What is the derivative of-5t^2+75t-30 ?

The derivative of-5t^2+75t-30 is -10t+75

What is the first derivative of-5t^2+75t-30 ?

The first derivative of-5t^2+75t-30 is -10t+75

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derivative of

- 5 t^{2} + 75 t - 30

- 10 t + 75

Solution steps

\frac{d}{d t} (- 5 t^{2} + 75 t - 30)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d t} (5 t^{2}) + \frac{d}{d t} (75 t) - \frac{d}{d t} (30)

\frac{d}{d t} (5 t^{2}) = 10 t

\frac{d}{d t} (75 t) = 75

\frac{d}{d t} (30) = 0

= - 10 t + 75 - 0

Simplify

= - 10 t + 75

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What is the derivative of-5t^2+75t-30 ?
The derivative of-5t^2+75t-30 is -10t+75
What is the first derivative of-5t^2+75t-30 ?
The first derivative of-5t^2+75t-30 is -10t+75