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

4 (x^{3} - x)^{4}

\frac{d P}{d t} = 4 Pt, P (1) = 7

\int cos^{3} (6 x s i) n^{- 2} 6 x

e^{x}, 0

\int \frac{x - 1}{4 x ^{2} - 4 x + 3} d x