What is the derivative of y=4cot(3-2x) ?

The derivative of y=4cot(3-2x) is 8csc^2(3-2x)

What is the first derivative of y=4cot(3-2x) ?

The first derivative of y=4cot(3-2x) is 8csc^2(3-2x)

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derivative of

y = 4 cot (3 - 2 x)

8 csc^{2} (3 - 2 x)

Solution steps

\frac{d}{d x} (4 cot (3 - 2 x))

Take the constant out:

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

= 4 \frac{d}{d x} (cot (3 - 2 x))

Apply the chain rule:

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

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

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

= 4 (- csc^{2} (3 - 2 x) (- 2))

Simplify

= 8 csc^{2} (3 - 2 x)

\int_{0}^{2} (4 x - 2 x^{2}) d x

x \to 2 lim (\frac{x}{( x - 2 )})

\int \frac{20}{x 1 + 2 x} d x

\int \frac{x}{x ^{2} + 2 x + 5} d x

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

What is the derivative of y=4cot(3-2x) ?
The derivative of y=4cot(3-2x) is 8csc^2(3-2x)
What is the first derivative of y=4cot(3-2x) ?
The first derivative of y=4cot(3-2x) is 8csc^2(3-2x)