What is the derivative of cot^2(5x) ?

The derivative of cot^2(5x) is -10csc^2(5x)cot(5x)

What is the first derivative of cot^2(5x) ?

The first derivative of cot^2(5x) is -10csc^2(5x)cot(5x)

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\frac{d}{d x} (cot^{2} (5 x))

- 10 csc^{2} (5 x) cot (5 x)

Solution steps

\frac{d}{d x} (cot^{2} (5 x))

Apply the chain rule:

2 cot (5 x) \frac{d}{d x} (cot (5 x))

= 2 cot (5 x) \frac{d}{d x} (cot (5 x))

\frac{d}{d x} (cot (5 x)) = - csc^{2} (5 x) \cdot 5

= 2 cot (5 x) (- csc^{2} (5 x) \cdot 5)

Simplify

= - 10 csc^{2} (5 x) cot (5 x)

\frac{d}{d x} (cos (3 sin (x)))

\frac{d ^{2}}{d x ^{2}} y + 49 y = 0

\frac{d}{d x} ((3 x - 1)^{2})

x \to 7 lim (\frac{( x + 7 )}{x - 7})

n = 0 \sum \infty (- 2)^{3 - 2 n} \cdot 3

What is the derivative of cot^2(5x) ?
The derivative of cot^2(5x) is -10csc^2(5x)cot(5x)
What is the first derivative of cot^2(5x) ?
The first derivative of cot^2(5x) is -10csc^2(5x)cot(5x)