application of differentiation in economics

Sep 2012
115
0
How to solve this problem?
If x be the labour, y be its charges and \(\displaystyle y=5x^2 -3x\)
then how much charge will there be when we increase the labour by a small amount?
Is the answer like this:- dy= 10x-3dx ?
 
Jul 2010
12,211
522
St. Augustine, FL., U.S.A.'s oldest city
If we use the differential as a linear approximate, we may write

\(\displaystyle \frac{\Delta y}{\Delta x}\approx\frac{dy}{dx}\) hence:

\(\displaystyle \Delta y\approx(10x-3)\Delta x\)