What is the derivative of cot(9(1-2x^2)) ?

The derivative of cot(9(1-2x^2)) is -4cot(9)x

What is the first derivative of cot(9(1-2x^2)) ?

The first derivative of cot(9(1-2x^2)) is -4cot(9)x

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\frac{d}{d x} (cot (9) (1 - 2 x^{2}))

- 4 cot (9) x

Solution steps

\frac{d}{d x} (cot (9) (1 - 2 x^{2}))

Take the constant out:

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

= cot (9) \frac{d}{d x} (1 - 2 x^{2})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= cot (9) (\frac{d}{d x} (1) - \frac{d}{d x} (2 x^{2}))

\frac{d}{d x} (1) = 0

\frac{d}{d x} (2 x^{2}) = 4 x

= cot (9) (0 - 4 x)

Simplify

= - 4 cot (9) x

What is the derivative of cot(9(1-2x^2)) ?
The derivative of cot(9(1-2x^2)) is -4cot(9)x
What is the first derivative of cot(9(1-2x^2)) ?
The first derivative of cot(9(1-2x^2)) is -4cot(9)x