What is the first derivative of-4x^2 ?

The first derivative of-4x^2 is -8x

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derivative of-4x^2

derivative of

- 4 x^{2}

- 8 x

Solution steps

\frac{d}{d x} (- 4 x^{2})

Take the constant out:

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

= - 4 \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= - 4 \cdot 2 x^{2 - 1}

Simplify

= - 8 x

y^{^{'}} = \frac{3 y - 4 x}{2 y - 3 x}

\int x y d y

y = 3 x, x + y = 4, y = 1, y = 0

\int \frac{3}{x ^{2} + 3} d x

\frac{d y}{d x} = x^{4} - 1