What is the derivative of cot(tan(x)) ?

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

What is the first derivative of cot(tan(x)) ?

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

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

- csc^{2} (tan (x)) sec^{2} (x)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (tan (x)) = sec^{2} (x)

= - csc^{2} (tan (x)) sec^{2} (x)

y^{^{'}} = (1 - 2 x) y^{2}, y (0) = - \frac{1}{30}

\int_{0}^{8} k (8 - x)

f (x) = - 6 x^{2} + 7 x

f (x) = - 1 - 4 e^{- \frac{x}{3}}, at x = 8

x y^{^{'}} - y = 2 x^{2} - x - 1

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