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

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

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

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

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derivative of

y = 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)

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