CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Find the length of subnormal at  x= 2 on the curve y = x3.


___


Solution

We saw that P₁N is the length of subnormal in the given figure. It It can be easily calculated from the triangle P₁NP.

PP₁ is the y-coordinate of the point where the tangent is drawn.

θ is the slope of the tangent θ From the figure tan θ=P1NPP1 P1N=PP1tanθ To calculate tan θ, we will differentiate y f'(x) = 3 x2 f'(2) = 12 = tan θ PP1=y coordinate = 23 = 8 Length of subnormal = PP1tanθ=8×12=96

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More...



footer-image