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Popular >

derivative of arccsc(-3x)

Solution

\frac{d}{d x} (arccsc (- 3 x))

Solution

\frac{1}{x 9 x ^{2} - 1}

Solution steps

\frac{d}{d x} (arccsc (- 3 x))

Apply the chain rule:

- \frac{1}{( - 3 x ) ^{2} ( - 3 x ) ^{2} - 1} \frac{d}{d x} (- 3 x)

= - \frac{1}{( - 3 x ) ^{2} ( - 3 x ) ^{2} - 1} \frac{d}{d x} (- 3 x)

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

= - \frac{1}{( - 3 x ) ^{2} ( - 3 x ) ^{2} - 1} (- 3)

Simplify

- \frac{1}{( - 3 x ) ^{2} ( - 3 x ) ^{2} - 1} (- 3) : \frac{1}{x 9 x ^{2} - 1}

= \frac{1}{x 9 x ^{2} - 1}

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Frequently Asked Questions (FAQ)

What is the derivative of arccsc(-3x) ?
The derivative of arccsc(-3x) is 1/(xsqrt(9x^2-1))
What is the first derivative of arccsc(-3x) ?
The first derivative of arccsc(-3x) is 1/(xsqrt(9x^2-1))