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Grade 12th passDifferential Calculus

Given a function and condition of its differentiability,asked to find out value of b.

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Profile image of Susmita
7 Years agoGrade 12th pass
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1 Answer

Profile image of Aditya Gupta
7 Years ago
differentiability imples continuity, so a+2-1=b-c or b=a+c+1
also f'(0)=2 and f’(2)= – 2c(2) but f'(0)=f'(2) so that c= – ½
now f’(1+)= – 2c(1)
and f'(1-)= 2a+2
or 2a+2= – 2c(1)
or a= – ½
so b=0 and not 15