What is the derivative of cot(6sqrt(-u)) ?

The derivative of cot(6sqrt(-u)) is (3csc^2(6sqrt(-u)))/(sqrt(-u))

What is the first derivative of cot(6sqrt(-u)) ?

The first derivative of cot(6sqrt(-u)) is (3csc^2(6sqrt(-u)))/(sqrt(-u))

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derivative of

cot (6 - u)

\frac{3 csc ^{2} ( 6 - u )}{- u}

Solution steps

\frac{d}{d u} (cot (6 - u))

Apply the chain rule:

- csc^{2} (6 - u) \frac{d}{d u} (6 - u)

= - csc^{2} (6 - u) \frac{d}{d u} (6 - u)

\frac{d}{d u} (6 - u) = - \frac{3}{- u}

= - csc^{2} (6 - u) (- \frac{3}{- u})

Simplify

- csc^{2} (6 - u) (- \frac{3}{- u}) : \frac{3 csc ^{2} ( 6 - u )}{- u}

= \frac{3 csc ^{2} ( 6 - u )}{- u}

What is the derivative of cot(6sqrt(-u)) ?
The derivative of cot(6sqrt(-u)) is (3csc^2(6sqrt(-u)))/(sqrt(-u))
What is the first derivative of cot(6sqrt(-u)) ?
The first derivative of cot(6sqrt(-u)) is (3csc^2(6sqrt(-u)))/(sqrt(-u))