What is the derivative of x-3x^2 ?

The derivative of x-3x^2 is 1-6x

What is the first derivative of x-3x^2 ?

The first derivative of x-3x^2 is 1-6x

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\frac{d}{d x} (x - 3 x^{2})

1 - 6 x

Solution steps

\frac{d}{d x} (x - 3 x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d x}{d x} - \frac{d}{d x} (3 x^{2})

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

\frac{d}{d x} (3 x^{2}) = 6 x

= 1 - 6 x

4 x^{2} y^{2} d x + x^{3} y d y = 0

\int_{- 3}^{3} (9 - x^{2})^{2} d x

\int e^{- 2 x} (x^{2} + 5) d x

y^{^{''}} - 6 y^{^{'}} + 12 y = 0

20 x