Question

The curve for which dy/dx = 25 - 9/x^2 has a maximum value of -30. Find the equation of the curve.

Answer 1

@uri

Answer 2

@Luigi0210

Answer 3

Do you know how to start?

Answer 4

Integrate and i'm stuck after that.

Answer 5

what do you have after integral

Answer 6

9x^-1 + 25x +c .

Answer 7

Bingo.

Answer 8

ok, psymon help him , please

Answer 9

Pfft, ive been volunteered xD

Answer 10

hahahaa, pleazzzze

Answer 11

Of course Psymon.

Answer 12

to me, you have y' = -30, plug to y' to find x, you have 2 values of x, plug both them into the integral answer, for that, solve for C and ...done. Just think of this, not sure

Answer 13

But isnt a maximum value found by setting y' = 0? Meaning x has to be -30 O.o

Answer 14

oh yes, you are right, I'm sorry

Answer 15

Like -30 would be a critical point.

Answer 16

Indeed

Answer 17

Same, haha

Answer 18

Bingo

Answer 19

Well, it still means x is -30, lol. But solvefor c, yes.

Answer 20

Im just not confident enough to give a legit answer. Im not even sure im interpretting it correctly, even though I have an answer.

Answer 21

in the question, maximum value refers to maximum value of function "y" or maximum value of "dy/dx" ??