## anonymous one year ago x(t) = 5 + 3t - 4t^2 = 5t^3 find the derivative

1. Luigi0210

Is that "=" suppose to be a "+"?

2. anonymous

Yes , sorry. its suppose to be x(t)= 5 + 3t - 4t^2 + 5t^3

3. triciaal

@bryeshia4 is there a special reason why the polynomial is written backwards?

4. anonymous

@triciaal can u help on my question I mentioned u in?

5. triciaal

|dw:1440955362494:dw|

6. anonymous

@triciaal No!

7. triciaal

|dw:1440955482475:dw|

8. idku

basically, that: $$x(t)=5+3t-4t^2+5t^3$$ for the derivative of a constant, you get 0, and for the rest terms you apply the power rule to - each time: Power rule: $$\color{royalblue}{d/dt~~(t^n)~=~(n)\cdot t^{n-1}}$$ $$x\color{red}{`}(t)={\color{red}{0}}+(1)3t^{1\color{red}{-1}}-(2)4t^{2\color{red}{-1}}+(3)5t^{3\color{red}{-1}}$$

9. idku

x'(t) is a notation for the derivative of the function x(t)