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Popular >

derivative of-0.6t^3+7.2t^2+61

Solution

derivative of

- 0.6 t^{3} + 7.2 t^{2} + 61

Solution

- 1.8 t^{2} + 14.4 t

Solution steps

\frac{d}{d t} (- 0.6 t^{3} + 7.2 t^{2} + 61)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d t} (0.6 t^{3}) + \frac{d}{d t} (7.2 t^{2}) + \frac{d}{d t} (61)

\frac{d}{d t} (0.6 t^{3}) = 1.8 t^{2}

\frac{d}{d t} (7.2 t^{2}) = 14.4 t

\frac{d}{d t} (61) = 0

= - 1.8 t^{2} + 14.4 t + 0

Simplify

= - 1.8 t^{2} + 14.4 t

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Frequently Asked Questions (FAQ)

What is the derivative of-0.6t^3+7.2t^2+61 ?
The derivative of-0.6t^3+7.2t^2+61 is -1.8t^2+14.4t
What is the first derivative of-0.6t^3+7.2t^2+61 ?
The first derivative of-0.6t^3+7.2t^2+61 is -1.8t^2+14.4t