What is the first derivative of 5x^2 ?

The first derivative of 5x^2 is 10x

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derivative of 5x^2

derivative of

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

f (x) = 3 x

f (x) = 5^{x}

(- 23, - 2)

(2, 3)

f (x) = x^{2} + 15, at x = 7