Let
Find the differential when and
Find the differential when and
so far i came up with dy/dx = 10x+7
dy = [10x+7]dx
so now i am confused and i don't know if i did that right and i need to know what to do next
In my opinion the terms dx and dy don't indicate differentials but finite differences [otherwise an expression like dx= .3 is meaningless...]. In that case writing in the equation...
$\displaystyle y = 5\ x^{2} + 7\ x + 4$ (1)
... y + dy instead of y and x + dx instead of x You obtain...
$\displaystyle y + dy = 5\ (x + dx)^{2} + 7\ (x+dx) + 4 \rightarrow dy = 10\ x\ dx + 5\ dx^{2} + 7\ dx $ (2)
... that allows You to find the solution...
Kind regards
$\displaystyle \chi$ $\displaystyle \sigma$