its anwer has to be 3 plzz someone solve
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Given function is
f(x) =x^2 -2x+4
so, f'(x) =2x-2
=>f'(c)=2c-2 ---------> (1)
Also, f'(c) =[ f(5)-f(1)]/5-1
Here, f(5)=5^2 -2×5+4=19
f(1)=1^2 -2×1+4=3
Hence, f'(c) =[19-3]/5-1 =16/4 =4
now, using equation 1), we get:
2c-2=4
2c=6
so, c=3 Ans.
option d) is correct✅
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