What is the derivative of cos(sqrt(2x)) ?

The derivative of cos(sqrt(2x)) is -(sin(sqrt(2)sqrt(x)))/(sqrt(2)\sqrt{x)}

What is the first derivative of cos(sqrt(2x)) ?

The first derivative of cos(sqrt(2x)) is -(sin(sqrt(2)sqrt(x)))/(sqrt(2)\sqrt{x)}

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derivative of

cos (2 x)

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

Solution steps

\frac{d}{d x} (cos (2 x))

Simplify

cos (2 x) : cos (2 x)

= \frac{d}{d x} (cos (2 x))

Apply the chain rule:

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

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

\frac{d}{d x} (2 x) = \frac{1}{2 x}

= - sin (2 x) \frac{1}{2 x}

Simplify

- sin (2 x) \frac{1}{2 x} : - \frac{sin ( 2 x )}{2 x}

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

y^{^{'}} = \frac{y}{x} - 1

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

\int (sec^{2} (t)) d t

f (x) = sin (tan (5 x))

\int 2 2 x + 7 d x

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