What is the derivative of 1.5x-0.25x^2 ?

The derivative of 1.5x-0.25x^2 is 1.5-0.5x

What is the first derivative of 1.5x-0.25x^2 ?

The first derivative of 1.5x-0.25x^2 is 1.5-0.5x

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\frac{d}{d x} (1.5 x - 0.25 x^{2})

1.5 - 0.5 x

Solution steps

\frac{d}{d x} (1.5 x - 0.25 x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1.5 x) - \frac{d}{d x} (0.25 x^{2})

\frac{d}{d x} (1.5 x) = 1.5

\frac{d}{d x} (0.25 x^{2}) = 0.5 x

= 1.5 - 0.5 x

What is the derivative of 1.5x-0.25x^2 ?
The derivative of 1.5x-0.25x^2 is 1.5-0.5x
What is the first derivative of 1.5x-0.25x^2 ?
The first derivative of 1.5x-0.25x^2 is 1.5-0.5x