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

The derivative of x-2x^2 is 1-4x

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

The first derivative of x-2x^2 is 1-4x

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

1 - 4 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

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

= 1 - 4 x

\int x^{2} \cdot cos (3 x) d x

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

f (x) = x^{2} + \frac{2}{x}

\int e^{x^{\frac{1}{3}}} d x

f (x) = 3 x^{4} - 4 x^{2} + 1, at x = - 1