if f of x equa;s to 3x cube minus five x square plus seven x minus 11 is F of f of 1= f of 2
Answers
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f
′
(x)=3x
2
−6(a−2)x+3a
f
′
(x)≥0∀x∈(0,1]
f
′
(x)≤0∀x∈[1,5)
⇒f
′
(x)=0 at x=1⇒a=5
f(x)−14=(x−1)
2
(x−7)
(x−1)
2
f(x)−14
=x−7
∴ answer is 7