What is the derivative of y=cos(sqrt(x)) ?

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

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

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

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derivative of

y = cos (x)

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\frac{d}{d t} (- 3 t)

f (x) = \frac{x}{5}

\frac{d}{d x} \frac{1 - sin ^{2} ( x )}{x ^{2}}

\frac{d}{d x} (x^{3} - 3 x^{2} - 9 x + 1)

(- 3.2) (6.2)

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