NCERT Class 12-Mathematics: Chapter –6 Application of Derivatives Part 23

Glide to success with Doorsteptutor material for NSO : fully solved questions with step-by-step explanation- practice your way to success.

Question 54:

The function, has

(A) Two points of local maximum

(B) Two points of local minimum

(C) One maxima and one minima

(D) No maxima or minima

Question 55:

The maximum value of is

(A)

(B)

(C)

(D)

Question 56:

At is:

(A) Maximum

(B) Minimum

(C) Zero

(D) Neither maximum nor minimum.

Question 57:

Maximum slope of the curve is:

(A)

(B)

(C)

(D)

Question 58:

has a stationary point at

(A)

(B)

(C)

(D)

Question 59:

The maximum value of is:

(A)

(B)

(C)

(D)

Fill in the Blanks in Each of the Following Exercises 60 to 64

Question 60:

The curves and touch each other at the point_____.

Question 61:

The equation of normal to the curve is ________.

Question 62:

The values of for which the function increases on are ______.

Question 63:

The function, , decreases in the interval _______.