What is the derivative of-asin(ax) ?

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

What is the first derivative of-asin(ax) ?

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

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

- a^{2} cos (a x)

Solution steps

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

Take the constant out:

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

= - a \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 cos (a x) a

Simplify

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

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

\int \frac{2 x}{2 - x ^{2}} d x

\frac{d}{d x} (c + x + f (x) (x)^{2})

\int \frac{( 3 \cdot 2 ^{x} - 2 \cdot 3 ^{x} )}{2 ^{x}} d x

y = 3 (x^{2} - x + 1) (5 x - 3)

\frac{\partial}{\partial x} ((x + y^{2})^{3})

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