What is the derivative of arccsc(-6x^2) ?

The derivative of arccsc(-6x^2) is 2/(xsqrt(36x^4-1))

What is the first derivative of arccsc(-6x^2) ?

The first derivative of arccsc(-6x^2) is 2/(xsqrt(36x^4-1))

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

\frac{2}{x 36 x ^{4} - 1}

Solution steps

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

Apply the chain rule:

- \frac{1}{( - 6 x ^{2} ) ^{2} ( - 6 x ^{2} ) ^{2} - 1} \frac{d}{d x} (- 6 x^{2})

= - \frac{1}{( - 6 x ^{2} ) ^{2} ( - 6 x ^{2} ) ^{2} - 1} \frac{d}{d x} (- 6 x^{2})

\frac{d}{d x} (- 6 x^{2}) = - 12 x

= - \frac{1}{( - 6 x ^{2} ) ^{2} ( - 6 x ^{2} ) ^{2} - 1} (- 12 x)

Simplify

- \frac{1}{( - 6 x ^{2} ) ^{2} ( - 6 x ^{2} ) ^{2} - 1} (- 12 x) : \frac{2}{x 36 x ^{4} - 1}

= \frac{2}{x 36 x ^{4} - 1}

x \to 0 lim (\frac{x}{x ^{2} + 3 x})

\int u^{5} d u

f (x) = \frac{x ( 2 - ln ( 2 ) x )}{2 ^{x}}

\frac{d}{d x} (\frac{x + 1}{4})

x \to 0 lim (\frac{sin ( 4 x )}{x} + 2)

What is the derivative of arccsc(-6x^2) ?
The derivative of arccsc(-6x^2) is 2/(xsqrt(36x^4-1))
What is the first derivative of arccsc(-6x^2) ?
The first derivative of arccsc(-6x^2) is 2/(xsqrt(36x^4-1))