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Class XII Maths Application of Derivatives Quiz 4
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Question 1
Function f(x) = log (1 + x) – 
is monotonic increasing when -
is monotonic increasing when - Question 2
Let 
which of the following properties does f have on the interval (0, 6)?
(i) λn f(x) exists
(ii) f is continuous
(iii) f is monotonic
which of the following properties does f have on the interval (0, 6)? (i) λn f(x) exists
(ii) f is continuous
(iii) f is monotonic
Question 3
The function f(x) = cos (π/x) is increasing in the interval -
Question 4
Find the rate of change of TSA of the hemisphere if the rate of change of volume is given as 12 cm3/sec and the rate of change of radius is given as 
cm/sec. Also find the radius at which it is possible.
cm/sec. Also find the radius at which it is possible. Question 5
Assume that the stock of a company varies only with respect to demand and not with supply. Stock price and demand govern the relationship as s = f(D)
S = 4D3 + 6D2 + 2D – 67, where S is the stock price and D is the demand.
Then the rate of change of stock with respect to demand when D = 7 unit:
S = 4D3 + 6D2 + 2D – 67, where S is the stock price and D is the demand.
Then the rate of change of stock with respect to demand when D = 7 unit:
Question 6
How many roots exist for 
if 
?
if ? Question 7
If the Rolle’s theorem holds for the function f(x)=2x3+ax2+bx in the interval 
for the point 
then the value of 2a+b is :
for the point then the value of 2a+b is : Question 8
The normal to the curve x = a(1 + cosA), y = asinA at ‘A’ always passes through the fixed point.
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Jul 31JEE & BITSAT
