What is the derivative of cotan(3-2x) ?

The derivative of cotan(3-2x) is -2cosec^2(3-2x)

What is the first derivative of cotan(3-2x) ?

The first derivative of cotan(3-2x) is -2cosec^2(3-2x)

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\frac{d}{d x} (co tan (3 - 2 x))

- 2 co sec^{2} (3 - 2 x)

Solution steps

\frac{d}{d x} (co tan (3 - 2 x))

Treat

c, o

as a constant

Take the constant out:

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

= co \frac{d}{d x} (tan (3 - 2 x))

Apply the chain rule:

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

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

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

= co sec^{2} (3 - 2 x) (- 2)

Simplify

= - 2 co sec^{2} (3 - 2 x)

What is the derivative of cotan(3-2x) ?
The derivative of cotan(3-2x) is -2cosec^2(3-2x)
What is the first derivative of cotan(3-2x) ?
The first derivative of cotan(3-2x) is -2cosec^2(3-2x)