What is (\partial)/(\partial x)(5x^2) ?

The answer to (\partial)/(\partial x)(5x^2) is 10x

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(\partial)/(\partial x)(5x^2)

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

10 x

Solution steps

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

Take the constant out:

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

= 5 \frac{\partial}{\partial 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

\int \frac{x}{6 - x ^{2}} d x

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

\int \frac{x + 4}{x ^{2} + 5 x - 6} d x

\frac{d y}{d x} = 6 x y

\int_{2}^{x} (3 t^{2} - 1) d t

What is (\partial)/(\partial x)(5x^2) ?
The answer to (\partial)/(\partial x)(5x^2) is 10x