Derivative- Normal line(急!!!)

2007-04-22 7:57 am
我想知...
find the equation for the normal line to F(x) at x=4

係用咩式同有咩step計佢出泥

thx~

回答 (1)

2007-04-22 11:20 am
✔ 最佳答案
搵normal既話,要先搵slope of tangent
既然我唔知個function係咩,我唯有用F'(x)繼續做落去.

              y = F(x)
        slope of tangent = F'(x)
As tangent ⊥ normal,
slope of tangent * slope of normal = -1
     F'(x) * slope of normal = -1
       slope of normal = -1 / F'(x)

slope of normal line to F(x) at x=4 = -1 / F'(4)

Then, the equation for the normal line to F(x) at x=4 is
     [ y - F(4) ] / ( x - 4) = -1 / F'(4)
     F'(4)y - F(4) F'(4) = - x + 4
         x + F'(4)y = F(4) F'(4) + 4 //
參考: by My Maths


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