What is the derivative of sin(sqrt(x)) ?

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

What is the first derivative of sin(sqrt(x)) ?

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

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derivative of

sin (x)

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

cos (x) \frac{1}{2 x} : \frac{cos ( x )}{2 x}

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

(1, - 2), (4, 0)

x \to 6 + lim (\frac{1}{x - 6})

\int \frac{1}{( x + 4 ) ^{2} ( x - 2 )} d x

tan (x)

\int \frac{10}{x ^{2} 25 - x ^{2}} d x

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