What is the derivative of acos(ax) ?

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

What is the first derivative of acos(ax) ?

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

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

- a^{2} sin (a x)

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= a (- sin (a x) a)

Simplify

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

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

\int \frac{x ^{3} + 4}{x ^{2} + 4} d x

\frac{\partial}{\partial x} (cos (x - y) + (x + y))

y = x, y = 2 x 25 - x^{2}

\int_{- 2}^{2} - 2 x^{2} + 8 d x

f (x) = \frac{- 2}{x ^{2}}

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