Find the slope of the following curve at x=5
y= 1/(x-2)
No idea how to do really.explaination needed

Question

Find the slope of the following curve at x=5
y= 1/(x-2)   
No idea how to do really.explaination needed

anonymous · Answer

slope is the value of first derivative at the indicated point

anonymous · Answer

I thought that..just no idea how to find here. havent done it yet

anonymous · Answer

do u know how to find the derivative of a function?

anonymous · Answer

y=(x-2)^(-1)
y'=(-1)(x-2)^(-2)
just put x=5 to find slope

anonymous · Answer

What? we were told to do like. F(xo+h)-F(x)/h

anonymous · Answer

yea right, but that is by definition.here i used power rule to find the derivative

anonymous · Answer

if y=x^n
y'=nx^(n-1)

anonymous · Answer

No idea how that works..but i guess it does. Thanks Ill have to ask professor. I dont get how you got the y1=(-1)(x-2)^(-2)

anonymous · Answer

ok, i mentioned the power rule that i used,