Intermediate First Year Mathematics Paper 1B>Chapter 10 - Applications of Derivatives>Exercise 10(h)>Q II

EASY

11th Andhra Pradesh Board

IMPORTANT

Earn 100

Use the first derivative test to find local extrema of $f (x) = x^{3} - 12 x$ on $ℝ$ .

Important Questions on Applications of Derivatives

EASY

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 10 - Applications of Derivatives>Exercise 10(h)>Q II

Use the first derivative test to find local extrema of

f (x) = x^{2} - 6 x + 8

on

ℝ

.

EASY

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 10 - Applications of Derivatives>Exercise 10(h)>Q II

Use the second derivative test to find local extrema of the function

f (x) = x^{3} - 9 x^{2} - 48 x + 72

on

ℝ

.

EASY

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 10 - Applications of Derivatives>Exercise 10(h)>Q II

Use the second derivative test to find local extrema of the function

f (x) = - x^{3} + 12 x^{2} - 5

on

ℝ

.

EASY

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 10 - Applications of Derivatives>Exercise 10(h)>Q II

Find local maximum or local minimum of

f (x) = - \sin 2 x - x

defined on

[- \frac{π}{2}, \frac{π}{2}]

MEDIUM

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 10 - Applications of Derivatives>Exercise 10(h)>Q II

Find the absolute maximum and absolute minimum of

f (x) = 2 x^{3} - 3 x^{2} - 36 x + 2

on the interval

[0, 5]

MEDIUM

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 10 - Applications of Derivatives>Exercise 10(h)>Q II

Find the absolute extrema of

f (x) = 4 x - \frac{x^{2}}{2}

on

[- 2, \frac{9}{2}]

.

EASY

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 10 - Applications of Derivatives>Exercise 10(h)>Q II

Find the maximum profit that a company can make, if the profit function is given by

P (x) = - 41 + 72 x - 18 x^{2}

EASY

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 10 - Applications of Derivatives>Exercise 10(h)>Q II

The profit function

P (x)

of a company selling

x

items is given by

P (x) = - x^{3} + 9 x^{2} - 15 x - 13

where

x

represents units in thousands. Find the absolute maximum profit if the company can manufacture a maximum of

6000

units.