Let Let S be the set of points in the interval (-4,4) at which f is not differentiable. Then S:
Option: 1 is an empty set
Option: 2 equals {-2,-1,0,1,2}
Option: 3 equals{-2,-1,1,2}
Option: 4 equals{-2,2}
Condition for differentiability -
A function f(x) is said to be differentiable at if both exist and are equal otherwise non differentiable
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Geometrical interpretation of Derivative -
Let P be any point (x, y) on the curve y = f(x) and Q is a point in the neighbourhood of P on either side of P. such that the co-ordinate of the point Q are
satisfying the curve y = f(x)
- wherein
Where (x, y) on the curve and MT is tangent at (x, y).
Plot graph
f(x) is not differentiable at
x = -2,-1,0,1,2.
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