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Popular >

derivative of h(t)=(3+14t-5t^2)

Solution

derivative of

h (t) = (3 + 14 t - 5 t^{2})

Solution

- 10 t + 14

Solution steps

\frac{d}{d t} ((3 + 14 t - 5 t^{2}))

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (3) + \frac{d}{d t} (14 t) - \frac{d}{d t} (5 t^{2})

\frac{d}{d t} (3) = 0

\frac{d}{d t} (14 t) = 14

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

= 0 + 14 - 10 t

Simplify

= - 10 t + 14

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Frequently Asked Questions (FAQ)

What is the derivative of h(t)=(3+14t-5t^2) ?
The derivative of h(t)=(3+14t-5t^2) is -10t+14
What is the first derivative of h(t)=(3+14t-5t^2) ?
The first derivative of h(t)=(3+14t-5t^2) is -10t+14