What is the derivative of cot^3(4x) ?

The derivative of cot^3(4x) is -12cot^2(4x)csc^2(4x)

What is the first derivative of cot^3(4x) ?

The first derivative of cot^3(4x) is -12cot^2(4x)csc^2(4x)

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\frac{d}{d x} (cot^{3} (4 x))

- 12 cot^{2} (4 x) csc^{2} (4 x)

Solution steps

\frac{d}{d x} (cot^{3} (4 x))

Apply the chain rule:

3 (cot (4 x))^{2} \frac{d}{d x} (cot (4 x))

= 3 (cot (4 x))^{2} \frac{d}{d x} (cot (4 x))

\frac{d}{d x} (cot (4 x)) = - csc^{2} (4 x) \cdot 4

= 3 (cot (4 x))^{2} (- csc^{2} (4 x) \cdot 4)

Simplify

= - 12 cot^{2} (4 x) csc^{2} (4 x)

x (49.7)

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

y^{^{''}} + 3 y^{^{'}} = 0, y (0) = 7, y^{^{'}} (0) = - 3

x \frac{d y}{d x} + (3 x + 1) y = e^{- 3 x}

\int \frac{1}{x ^{2} + 2 x + 65} d x

What is the derivative of cot^3(4x) ?
The derivative of cot^3(4x) is -12cot^2(4x)csc^2(4x)
What is the first derivative of cot^3(4x) ?
The first derivative of cot^3(4x) is -12cot^2(4x)csc^2(4x)