What is the derivative of cos(sqrt(3x)) ?

The derivative of cos(sqrt(3x)) is -(sqrt(3)sin(sqrt(3)sqrt(x)))/(2sqrt(x))

What is the first derivative of cos(sqrt(3x)) ?

The first derivative of cos(sqrt(3x)) is -(sqrt(3)sin(sqrt(3)sqrt(x)))/(2sqrt(x))

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

- \frac{3 sin ( 3 x )}{2 x}

Solution steps

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

Simplify

cos (3 x) : cos (3 x)

= \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) = \frac{3}{2 x}

= - sin (3 x) \frac{3}{2 x}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{3 sin ( 3 x )}{2 x}

\int x + 2 y d y

\int sin (x) cos (x) e^{s i n (x)} d x

n = 0 \sum \infty \frac{5 n}{n ^{2} + 4}

f (x) = \frac{e ^{x}}{ln ( x )}

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

What is the derivative of cos(sqrt(3x)) ?
The derivative of cos(sqrt(3x)) is -(sqrt(3)sin(sqrt(3)sqrt(x)))/(2sqrt(x))
What is the first derivative of cos(sqrt(3x)) ?
The first derivative of cos(sqrt(3x)) is -(sqrt(3)sin(sqrt(3)sqrt(x)))/(2sqrt(x))