What is the derivative of y=sin(3)x^2 ?

The derivative of y=sin(3)x^2 is 2sin(3)x

What is the first derivative of y=sin(3)x^2 ?

The first derivative of y=sin(3)x^2 is 2sin(3)x

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derivative of

y = sin (3) x^{2}

2 sin (3) x

Solution steps

\frac{d}{d x} (sin (3) x^{2})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= sin (3) \frac{d}{d x} (x^{2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= sin (3) \cdot 2 x^{2 - 1}

Simplify

= 2 sin (3) x

What is the derivative of y=sin(3)x^2 ?
The derivative of y=sin(3)x^2 is 2sin(3)x
What is the first derivative of y=sin(3)x^2 ?
The first derivative of y=sin(3)x^2 is 2sin(3)x