SOLUTION: Hi, Can someone please help me with this question pleaaasssee. Determine the slope of the tangent to each curve at the given value of x y= {{{x^2-x}}},x=3 y= {{{sqrt(x-2)}}},

Algebra ->  Test -> SOLUTION: Hi, Can someone please help me with this question pleaaasssee. Determine the slope of the tangent to each curve at the given value of x y= {{{x^2-x}}},x=3 y= {{{sqrt(x-2)}}},      Log On


   



Question 713204: Hi, Can someone please help me with this question pleaaasssee.
Determine the slope of the tangent to each curve at the given value of x
y= x%5E2-x,x=3
y= sqrt%28x-2%29,x=3
Can you show the solution step by step please.Thank you.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Determine the slope of the tangent to each curve at the given value of x
Find the 1st derivative:
===========================
y= x%5E2-x,x=3
y' = 2x-1
m = 2*3 - 1 = 5
===============================
y= sqrt%28x-2%29,x=3
y' = %28x-2%29%5E%28-1%2F2%29%2F2
m = 1/2