LECTURE56 EXERCISE 43PART 3Q4amp5CRITICAL POINT CONCAVE UP DOWN RELATIVE EXTREMA GRAPH12 MATH











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TIMESTAMPS: • Introduction: Q4 critical points, function is rising, falling,concave up, concave down • 00:01:34 • Q4(a) 00:04:20 • Q4(b) 00:22:37 • Q5(a) 00:42:02 • Q5(b) 00:50:01 • LINK OF PLAYLIST OF UNIT 4 HIGHER ORDER DERIVATIVES AND APPLICATIONS) SECOND YEAR MATH •    • UNIT 4 SECOND YEAR MATH (HIGHER ORDER...   • LINK OF PLAYLIST OF SECOND YEAR MATH •    • SECOND YEAR MATH (2022)   • LINK OF PLAYLIST OF UNIT 3 SECOND YEAR MATH KPK BOARDS • LINK OF PLAYLIST OF UNIT 2 SECOND YEAR MATH KPK BOARDS •    • UNIT 2 SECOND YEAR MATH(2022) FUNCTIO...   • LINK OF PLAYLIST OF MCQS SECOND YEAR MATH •    • Playlist   • LECTURE#56 EXERCISE 4.3(PART 3)(Q4 5)(CRITICAL POINT CONCAVE UP DOWN RELATIVE EXTREMA GRAPH)12 MATH • subscribe this channel ehtisham Tariq • wmsc Peshawar and hit the bell I icon ad • subscribe this channel ehtisham Tariq wmsc Peshawar and hit the bell I icon ad you get notifications of new videos. • Question 4 find all critical points of the function in the following problems and determine where the graph of the function is rising , falling,concave up or concave down ,sketch the graph • (a) f(x)= 2(x+ 20)²-8(x+20)+7 • (b) f(x) = 1/3x³-9x+2 • Q5. Find all the relative extreme of the following functions: • (a) f(x)=x³-3x²+1 • (b) f(x)= x³+6x²+9x+2 • #2ndyearmath • #calculus • #relativeextrema • #criticalpoint

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