What is the first derivative of 6x^2 ?

The first derivative of 6x^2 is 12x

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derivative of 6x^2

derivative of

6 x^{2}

12 x

Solution steps

\frac{d}{d x} (6 x^{2})

Take the constant out:

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

= 6 \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= 6 \cdot 2 x^{2 - 1}

Simplify

= 12 x

\frac{d}{d x} ((x + \frac{1}{3 x})^{2})

y^{^{'}} = \frac{t ^{2}}{y}

\int \frac{x ^{3}}{x ^{2} + 49} d x

\int (\frac{1}{2} x) d x

t a y l or e^{- h} + e^{h}