SOLUTION: Find the equation of the normal and tangent to the curve at the given point: f(x) = x^3 - 2(x^2) + 4 , (2,4) Thank you

Algebra ->  Trigonometry-basics -> SOLUTION: Find the equation of the normal and tangent to the curve at the given point: f(x) = x^3 - 2(x^2) + 4 , (2,4) Thank you      Log On


   



Question 555121: Find the equation of the normal and tangent to the curve at the given point:
f(x) = x^3 - 2(x^2) + 4 , (2,4)
Thank you

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation of the normal and tangent to the curve at the given point:
f(x) = x^3 - 2(x^2) + 4 , (2,4)
---------
f'(x) = 3x^2 - 4x
f'(2) = 4
--------------
Use y = mx + b and the point
4 = 4*2 + b
b = -4
--> y = 4x - 4 is tangent
---
Use the same method for the perpendicular.