Find the slope of the tangent line to the curve

Consider the curve defined by 2y^3+6X^2(y)- 12x^2 +6y=1 .a. Show that dy/dx= (4x-2xy)/(x^2+y^2+1) b. Write an equation of each
1. 3 answers
2. asked by Taeyeon
3. 2,335 views
original curve: 2y^3+6(x^2)y-12x^2+6y=1dy/dx=(4x-2xy)/(x^2+y^2+1) a) write an equation of each horizontal tangent line to the
1. 1 answer
2. asked by Craig
3. 987 views
original curve: 2y^3+6(x^2)y-12x^2+6y=1dy/dx=(4x-2xy)/(x^2+y^2+1) a) write an equation of each horizontal tangent line to the
1. 0 answers
2. asked by Rainie
3. 693 views
original curve: 2y^3+6(x^2)y-12x^2+6y=1dy/dx=(4x-2xy)/(x^2+y^2+1) a) write an equation of each horizontal tangent line to the
1. 3 answers
2. asked by stephanie
3. 1,994 views
Find 2 tangent line equations to the curve y=x^3+x at the points where the slope of the curve is 4.What is the smallest possible
1. 1 answer
2. asked by Dave
3. 712 views
I have a two part question that pertains to a curve (r(x)) and its tangent line at x=3.We are given that at x=3, r(x)=8. In
1. 1 answer
2. asked by Lauren
3. 876 views
Find the slope of a line tangent to the curve y=2x^2+4x at the point P(−3,6) by finding the limit of the slopes of the secant
1. 1 answer
2. asked by Chris
3. 623 views
1. Given the curvea. Find an expression for the slope of the curve at any point (x, y) on the curve. b. Write an equation for
1. 3 answers
2. asked by Fareha
3. 4,702 views
Suppose that y=f(x) = sqrt(2x), x>=0Find a c > 0 such that the tangent line to the curve y = f(x) at x = c has the same slope as
1. 2 answers
2. asked by Thomas
3. 3,476 views
Find the equation of the tangent line to the curve y=sqrt(x) at x = c. Put the answer in slope intercept form y=mx+b. Use the
1. 1 answer
2. asked by jon
3. 1,326 views