What is the first derivative of 9x^2 ?

The first derivative of 9x^2 is 18x

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derivative of 9x^2

derivative of

9 x^{2}

18 x

Solution steps

\frac{d}{d x} (9 x^{2})

Take the constant out:

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

= 9 \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= 9 \cdot 2 x^{2 - 1}

Simplify

= 18 x

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

a x^{2} + b x + c

\frac{d y}{d x} + \frac{x}{y} = 0

x y^{^{'}} + 2 y = \frac{3 e ^{- 3 x}}{x}

\frac{\partial}{\partial x} (y^{2} - x^{2} - 10)