What is the derivative of f(x)=(cot(x))^4 ?

The derivative of f(x)=(cot(x))^4 is -4cot^3(x)csc^2(x)

What is the first derivative of f(x)=(cot(x))^4 ?

The first derivative of f(x)=(cot(x))^4 is -4cot^3(x)csc^2(x)

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derivative of

f (x) = (cot (x))^{4}

- 4 cot^{3} (x) csc^{2} (x)

Solution steps

\frac{d}{d x} ((cot (x))^{4})

Apply the chain rule:

4 (cot (x))^{3} \frac{d}{d x} (cot (x))

= 4 (cot (x))^{3} \frac{d}{d x} (cot (x))

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

= 4 (cot (x))^{3} (- csc^{2} (x))

Simplify

= - 4 cot^{3} (x) csc^{2} (x)

g (u) = (\frac{u ^{3} - 1}{u ^{3} + 1})^{8}

\frac{\partial}{\partial v} (uv)

18 y^{^{'}} = y (y^{2} - 9)

x \to 1 lim (\frac{1}{( 1.5 - 1 ) ^{2}})

\frac{\partial}{\partial x} (tan (4 x y^{5}))

What is the derivative of f(x)=(cot(x))^4 ?
The derivative of f(x)=(cot(x))^4 is -4cot^3(x)csc^2(x)
What is the first derivative of f(x)=(cot(x))^4 ?
The first derivative of f(x)=(cot(x))^4 is -4cot^3(x)csc^2(x)