SOLUTION: 3. Find the equation of each tangent of the function f(x) = x3 +x2 +x+1 which is perpendicular to the line 2y + x +5=0. 3.

Question 1034488: 3. Find the equation of each tangent of the function f(x) = x3 +x2 +x+1 which is perpendicular to the line 2y + x +5=0. 3.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
==> f'(x) = .
Now the line 2y + x +5=0 has slope -1/2. Any line perpendicular to it must have slope 2.
We now find points on the graph whose tangents have slope 2.
==> f'(x) = ==>
==> (3x-1)(x+1) = 0 ==> x = 1/3, x = -1.
Now f(1/3) = 40/27, and f(-1) = 0.
==> The two lines are and .
Simplify these equations yourself.
RELATED QUESTIONS
Please help me with this question. A tangent to the parabola x^2 = 16y is perpendicular (answered by josgarithmetic)

Find the equation of the tangent line at x= -3 for the function f(x)=1/x. Use limits. (answered by Alan3354)

I'm Having hard time solving this homework. Can anyone help? 2. Calculate the... (answered by oscargut)

For how many real values of x is the function f(x) = x3+ x2 �5 x � 1 equal to zero? (answered by stanbon)

Find an equation of the line. Write the equation using function notation.... (answered by Alan3354)

1.Sketch the graph of y=-x2-2x+3 2.Sketch the graph of y=-x2+2x-2 3.Find the equation... (answered by Boreal)

Please can someone help me solve the following. I would really appreciate some help.... (answered by stanbon)

f(x) = x^3 - 12x - 1 Find all values of x for the given function where the tangent... (answered by ewatrrr,Fombitz)

Find the tangent line equation for the function f(x)=(2x+1)(x^2-3) at the point... (answered by Alan3354)