What is the derivative of sqrt(sin(x^2)) ?

The derivative of sqrt(sin(x^2)) is 1/(2sqrt(sin(x^2)))cos(x^2)*2x

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

The first derivative of sqrt(sin(x^2)) is 1/(2sqrt(sin(x^2)))cos(x^2)*2x

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derivative of

sin (x^{2})

\frac{1}{2 sin ( x ^{2} )} cos (x^{2}) \cdot 2 x

Solution steps

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

Apply the chain rule:

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

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

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

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

\int e^{2 t} t d t

f (x) = 3 x^{2} - 5 x - 1 + e^{- x}, at x = 0

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

\int \frac{40}{16 - x ^{2}} d x

\frac{d ^{2}}{d x ^{2}} (\frac{8}{9 x ^{5}})

What is the derivative of sqrt(sin(x^2)) ?
The derivative of sqrt(sin(x^2)) is 1/(2sqrt(sin(x^2)))cos(x^2)*2x
What is the first derivative of sqrt(sin(x^2)) ?
The first derivative of sqrt(sin(x^2)) is 1/(2sqrt(sin(x^2)))cos(x^2)*2x