The relation between the number of words y a person learns in x hours is given by `y=52sqrt(x), 0 le x le 9`. What si the approximate number of words learned when x changes from
(i) 1 to 1.1 hour?
(ii) 4 to 4.1 hour?

A person learnt 100 words for an English test. The number of words the person remembers in t days after learning is given by W(t)=100xx(1-0.1t)^(2), 0 le t le 10 . What is the rate at which the person forgets the words 2 days after learning ?

Verify Rolle's theorem for f(x) = sqrt(1 -x^(2)), -1 le x le 1

If y=x^(4)-10 and if x changes from 2 to 1.99, the approximate change in y is

Differentiate w.r.t.x the function in Exercises 1 to 11. sin^(-1)(x sqrt(x)), 0 le x le 1 .

Let f(x) = minimum (x+1, sqrt(1-x))" for all "x le 1. Then the area bounded by y=f(x) and the x-"axis" is