What is (d^2)/(dx^2)(cos(-1.5x)) ?

The answer to (d^2)/(dx^2)(cos(-1.5x)) is -2.25cos(1.5x)

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(d^2)/(dx^2)(cos(-1.5x))

\frac{d ^{2}}{d x ^{2}} (cos (- 1.5 x))

- 2.25 cos (1.5 x)

Solution steps

\frac{d ^{2}}{d x ^{2}} (cos (- 1.5 x))

Simplify

cos (- 1.5 x) : cos (1.5 x)

= \frac{d ^{2}}{d x ^{2}} (cos (1.5 x))

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

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

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

= - 2.25 cos (1.5 x)

What is (d^2)/(dx^2)(cos(-1.5x)) ?
The answer to (d^2)/(dx^2)(cos(-1.5x)) is -2.25cos(1.5x)