What is the derivative of 1/(tan^2(x)) ?

The derivative of 1/(tan^2(x)) is -2csc^2(x)cot(x)

What is the first derivative of 1/(tan^2(x)) ?

The first derivative of 1/(tan^2(x)) is -2csc^2(x)cot(x)

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\frac{d}{d x} (\frac{1}{tan ^{2} ( x )})

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

Solution steps

\frac{d}{d x} (\frac{1}{tan ^{2} ( x )})

Simplify

\frac{1}{tan ^{2} ( x )} : cot^{2} (x)

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

Apply the chain rule:

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

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

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

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

Simplify

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

y^{^{''}} - 8 y^{^{'}} + 15 = 0

f (x) = tan (2 x - x^{3})

\frac{d}{d x} (cos (x) - 3 tan (x))

\int (x^{3} - 1) d x

\frac{d}{d x} (\frac{80}{x ^{2}})

What is the derivative of 1/(tan^2(x)) ?
The derivative of 1/(tan^2(x)) is -2csc^2(x)cot(x)
What is the first derivative of 1/(tan^2(x)) ?
The first derivative of 1/(tan^2(x)) is -2csc^2(x)cot(x)