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

The derivative of y=sin^2(x^2) is 4xsin(x^2)cos(x^2)

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

The first derivative of y=sin^2(x^2) is 4xsin(x^2)cos(x^2)

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derivative of

y = sin^{2} (x^{2})

4 x sin (x^{2}) cos (x^{2})

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 4 x sin (x^{2}) cos (x^{2})

\frac{\partial}{\partial x} (ln (4 x^{2} + y^{2} + 2))

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

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

\frac{d}{d x} (\frac{4}{sec ( x )})

\int_{- 1}^{5} (1 + 4 x) d x

What is the derivative of y=sin^2(x^2) ?
The derivative of y=sin^2(x^2) is 4xsin(x^2)cos(x^2)
What is the first derivative of y=sin^2(x^2) ?
The first derivative of y=sin^2(x^2) is 4xsin(x^2)cos(x^2)