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Popular >

derivative of cot(6sqrt(-x))

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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