What is the derivative of 250000+15000x-0.3x^3 ?

The derivative of 250000+15000x-0.3x^3 is -0.9x^2+15000

What is the first derivative of 250000+15000x-0.3x^3 ?

The first derivative of 250000+15000x-0.3x^3 is -0.9x^2+15000

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derivative of

250000 + 15000 x - 0.3 x^{3}

- 0.9 x^{2} + 15000

Solution steps

\frac{d}{d x} (250000 + 15000 x - 0.3 x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (250000) + \frac{d}{d x} (15000 x) - \frac{d}{d x} (0.3 x^{3})

\frac{d}{d x} (250000) = 0

\frac{d}{d x} (15000 x) = 15000

\frac{d}{d x} (0.3 x^{3}) = 0.9 x^{2}

= 0 + 15000 - 0.9 x^{2}

Simplify

= - 0.9 x^{2} + 15000

What is the derivative of 250000+15000x-0.3x^3 ?
The derivative of 250000+15000x-0.3x^3 is -0.9x^2+15000
What is the first derivative of 250000+15000x-0.3x^3 ?
The first derivative of 250000+15000x-0.3x^3 is -0.9x^2+15000