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Class XII Maths Applications of Derivatives 1

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Question 1

A spherical iron ball 10 cm in radius is coated with a layer of ice of uniform thickness than melts at a rate of 50 cm3/min. When the thickness of ice is 5 cm, then the rate at which the thickness of ice decreases, is

Question 2

A boy falling from rest under gravity passes a certain point P. It was at a distance of 400 m from P, 4s prior to passing through P. If g = 10 m/s2, then the height above the point P from where the body began to fall is

Question 3

Function f(x) = x5 – 3x+ log3, ∀ x ∈ R is decreasing function then value of a is in the interval of-

Question 4

Function f(x) = x100 + sin x – 1 is increasing in the interval -

Question 5

Function f(x) = is monotonic increasing when -

Question 6

A function y = f(x) is given by & for all t > 0 then f is

Question 7

Consider the function then the number of points in (0, 1) where the derivative f ′(x) vanishes, is

Question 8

Number of solution of the equation 3 tan x + x3 = 2 in is
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Feb 7JEE & BITSAT