What is the derivative of cot^2(7x) ?

The derivative of cot^2(7x) is -14csc^2(7x)cot(7x)

What is the first derivative of cot^2(7x) ?

The first derivative of cot^2(7x) is -14csc^2(7x)cot(7x)

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\frac{d}{d x} (cot^{2} (7 x))

- 14 csc^{2} (7 x) cot (7 x)

Solution steps

\frac{d}{d x} (cot^{2} (7 x))

Apply the chain rule:

2 cot (7 x) \frac{d}{d x} (cot (7 x))

= 2 cot (7 x) \frac{d}{d x} (cot (7 x))

\frac{d}{d x} (cot (7 x)) = - csc^{2} (7 x) \cdot 7

= 2 cot (7 x) (- csc^{2} (7 x) \cdot 7)

Simplify

= - 14 csc^{2} (7 x) cot (7 x)

\int \frac{k}{k - x} d x

\int e^{\frac{5 x}{6}} d x

\int 20 x e^{- 5 x} d x

(ln (1 + x))^{^{'}}

\int cos (x) + sec (x) tan (x) d x

What is the derivative of cot^2(7x) ?
The derivative of cot^2(7x) is -14csc^2(7x)cot(7x)
What is the first derivative of cot^2(7x) ?
The first derivative of cot^2(7x) is -14csc^2(7x)cot(7x)