SOLUTION: consider the following function f(x)=4x^3+x^2-0.06x+7 find the two points on the graph at which the tangent line is horizontal. Give your values (-----,-----) point with small

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: consider the following function f(x)=4x^3+x^2-0.06x+7 find the two points on the graph at which the tangent line is horizontal. Give your values (-----,-----) point with small      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   


Question 198971: consider the following function
f(x)=4x^3+x^2-0.06x+7
find the two points on the graph at which the tangent line is horizontal. Give your values
(-----,-----) point with smaller x value
(-----,-----) point with larger x value
can someone help please
thanks

Answer by solver91311(6089) About Me  (Show Source):
You can put this solution on YOUR website!


Take the first derivative of your function, set it equal to zero, and solve the quadratic equation.







Solve for using the quadratic formula to get your two -coordinates. Then evaluate and to get your two -coordinates.

John