What is the derivative of-6cos(t) ?

The derivative of-6cos(t) is 6sin(t)

What is the first derivative of-6cos(t) ?

The first derivative of-6cos(t) is 6sin(t)

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derivative of

- 6 cos (t)

6 sin (t)

Solution steps

\frac{d}{d t} (- 6 cos (t))

Take the constant out:

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

= - 6 \frac{d}{d t} (cos (t))

Apply the common derivative:

\frac{d}{d t} (cos (t)) = - sin (t)

= - 6 (- sin (t))

Simplify

= 6 sin (t)

What is the derivative of-6cos(t) ?
The derivative of-6cos(t) is 6sin(t)
What is the first derivative of-6cos(t) ?
The first derivative of-6cos(t) is 6sin(t)