What is the derivative of f(x)=-3cos(x) ?

The derivative of f(x)=-3cos(x) is 3sin(x)

What is the first derivative of f(x)=-3cos(x) ?

The first derivative of f(x)=-3cos(x) is 3sin(x)

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derivative of

f (x) = - 3 cos (x)

3 sin (x)

Solution steps

\frac{d}{d x} (- 3 cos (x))

Take the constant out:

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

= - 3 \frac{d}{d x} (cos (x))

Apply the common derivative:

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

= - 3 (- sin (x))

Simplify

= 3 sin (x)

What is the derivative of f(x)=-3cos(x) ?
The derivative of f(x)=-3cos(x) is 3sin(x)
What is the first derivative of f(x)=-3cos(x) ?
The first derivative of f(x)=-3cos(x) is 3sin(x)