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posted by  indra on 8/1/2008 1:40:56 AM  |  status: Closed  

problem

Course Textbook Chapter Problem
Calculus Calculus: Early Transcendentals (6th) by Stewart 4.9 1E
Question Details:
Please need help, and step by step.
Find the slope of the tangent to the curve y =at any point. For what values of x is the tangent horizontal? For what values of x does  the tangent point upward to the right?
 
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posted by Naeem on 8/1/2008 1:45:44 AM  |  status: Live
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indra's comment:
"Thank You So much"
Response Details:
a)
slope of tangent line at any given point is given by equation

y-y0=m(x-x0)
  where  m = dy/dx          and   (x0,y0)  are any points on the line

dy/dx = 4x3-2   

so    it will be 


 
b)  tantent line is zero, wherever   dy/dx = 0

dy/dx = 4x3-2=0
              x3=1/2
               x = (1/2)1/3
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Tags: Math, Calculus
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