What is the derivative of 113t-0.5t^4+900 ?

The derivative of 113t-0.5t^4+900 is -2t^3+113

What is the first derivative of 113t-0.5t^4+900 ?

The first derivative of 113t-0.5t^4+900 is -2t^3+113

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derivative of

113 t - 0.5 t^{4} + 900

- 2 t^{3} + 113

Solution steps

\frac{d}{d t} (113 t - 0.5 t^{4} + 900)

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (113 t) - \frac{d}{d t} (0.5 t^{4}) + \frac{d}{d t} (900)

\frac{d}{d t} (113 t) = 113

\frac{d}{d t} (0.5 t^{4}) = 2 t^{3}

\frac{d}{d t} (900) = 0

= 113 - 2 t^{3} + 0

Simplify

= - 2 t^{3} + 113

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What is the derivative of 113t-0.5t^4+900 ?
The derivative of 113t-0.5t^4+900 is -2t^3+113
What is the first derivative of 113t-0.5t^4+900 ?
The first derivative of 113t-0.5t^4+900 is -2t^3+113