What is the derivative of 72x^2 ?

The derivative of 72x^2 is 144x

What is the first derivative of 72x^2 ?

The first derivative of 72x^2 is 144x

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\frac{d}{d x} (72 x^{2})

144 x

Solution steps

\frac{d}{d x} (72 x^{2})

Take the constant out:

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

= 72 \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= 72 \cdot 2 x^{2 - 1}

Simplify

= 144 x

y^{^{''}} + 3 y^{^{'}} + 2 y = x

f (x) = 5 x^{2} - 8 x, at x = 1

x \to 2 lim (a x + b)

\frac{2 x ^{2}}{x ^{2} - 1}

\frac{d}{d x} (\frac{e ^{x}}{8 x ^{2}})