I need some help with these problems:
Find an equation of the tangent line to the curve at the given point:
1. y = (x-1)/(x-2), (3,2)
2.y = 2x^3-5x, (-1,3)
for the first, apply the product rule:
once you find the derivative, plug in x = 3. that will give you the slope of the line, that is, m, in y = mx + b. now you know m and you know (x,y) = (3,2) you can find b and hence the equation of the line.
do a similar thing for the second problem, except when finding the derivative, use the power rule which i told you about in your other post
try it