What is the derivative of 4csc(5x) ?

The derivative of 4csc(5x) is -20cot(5x)csc(5x)

What is the first derivative of 4csc(5x) ?

The first derivative of 4csc(5x) is -20cot(5x)csc(5x)

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derivative of

4 csc (5 x)

- 20 cot (5 x) csc (5 x)

Solution steps

\frac{d}{d x} (4 csc (5 x))

Take the constant out:

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

= 4 \frac{d}{d x} (csc (5 x))

Apply the chain rule:

- cot (5 x) csc (5 x) \frac{d}{d x} (5 x)

= - cot (5 x) csc (5 x) \frac{d}{d x} (5 x)

\frac{d}{d x} (5 x) = 5

= 4 (- cot (5 x) csc (5 x) \cdot 5)

Simplify

= - 20 cot (5 x) csc (5 x)

f (t) = 4 t^{2}

\frac{\partial}{\partial x} (A e^{i (k x - wt)})

\frac{\partial}{\partial x} (ln (sin^{2} (x)))

n = 0 \sum \infty 2^{n} \cdot (\frac{1}{4})^{l n (2^{n})}

\frac{d ^{2} y}{d x ^{2}} = 4 e^{- x}, y (0) = 3, y^{^{'}} (0) = 2

What is the derivative of 4csc(5x) ?
The derivative of 4csc(5x) is -20cot(5x)csc(5x)
What is the first derivative of 4csc(5x) ?
The first derivative of 4csc(5x) is -20cot(5x)csc(5x)