What is the derivative of-30sin(x) ?

The derivative of-30sin(x) is -30cos(x)

What is the first derivative of-30sin(x) ?

The first derivative of-30sin(x) is -30cos(x)

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\frac{d}{d x} (- 30 sin (x))

- 30 cos (x)

Solution steps

\frac{d}{d x} (- 30 sin (x))

Take the constant out:

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

= - 30 \frac{d}{d x} (sin (x))

Apply the common derivative:

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

= - 30 cos (x)

What is the derivative of-30sin(x) ?
The derivative of-30sin(x) is -30cos(x)
What is the first derivative of-30sin(x) ?
The first derivative of-30sin(x) is -30cos(x)