What is the derivative of acos(3x) ?

The derivative of acos(3x) is -3asin(3x)

What is the first derivative of acos(3x) ?

The first derivative of acos(3x) is -3asin(3x)

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\frac{d}{d x} (a cos (3 x))

- 3 a sin (3 x)

Solution steps

\frac{d}{d x} (a cos (3 x))

Take the constant out:

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

= a \frac{d}{d x} (cos (3 x))

Apply the chain rule:

- sin (3 x) \frac{d}{d x} (3 x)

= - sin (3 x) \frac{d}{d x} (3 x)

\frac{d}{d x} (3 x) = 3

= a (- sin (3 x) \cdot 3)

Simplify

= - 3 a sin (3 x)

(3 x^{2})^{2 x}

\int \frac{1}{4} x^{- \frac{3}{4}} d x

\int (e^{x} - e^{- x}) d x

\frac{\partial}{\partial u} (u cos (v))

\int (\frac{1 + cos ( 3 t )}{2}) d t

What is the derivative of acos(3x) ?
The derivative of acos(3x) is -3asin(3x)
What is the first derivative of acos(3x) ?
The first derivative of acos(3x) is -3asin(3x)