What is the derivative of y=5x^2 ?

The derivative of y=5x^2 is 10x

What is the first derivative of y=5x^2 ?

The first derivative of y=5x^2 is 10x

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derivative of

y = 5 x^{2}

10 x

Solution steps

\frac{d}{d x} (5 x^{2})

Take the constant out:

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

= 5 \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= 5 \cdot 2 x^{2 - 1}

Simplify

= 10 x

\frac{d}{d x} (\frac{4 e ^{x}}{x})

f (x) = x^{2 c o s (x)}

\frac{\partial}{\partial y} (4 x^{2 y})

\frac{d ^{2} y}{d x ^{2}} = x

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