What is the derivative of f(t)=6t-5t^2 ?

The derivative of f(t)=6t-5t^2 is 6-10t

What is the first derivative of f(t)=6t-5t^2 ?

The first derivative of f(t)=6t-5t^2 is 6-10t

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derivative of

f (t) = 6 t - 5 t^{2}

6 - 10 t

Solution steps

\frac{d}{d t} (6 t - 5 t^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (6 t) - \frac{d}{d t} (5 t^{2})

\frac{d}{d t} (6 t) = 6

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

= 6 - 10 t

What is the derivative of f(t)=6t-5t^2 ?
The derivative of f(t)=6t-5t^2 is 6-10t
What is the first derivative of f(t)=6t-5t^2 ?
The first derivative of f(t)=6t-5t^2 is 6-10t