Question

h-0
f(a - h)-f(a)
A. Left Hand Derivative (L.H.D):Lf'(a) = lim
-h
f(a+h)-f(a)
B. Right Hand Derivative (R.H.D): Rf'(a) = lim
h
Also, a function f(x) is said to be differentiable at x= a if its L.H.D and RH D at
[lx-31,x21
x = a exist and are equal. For the function f(x)={x?
3x 13
4 2 4
answer the
3
x<1
+
following questions
i) R.H.D of f (x) at x=1 is
a) 1
b)-1
c)0
d) 2
ii) L.H.D of f (x) at x=lis
a) 1
b)-1
c)0
d) 2
iii) f (x)is non-differentiable at
a) x=1
b)x=2
c) x=3
d) x = 4
iv) Find the value of ''(2)
a) 1
b) 2
c) 3
d)-1
v) The value of '(-1) is
a) 2
b) 1
c)-2
d) - 1​

Answer 1

Answer:

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Step-by-step explanation:

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