Question

The sum of 2 non-zero nos is 8.Then min value of the sum of their reciprcocals is:

Answer 1

@amistre64 , @asnaseer , @TuringTest , @experimentX

Answer 2

@Ishaan94 , @satellite73

Answer 3

\[x+y=8\]and we want to minimize:\[\frac{1}{x}+\frac{1}{y}\]

Answer 4

ys

Answer 5

so just find x interms of y from first equation.
substitute into second and use calculas to find minimum.

Answer 6

by equating dy/dx=0 ryt?

Answer 7

yes - remember to also consider value of \(\frac{d^2y}{dx^2}\) to determine if its a min, max or point of inflection

Answer 8

k