How do you find the derivative of $sin 3 x^{2}$ $sin3x^2$ ?

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How do you find the derivative of $sin 3 x^{2}$ $sin3x^2$ ?

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Answer 1 · 2016-06-10T08:21:19

With the chain rule.

Explanation:

I encourage who writes about mathematics to use always parenthesis to avoid confusion.

Is your expression $sin (3 x^{2})$ $sin(3x^2)$ or ${sin (3 x)}^{2}$ $sin(3x)^2$ ?
I assume it is the first. Then you calculate it applying the chain rule.

$\frac{d}{d x} sin (3 x^{2}) = cos (3 x^{2}) \frac{d}{d x} (3 x^{2})$ $d/dxsin(3x^2)=cos(3x^2)d/dx(3x^2)$

$= cos (3 x^{2}) 6 x$ $=cos(3x^2)6x$ .

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How do you find the derivative of $sin 3 x^{2}$ $sin3x^2$ ?

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