What is the derivative of sin(ax^2) ?

The derivative of sin(ax^2) is cos(ax^2)*2ax

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

The first derivative of sin(ax^2) is cos(ax^2)*2ax

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

cos (a x^{2}) \cdot 2 a x

Solution steps

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

Apply the chain rule:

cos (a x^{2}) \frac{d}{d x} (a x^{2})

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

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

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

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cot^{3} (4 x + 1)

What is the derivative of sin(ax^2) ?
The derivative of sin(ax^2) is cos(ax^2)*2ax
What is the first derivative of sin(ax^2) ?
The first derivative of sin(ax^2) is cos(ax^2)*2ax