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

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

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

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

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derivative of

y = sin (x)

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

(- 3, 9), (2, - 1)

\int ln (x + x^{2} + 1) d x

\int \frac{121 - x ^{2}}{x} d x

\frac{d}{d x} (\frac{1}{x \cdot x})

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