What is the first derivative of-x^2 ?

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

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derivative of-x^2

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

- 2 x

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

= - 2 x^{2 - 1}

Simplify

= - 2 x

\frac{d}{d x} (sec^{2} (x) tan (x))

\frac{\partial}{\partial x} (ln (x + 7 y + 2 z))

\int_{6}^{8} \frac{72}{( x - 6 ) ^{3}} d x

x \to 3 lim (f (x))

\frac{d y}{d x} = \frac{x ^{2} y ^{2}}{1 + 2}