What is the derivative of 2csc(2x) ?

The derivative of 2csc(2x) is -4cot(2x)csc(2x)

What is the first derivative of 2csc(2x) ?

The first derivative of 2csc(2x) is -4cot(2x)csc(2x)

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\frac{d}{d x} (2 csc (2 x))

- 4 cot (2 x) csc (2 x)

Solution steps

\frac{d}{d x} (2 csc (2 x))

Take the constant out:

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

= 2 \frac{d}{d x} (csc (2 x))

Apply the chain rule:

- cot (2 x) csc (2 x) \frac{d}{d x} (2 x)

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

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

= 2 (- cot (2 x) csc (2 x) \cdot 2)

Simplify

= - 4 cot (2 x) csc (2 x)

l a pl a ce t r an s f or m 8 t^{2}

y^{^{'}} + 2 y = 60, y (1) = 80

d er i v a t i v e f (x) = 3 sin (x) + cos (x)

\int (3 x^{2} + 2 x) ln (x) d x

\frac{d}{d x} ((1 + sin (3 x))^{4})

What is the derivative of 2csc(2x) ?
The derivative of 2csc(2x) is -4cot(2x)csc(2x)
What is the first derivative of 2csc(2x) ?
The first derivative of 2csc(2x) is -4cot(2x)csc(2x)