Tangent to curve question (1 Viewer)

[DuhBoyChong]

for what values of b is the line y=3x+b, a tangent to y=x^3

 

[Trebla]

for what values of b is the line y=3x+b, a tangent to y=x^3

y = x³
dy/dx = 3x²
For the line y = mx + b to be a tangent we require
3x² = 3
x = -1, 1
Sub this into the curve y = x³ then we get (-1, -1) and (1, 1) as the points of contact.
Since y = 3x + b is a tangent then substituting each of those points allows you to solve for multiple values of b.

 

[DuhBoyChong]

ty bro. ILY

 

[braintic]

ILY

I'm glad I didn't answer the question. Man up boy.