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

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) (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.
:-)
RELATED QUESTIONS
Find the equation for the tangent line to the function f(x) = 4x3+3x2+5x+6 when x = 2. (answered by Theo)

Find f(1) for f(x) = 4x3 - 3x2 - x + 2 (answered by jim_thompson5910)

Find the instantaneous rate of change for f(x) = x2 + 3x - 11 at x = 2. A company that (answered by stanbon)

Hi, Can someone please review the following, I did the work I just want to make sure... (answered by Earlsdon)

Problem: 5x +6y = 18 for y Answer: y = 3-(5/6)x When graphed this equation would... (answered by ptaylor)

Directions: Determine whether each is a linear function or not. Check Yes if it is a... (answered by Solver92311,josgarithmetic,greenestamps)

having problems/please help 1.find the x-intercept and y-intercept of the equation... (answered by checkley75)

hi! i need help with this problem. "determine the equation of the line described. Put (answered by Mathtut)

find the equation for the line having a slope = 3/4 & a x-intercept of -2. put answer in... (answered by robertb,ilana)