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

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

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

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

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

- 8 x

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (2) = 0

\frac{d}{d x} (4 x^{2}) = 8 x

= 0 - 8 x

Simplify

= - 8 x

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

\frac{d y}{d x} = \frac{x - y}{x + 2 y}, y (0) = 1

\int_{0}^{2} \frac{1}{( x + 1 ) ^{4}} d x

f (x) = (arccot (x))^{5}

\int (x + 1) (x - 2) d x