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{( 5 x ^{2} - 12 )}{( x ^{2} - 6 x + 13 ) ^{2}} d x

n = 1 \sum \infty \frac{1}{1 + n}

x y^{^{'}} - 4 y = 0

\frac{d}{d y} (y^{2} + 1)

x \to 3 lim (\frac{2}{3 - 2})

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)