MAXIMUM AND MINIMUM VALUES OF FUNCTIONS [FOR 12th GRADE / A- LEVEL]

MAXIMA AND MINIMA For Plus 2 / A-Level / 12 th Grade MAXIMA AND MINIMA Question1 Find the local maxima or minima of the function y = x2 – 6x + 8 using first derivative test only. Question 2 Find the local maxima or minima of the function y = - x2 - 7x – 10 using first derivative test only Question 3 Find the maximum profit that a company can make, if the profit function of the company is given by p(x) = 41 – 72 x - 18x2 Question 4 Find the local maxima or minima of the function y = x3 – 6x2 + 9x + 15 using first derivative test only Question 5 Find the maximum and minimum values of the function ( x - 1)2 (x – 4) using second derivative test. Question 6 Find the maximum and minimum values of the function, Question 7 Prove that the function x3 + x2 + x + 1 has neither maxima nor minima Question 8 Find the absolute maximum value and absolute minimum value of the function, f(x) = sin x + cos x in Question 9 Find the maximum and minimum value of x + sin 2x in Question 10 Find two positive numbers whose sum is 16 and the sum of whose cubes is minimum Question 11 A square piece of tin of side 18 cm is to be made into a box without top, by cutting a square off from each corner and folding up the flaps to form the box. What should be the side of the square to be cut off so that the volume of the box is the maximum possible ? Question 12 Show that of all the rectangles inscribed in a given fixed circle, the square has the maximum area. Question 13 Prove that the volume of the largest cone that can be inscribed in a sphere of radius R is of the volume of the sphere. +++++++++++++++++++++++++++++++++++++++++ ONLINE MATHS TUITION OFFERS EXCELLENT PRIVATE TUITION AT AFFORDABLE RATE [ from 8th to 12th Grade ] http://www.wiziq.com/ign Just US $ 6.00 per hour . INSTANT HELP AT ANY TIME OF THE DAY !!!!!!!!! CONTACT ME AT : georgeignatius9 [Skype] gntsgeorge@yahoo.co.in [Y / Messenger] georgeignatiusxx@gmail.com [ G-mail] +++++++++++++++++++++++++++++++++++++++++++++++ In case you need a private online lesson on this topic , you can contact me right now !!!!!!!!!!!! +++++++++++++++++++++++++++++++++++++++++++++++