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

The first derivative of y=3x^2 is 6x

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derivative of y=3x^2

derivative of

y = 3 x^{2}

6 x

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

= 3 \cdot 2 x^{2 - 1}

Simplify

= 6 x

(3, - 8), (7, 3)

f (x) = 2 x

x = 2

f (x) = x + 1

f (x) = \frac{1}{x ^{2}}