What is the derivative of csc^4(2x) ?

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

What is the first derivative of csc^4(2x) ?

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

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Popular >

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

- 8 csc^{4} (2 x) cot (2 x)

Solution steps

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

Apply the chain rule:

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

= 4 (csc (2 x))^{3} \frac{d}{d x} (csc (2 x))

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

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

Simplify

4 csc^{3} (2 x) (- cot (2 x) csc (2 x) \cdot 2) : - 8 csc^{4} (2 x) cot (2 x)

= - 8 csc^{4} (2 x) cot (2 x)

\int \frac{y ^{n - 1}}{( a y ^{n} + b ) ^{m}} d y

f (x) = 10 x

(9, - 2), (- 3, 2)

\int (sin (x) + cos (x)) d x

\int_{4}^{7} x^{4} ln (2 x) d x

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