## Chapter 18 – Maxima and Minima Exercise Ex. 18.1

## Chapter 18 – Maxima and Minima Exercise Ex. 18.2

## Chapter 18 – Maxima and Minima Exercise Ex. 18.3

If *f(x)* = *x*^{3} + *ax*^{2} + *bx* + *c* has a maximum at

*x* = -1 and minimum at *x* = 3. Determine *a*, *b* and *c*.

## Chapter 18 – Maxima and Minima Exercise Ex. 18.4

## Chapter 18 – Maxima and Minima Exercise Ex. 18.5

Divide 15 into two parts such that the square of one multiplied with the cube of the other is maximum.

An isosceles triangle of vertical angle 2θ

is inscribed in a circle radius a. show that the area of the triangle is

maximum when

A given quantity of metal is to be cast into a half

cylinder with a rectangular base and semicircular ends. Show that in order

that the total surface area may be minimum, the ratio of the length of the

cylinder to the diameter of its semi – circular ends is π

: ( π

+ 2)

## Chapter 18 – Maxima and Minima Exercise Ex. 18VSAQ

## Chapter 18 – Maxima and Minima Exercise MCQ

The maximum value of x^{1/x}, x > 0 is

Let f(x) = 2x^{3} – 3x^{2} – 12x + 5 on [-2,4]. The relative maximum occurs at x =

(a) -2

(b) -1

(c) 2

(d) 4