What is the first derivative of 18x^2 ?

The first derivative of 18x^2 is 36x

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derivative of 18x^2

\frac{d}{d x} (18 x^{2})

36 x

Solution steps

\frac{d}{d x} (18 x^{2})

Take the constant out:

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

= 18 \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= 18 \cdot 2 x^{2 - 1}

Simplify

= 36 x

\frac{d}{d x} (8 x^{2} + 2 x - 3)

\frac{d}{d x} (\frac{x ^{2}}{x ^{2} - 49})

\int_{1}^{4} x^{2} + \frac{1}{4 x ^{2}} d x

\int \frac{e ^{x}}{a + b e ^{x}} d x

(3 + x^{2}) y^{^{'}} - 2 x y = 0