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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