Posted by Eric on Saturday, October 15, 2011 at 5:41pm.
Consider the function y=x/(x+1)
a) Find dy/dx
b) Find the equation of the line tangent to the curve at x=2
c) Find the equation of the line normal to the curve at x=1

calculus  Damon, Saturday, October 15, 2011 at 6:00pm
dy/dx = [(x+1)1 x(1) ] / (x+1)^2
= 1/(x+1)^2
at x = 2
y = 2/1 = 2 so through point (2,2)
dy/dx = m = 1/1 = 1
so
y = 1 x + b
2 = 2 + b
b = 4
y = x +
for part c
find a new m at x = 1, y = 1/2
the m we want = 1/m
then repeat method of part b
Answer This Question
Related Questions
 Calculus  Please help this is due tomorrow and I don't know how to Ive missed a...
 Calculus AB  Sorry but I've got a lot of problems that I don't understand. 1) ...
 Calculus AB  Could someone please help me with these tangent line problems? 1) ...
 calculus  Consider the curve defined by 2y^3+6X^2(y) 12x^2 +6y=1 . a. Show ...
 Math  The line has equation y=2x+c and a curve has equation y=82xx^2. 1) for ...
 calculus  Consider the curve given by the equation y^3+3x^2y+13=0 a.find dy/dx ...
 Calculus  If F(x)=x^3−7x+5, use the limit definition of the derivative to...
 AP AB Calculus  Linear approximation: Consider the curve defined by 8x^2 + 5xy...
 calculus  Consider the function below. g(x) = 2  x^3 (a) Find g'(0). (b) Use ...
 Calculus  Consider the curve given by y^2 = 2+xy (a) show that dy/dx= y/(2yx...
More Related Questions