Question

Could someone quickly show me how to calculate the derivative of 4t-t^2? I'm having trouble for some reason.

Answer 1

what math class is this for?

Answer 2

in order to find the derivative of the first part 4t u have to take the number thats in front of the t seeing that t has no exponent. when t has an exponent u take the exponent and place it in front of the t and minus the exponent from 1 to see what the exponent will be.
so \[4t-t^2 \]
would be \[4-2t^1\]

Answer 3

This is for calculus...I'm usually fine with finding derivatives but for some reason I'm having trouble with this (what should be) simple task. :/

Sorry--I forgot to point out that this is for an object when t=1.
I know how to find it with the power rules, but I need to find it with limit notation and I'm getting stuck.
\[ x(t) = 4t-t^2\]
\[\lim_{t \rightarrow 1} \frac{ x(t)-x(1) }{ t-1 }\]
\[\lim_{t \rightarrow 1} \frac{ 4t-t^2-3 }{ t-1 }\]

What do I do next/what am I missing?

Answer 4

oh i'm sorry im not sure what the next step would be.