SOLUTION: Find the equation for the tangent line to the function f(x) = 4x3+3x2+5x+6 when x = 2. Put your answer in slope intercept (y= mx+ b) format, and use it to identify the y-interc

Algebra ->  Linear-equations -> SOLUTION: Find the equation for the tangent line to the function f(x) = 4x3+3x2+5x+6 when x = 2. Put your answer in slope intercept (y= mx+ b) format, and use it to identify the y-interc      Log On


   



Question 801702: Find the equation for the tangent line to the function f(x) = 4x3+3x2+5x+6 when x = 2.
Put your answer in slope intercept (y= mx+ b) format, and use it to identify the y-intercept for this line.
The y-intercept for the tangent line to the function f(x) = 4x3+3x2+5x+6 when x = 2 is ________________________?

Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Substituting x = 2 into the equation
gives a y coordinate of 60.
4x3+3x2+5x+6
Differentiate:
12x^2 + 6x + 5
Substitute x = 2
gradient = 65
Equation of tangent
y = 65x + c
Using (2,60)
60 = 65*2 + c
c = 60 - 130
c = - 70
Equation of tangent =
y = 65x - 70
Hope this helps.
:-)