What is the derivative of-15sin(5x) ?

The derivative of-15sin(5x) is -75cos(5x)

What is the first derivative of-15sin(5x) ?

The first derivative of-15sin(5x) is -75cos(5x)

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\frac{d}{d x} (- 15 sin (5 x))

- 75 cos (5 x)

Solution steps

\frac{d}{d x} (- 15 sin (5 x))

Take the constant out:

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

= - 15 \frac{d}{d x} (sin (5 x))

Apply the chain rule:

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

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

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

= - 15 cos (5 x) \cdot 5

Simplify

= - 75 cos (5 x)

\frac{d}{d x} (4 x^{3} - 168 x^{2} + 1728 x)

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\frac{d}{d x} (ln (7 x))

\frac{d}{d x} (2 ∣ x - 3 ∣ - 3 ∣ x - 2 ∣)

What is the derivative of-15sin(5x) ?
The derivative of-15sin(5x) is -75cos(5x)
What is the first derivative of-15sin(5x) ?
The first derivative of-15sin(5x) is -75cos(5x)