What is the derivative of-3cot(1-x^2) ?

The derivative of-3cot(1-x^2) is -6xcsc^2(1-x^2)

What is the first derivative of-3cot(1-x^2) ?

The first derivative of-3cot(1-x^2) is -6xcsc^2(1-x^2)

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

- 6 x csc^{2} (1 - x^{2})

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= - 3 (- csc^{2} (1 - x^{2}) (- 2 x))

Simplify

= - 6 x csc^{2} (1 - x^{2})

x \to 0 lim (3 - \frac{1}{x})

f (x) = π^{x}

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

\int 9 x - 5 d x

x \to - 1 lim (6 x + 5)

What is the derivative of-3cot(1-x^2) ?
The derivative of-3cot(1-x^2) is -6xcsc^2(1-x^2)
What is the first derivative of-3cot(1-x^2) ?
The first derivative of-3cot(1-x^2) is -6xcsc^2(1-x^2)