What is the derivative of (5x^2) ?

The derivative of (5x^2) is 50x

What is the first derivative of (5x^2) ?

The first derivative of (5x^2) is 50x

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

50 x

Solution steps

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

Simplify

(5 x)^{2} : 25 x^{2}

= \frac{d}{d x} (25 x^{2})

Take the constant out:

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

= 25 \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= 25 \cdot 2 x^{2 - 1}

Simplify

= 50 x

\frac{20}{s}

y^{^{'}} = 4 y^{2} sin (x)

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

θ \to 0 lim (\frac{tan ( θ )}{θ})

\frac{d}{d x} (x^{2} - 5 x + 6)