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The function fx=px-q+rx, x∈-∞, ∞ where p>0, q>0, r>0 assumes its minimum value only at one point if

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Important Questions on Applications of Derivatives

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Critical Thinking>Q 117
The minimum value of the function fx=3x4-8x3+12x2-48x+25 on 0, 3 is equal to
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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Critical Thinking>Q 118
The minimum value of x-αx-β is
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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Critical Thinking>Q 119
20 is divided into two parts so that product of the cube of one quantity and the square of the other quantity is maximum. The parts are
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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Critical Thinking>Q 120
One maximum point of sinpx cosqx is
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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Critical Thinking>Q 121
A wire of length a is cut into two parts which are bent respectively in the form of a square and a circle. The least value of the sum of the areas so formed is
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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Critical Thinking>Q 122
The length of the perimeter of a sector of a circle is 20cm. The maximum area of the sector is
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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Critical Thinking>Q 123
A running track of 440 ft is to be laid out enclosing a football field, the shape of which is a rectangle with a semicircle at each end. If the area of rectangular portion is to be maximum, then lengths of sides are
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IMPORTANT
MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Critical Thinking>Q 124
A box is to be made from a sheet 12×12 sq. cm, by cutting equal squares from the four corners and turning up its sides. Find the length of the side of the square to be cut out, in order to obtain a box of the largest possible volume?