What is the derivative of-a^2sin(ax) ?

The derivative of-a^2sin(ax) is -a^3cos(ax)

What is the first derivative of-a^2sin(ax) ?

The first derivative of-a^2sin(ax) is -a^3cos(ax)

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\frac{d}{d x} (- a^{2} sin (a x))

- a^{3} cos (a x)

Solution steps

\frac{d}{d x} (- a^{2} sin (a x))

Take the constant out:

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

= - a^{2} \frac{d}{d x} (sin (a x))

Apply the chain rule:

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

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

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

= - a^{2} cos (a x) a

Simplify

- a^{2} cos (a x) a : - a^{3} cos (a x)

= - a^{3} cos (a x)

\frac{d}{d t} (e^{6 t})

\int x (5 x^{2} + 9)^{8} d x

y = e^{x^{5}}

\int sec (10 w) tan (10 w) d w

x \to 0 lim (\frac{x}{x ^{2} - 2 x})

What is the derivative of-a^2sin(ax) ?
The derivative of-a^2sin(ax) is -a^3cos(ax)
What is the first derivative of-a^2sin(ax) ?
The first derivative of-a^2sin(ax) is -a^3cos(ax)