What is the derivative of-1.5sin(1.5x) ?

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

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

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

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derivative of

- 1.5 sin (1.5 x)

- 2.25 cos (1.5 x)

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= - 1.5 cos (1.5 x) \cdot 1.5

Simplify

= - 2.25 cos (1.5 x)

\int (9 x - 1) e^{- x} d x

\int (x + 6)^{2} d x

\int sin (x) \cdot sin (2 \cdot x) d x

\frac{x - x}{x ^{\frac{1}{4}}}

\frac{5}{2} x^{\frac{5}{2}}

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