What is the derivative of-2.25cos(1.5x) ?

The derivative of-2.25cos(1.5x) is 3.375sin(1.5x)

What is the first derivative of-2.25cos(1.5x) ?

The first derivative of-2.25cos(1.5x) is 3.375sin(1.5x)

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derivative of

- 2.25 cos (1.5 x)

3.375 sin (1.5 x)

Solution steps

\frac{d}{d x} (- 2.25 cos (1.5 x))

Take the constant out:

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

= - 2.25 \frac{d}{d x} (cos (1.5 x))

Apply the chain rule:

- sin (1.5 x) \frac{d}{d x} (1.5 x)

= - sin (1.5 x) \frac{d}{d x} (1.5 x)

\frac{d}{d x} (1.5 x) = 1.5

= - 2.25 (- sin (1.5 x) \cdot 1.5)

Simplify

= 3.375 sin (1.5 x)

What is the derivative of-2.25cos(1.5x) ?
The derivative of-2.25cos(1.5x) is 3.375sin(1.5x)
What is the first derivative of-2.25cos(1.5x) ?
The first derivative of-2.25cos(1.5x) is 3.375sin(1.5x)