Find all points (x,y) on graph y=x/x-6 with tangent lines perpendicular to y=6x-5

Question

xishem · Answer

Try taking the derivative of the function given and work from there.

anonymous · Answer

I did, I got -6/(x-6) ^2

xishem · Answer

And what is the slope of the line function that's given? And what slope would a line perpendicular to it have?

anonymous · Answer

only perpendicular to y=6x-5

xishem · Answer

And the derivative function represents what?

anonymous · Answer

what do you mean?

xishem · Answer

Given a function f(x)...$$f(x)=\frac{x}{x-6}$$what does this represent about the original function, f(x)?...$$\frac{dy}{dx}f(x)=\frac{-6}{(x-6)^2}$$

anonymous · Answer

the change of the fxn when input change
after I got that, I set up the equation -6 / (x-6) ^2 = 6 as the slope of the perpendicular line

xishem · Answer

Close. 6 would be the slope of a line parallel to y=6x-5.

anonymous · Answer

then how do I get the actual slope for perpendicular?

xishem · Answer

The negative reciprocal of one slope is perpendicular to another.

anonymous · Answer

I got it, solved !!! THanks :)

anonymous · Answer

can you help me on some other problems?