- #1
- 37
- 0
Homework Statement
show that the tangent line to y=(x^{2}+x-2)^{3}+3 at (1,3) is also tangent to the curve at another point
Homework Equations
The Attempt at a Solution
dy/dx=3(x^{2}+x-2)^{2}(2x+1)
at 1
dy/dx = 0
y=mx+b
b=3
y=3
Then solving the equations y=3 and y=y=(x^{2}+x-2)^{3}+3 will give you two solutions, you know (1,3) is a solution, you just need to get the other solution.Homework Statement
show that the tangent line to y=(x^{2}+x-2)^{3}+3 at (1,3) is also tangent to the curve at another point
The Attempt at a Solution
dy/dx=3(x^{2}+x-2)^{2}(2x+1)
at 1
dy/dx = 0
y=mx+b
b=3
y=3