Question

what is the first derivate of x(t)= Et^2 - Ft + G

Answer 1

E and F and G would be constants just like numbers.

Answer 2

split it up into derivative of each term

Answer 3

differentiate each term individually

Answer 4

I had Et + F + G but i was told it is wrong

Answer 5

do you know what \[\frac{d}{dt}G\] is, where G is a constant?

Answer 6

it becomes zero right ?

Answer 7

look, all you need to do is this:
\[\frac{d}{dt}Et^2-\frac{d}{dt}Ft+\frac{d}{dt}G\]

Answer 8

and yes

Answer 9

How did you get +F
from a -Ft?
It would be a -F instead.
Derivative of Et^2 is not Et
Use power rule
Derivative of \[ax^n\] where a is a constant is \[anx ^{n-1}\]

Answer 10

so the answer should be E 2t - F

Answer 11

\[\frac{dx}{dt} x(t)=Et^2-Ft+G=2Et-F\]

Answer 12

2ET would be better than E2t.
Always good to have the number in front.