What is the derivative of x=4t^2-3t+11 ?

The derivative of x=4t^2-3t+11 is 8t-3

What is the first derivative of x=4t^2-3t+11 ?

The first derivative of x=4t^2-3t+11 is 8t-3

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derivative of

x = 4 t^{2} - 3 t + 11

8 t - 3

Solution steps

\frac{d}{d t} (4 t^{2} - 3 t + 11)

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (4 t^{2}) - \frac{d}{d t} (3 t) + \frac{d}{d t} (11)

\frac{d}{d t} (4 t^{2}) = 8 t

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

\frac{d}{d t} (11) = 0

= 8 t - 3 + 0

Simplify

= 8 t - 3

What is the derivative of x=4t^2-3t+11 ?
The derivative of x=4t^2-3t+11 is 8t-3
What is the first derivative of x=4t^2-3t+11 ?
The first derivative of x=4t^2-3t+11 is 8t-3