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Basic maths-calculus-Q1
0
votes
If f(x) is differentiable at x = 1 then the value of
is _____?
maths
numerical-answers
asked
May 19
in
Basic Maths
by
gbeditor
(
44,560
points)
reshown
May 24
by
gbeditor
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2 Answers
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Every differentiable function is countinous. So f(x) is continuous at x=1.
Thus,
left hand limit of f(x) at x= 1 is equal to right hand limit of f(x) at x=1
a*1^2 + 1 = 1^2 + a*1 +b
a+1 = 1+ a+ b
thus b=0
hence ab=0
answered
May 25
by
rahulfabledpro21
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If f(x) is differentiable at x=1 then
2ax=2x+a
2a=2+a at x=1
a=2 (i)
If it is differentiable at x=1 then it should be continuous also at x=1
ax^2+1=x^2+ax+b
a+1=1+a+b at x=1
2+1=1+2+b from (i)
3=3+b
b=0
Therefore the value of ab =0
answered
May 27
by
deepak-gatebook
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