What is the derivative of cot^6(x) ?

The derivative of cot^6(x) is -6cot^5(x)csc^2(x)

What is the first derivative of cot^6(x) ?

The first derivative of cot^6(x) is -6cot^5(x)csc^2(x)

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derivative of

cot^{6} (x)

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

Solution steps

\frac{d}{d x} (cot^{6} (x))

Apply the chain rule:

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

= 6 (cot (x))^{5} \frac{d}{d x} (cot (x))

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

= 6 (cot (x))^{5} (- csc^{2} (x))

Simplify

= - 6 cot^{5} (x) csc^{2} (x)

y^{^{''}} + 25 y = t sin (2 t)

\frac{d}{d x} (0.5 e^{- 0.5 (x - 1)})

81 y^{^{''}} + 144 y^{^{'}} + 64 y = 0

\frac{\partial}{\partial x} (\frac{1}{2 cos ^{2} ( x )})

x \to \infty lim (arcsec (x))

What is the derivative of cot^6(x) ?
The derivative of cot^6(x) is -6cot^5(x)csc^2(x)
What is the first derivative of cot^6(x) ?
The first derivative of cot^6(x) is -6cot^5(x)csc^2(x)