Question

At what point on the curve y=tan x-x, x element (0,π/2) is the tangent line parallel to the line 2x-3y=5.

Answer 1

Parallel means they have the same slope value.
Do you know how to find the slope of a line which is in standard form?
\(\rm 2x-3y=5\qquad\to\qquad m=?\)

Answer 2

ok...i will try calculate it now..

Answer 3

i got m=2/3

Answer 4

So there is a line tangent to our curve y, somewhere,
where the slope is parallel to this slope value.\[\large\rm y'=\frac23\]Find your derivative, then set it equal to 2/3,\[\large\rm \left(\tan x -x\right)'=\frac23\]and solve for x.

Answer 5

Sorry I have to go for now.

Answer 6

ok..thanks..

Answer 7

GO TO SLEEP ITS 3:11 AM PS im
about to also