What is the derivative of acos(4x) ?

The derivative of acos(4x) is -4asin(4x)

What is the first derivative of acos(4x) ?

The first derivative of acos(4x) is -4asin(4x)

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\frac{d}{d x} (a cos (4 x))

- 4 a sin (4 x)

Solution steps

\frac{d}{d x} (a cos (4 x))

Take the constant out:

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

= a \frac{d}{d x} (cos (4 x))

Apply the chain rule:

- sin (4 x) \frac{d}{d x} (4 x)

= - sin (4 x) \frac{d}{d x} (4 x)

\frac{d}{d x} (4 x) = 4

= a (- sin (4 x) \cdot 4)

Simplify

= - 4 a sin (4 x)

\int 9 cos^{2} (x) sin (2 x) d x

\frac{d y}{d x} + 0.4 x y = 9 x

\frac{d}{d t} (cot (t))

y = 3 x^{3} - 6 x

\int w w - 3 d w

What is the derivative of acos(4x) ?
The derivative of acos(4x) is -4asin(4x)
What is the first derivative of acos(4x) ?
The first derivative of acos(4x) is -4asin(4x)