What is the derivative of y=4sin(5x-2) ?

The derivative of y=4sin(5x-2) is 20cos(5x-2)

What is the first derivative of y=4sin(5x-2) ?

The first derivative of y=4sin(5x-2) is 20cos(5x-2)

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derivative of

y = 4 sin (5 x - 2)

20 cos (5 x - 2)

Solution steps

\frac{d}{d x} (4 sin (5 x - 2))

Take the constant out:

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

= 4 \frac{d}{d x} (sin (5 x - 2))

Apply the chain rule:

cos (5 x - 2) \frac{d}{d x} (5 x - 2)

= cos (5 x - 2) \frac{d}{d x} (5 x - 2)

\frac{d}{d x} (5 x - 2) = 5

= 4 cos (5 x - 2) \cdot 5

Simplify

= 20 cos (5 x - 2)

(t^{2} + 1) \frac{d y}{d t} = y t - y

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\int \frac{1}{3 + 25 x ^{2}} d x

\int cot^{6} (x) d x

What is the derivative of y=4sin(5x-2) ?
The derivative of y=4sin(5x-2) is 20cos(5x-2)
What is the first derivative of y=4sin(5x-2) ?
The first derivative of y=4sin(5x-2) is 20cos(5x-2)