What is the derivative of f(x)=3arccsc(x) ?

The derivative of f(x)=3arccsc(x) is -3/(sqrt(x^2)\sqrt{x^2-1)}

What is the first derivative of f(x)=3arccsc(x) ?

The first derivative of f(x)=3arccsc(x) is -3/(sqrt(x^2)\sqrt{x^2-1)}

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derivative of

f (x) = 3 arccsc (x)

- \frac{3}{x ^{2} x ^{2} - 1}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the common derivative:

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

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

Simplify

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

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

\int x^{2} sech^{2} (x^{3}) d x

\frac{d}{d x} (x^{3} - 8)

y^{^{'}} + 2 y = 25 sin (x) + 40 cos (x), y (0) = 1

y = x, (9, 3)

n = 6 \sum \infty \frac{5 ^{n}}{1 2 ^{n}}

What is the derivative of f(x)=3arccsc(x) ?
The derivative of f(x)=3arccsc(x) is -3/(sqrt(x^2)\sqrt{x^2-1)}
What is the first derivative of f(x)=3arccsc(x) ?
The first derivative of f(x)=3arccsc(x) is -3/(sqrt(x^2)\sqrt{x^2-1)}