What is the derivative of f(x)=csc^7(2x) ?

The derivative of f(x)=csc^7(2x) is -14csc^7(2x)cot(2x)

What is the first derivative of f(x)=csc^7(2x) ?

The first derivative of f(x)=csc^7(2x) is -14csc^7(2x)cot(2x)

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derivative of

f (x) = csc^{7} (2 x)

- 14 csc^{7} (2 x) cot (2 x)

Solution steps

\frac{d}{d x} (csc^{7} (2 x))

Apply the chain rule:

7 (csc (2 x))^{6} \frac{d}{d x} (csc (2 x))

= 7 (csc (2 x))^{6} \frac{d}{d x} (csc (2 x))

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

= 7 (csc (2 x))^{6} (- cot (2 x) csc (2 x) \cdot 2)

Simplify

7 csc^{6} (2 x) (- cot (2 x) csc (2 x) \cdot 2) : - 14 csc^{7} (2 x) cot (2 x)

= - 14 csc^{7} (2 x) cot (2 x)

y^{^{'}} + 2 y = e^{(4 t)}

\int (x^{2} - x) d x

\frac{d}{d x} (- 1.8 x^{2} + 14.4 x)

\frac{\partial}{\partial x} (- 4 (x + y^{6}))

(2 y + 1)^{3} - 24 x = - 3, (- 1, - 2)

What is the derivative of f(x)=csc^7(2x) ?
The derivative of f(x)=csc^7(2x) is -14csc^7(2x)cot(2x)
What is the first derivative of f(x)=csc^7(2x) ?
The first derivative of f(x)=csc^7(2x) is -14csc^7(2x)cot(2x)