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Find the least value of a such that the function f given by f(x)=x^2+ax+1 is strictly increasing....
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Class XII_ Monotonicity
Q100: Find the least value of a such that the function f given by f(x)=x^2+ax+1 is strictly increasing on (1, 2).
Previous recorded questions and their links:
Q64: Show that the function given by 𝒇(𝒙)=𝟕𝒙−𝟑 is strictly increasing on R.
+
Q95: Show that f(x) = 〖tan〗^(–1) (sinx + cosx) is an increasing function on the interval (0,π/4).
+
#cbse #icse #boards #8th #9th #10th #foundation #competition #iit #jee #Advanced #mains #ntse #olympiads #exams #examination #achiever #topper #zenith #zenithinstituteofmathematics #indersir #ludhiana #modelgram #bestmathscoaching #besttutorials #besttuition #bestinludhiana #mathtricks #viii #ix #x #xi #xii #important #excellent #question #Inverse #inversetrigonometricfunctions #TrigonometricFunctions #sinx #cosx #tanx #secx #cotx #cosecx #monotonicity #monotonicfunctions #increasingfunction #decreasingfunction #applicationsofderivatives #maximaminima #tangentsandnormals #rateofchangeofquantities
Q100: Find the least value of a such that the function f given by f(x)=x^2+ax+1 is strictly increasing on (1, 2).
Previous recorded questions and their links:
Q64: Show that the function given by 𝒇(𝒙)=𝟕𝒙−𝟑 is strictly increasing on R.
+
Q95: Show that f(x) = 〖tan〗^(–1) (sinx + cosx) is an increasing function on the interval (0,π/4).
+
#cbse #icse #boards #8th #9th #10th #foundation #competition #iit #jee #Advanced #mains #ntse #olympiads #exams #examination #achiever #topper #zenith #zenithinstituteofmathematics #indersir #ludhiana #modelgram #bestmathscoaching #besttutorials #besttuition #bestinludhiana #mathtricks #viii #ix #x #xi #xii #important #excellent #question #Inverse #inversetrigonometricfunctions #TrigonometricFunctions #sinx #cosx #tanx #secx #cotx #cosecx #monotonicity #monotonicfunctions #increasingfunction #decreasingfunction #applicationsofderivatives #maximaminima #tangentsandnormals #rateofchangeofquantities