What is the first derivative of-9x^2 ?

The first derivative of-9x^2 is -18x

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derivative of-9x^2

derivative of

- 9 x^{2}

- 18 x

Solution steps

\frac{d}{d x} (- 9 x^{2})

Take the constant out:

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

= - 9 \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= - 9 \cdot 2 x^{2 - 1}

Simplify

= - 18 x

\frac{d}{d x} (arccos (cos (x)))

\frac{d y}{d x}, x y = x - 2 y

\frac{d y}{d x} = \frac{( x - 3 )}{y - 4}

\int \frac{289}{x ^{3} - 17 x ^{2}} d x

\int (1 - t) d t