) cot (2 x)

Solution steps

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

Apply the chain rule:

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

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

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

= 3 (csc (2 x))^{2} (- cot (2 x) csc (2 x) \cdot 2)

Simplify

3 csc^{2} (2 x) (- cot (2 x) csc (2 x) \cdot 2) : - 6 csc^{3} (2 x) cot (2 x)

= - 6 csc^{3} (2 x) cot (2 x)

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\frac{d}{d x} ((a x + b) e^{- x})

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\int [x (x^{2} - 1) + csc^{2} (x)] d x

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inverse oflaplace (s+5)/(s^2+5s+9)inverse laplace

\frac{s + 5}{s ^{2} + 5 s + 9}

y^{''}+4y=t^2+3e^t,y(0)=0,y^'(0)=2

y^{^{''}} + 4 y = t^{2} + 3 e^{t}, y (0) = 0, y^{^{'}} (0) = 2

Frequently Asked Questions (FAQ)

What is the derivative of y=csc^3(2x) ?
The derivative of y=csc^3(2x) is -6csc^3(2x)cot(2x)
What is the first derivative of y=csc^3(2x) ?
The first derivative of y=csc^3(2x) is -6csc^3(2x)cot(2x)