Methods of Differentiations questions
285 published questions with worked solutions.
- Let g(x) = f(x), where f(x) is twice differentiable positive function on (0, ) such that f(x+1) = x f(x). Then for N = 1, 2, 3,...
- If the function f(x) = x^3 + e^ x/2 and g(x) = f^ -1 (x) then the value of g'(1) is
- Let f be a real-valued function defined on the interval (-1, 1) such that e^ -x f(x) = 2 + _0^x t^4+1 ,dt , x (-1, 1). Let f^ -1...
- Let f( ) = ^ -1 ( 2 ) where - 4 < < 4. Then the value of d d( ) f( ) is
- If y = [x+ x^2-1 ]^ 15 + [x - x^2-1 ]^ 15 , then (x^2-1) d^2y dx^2 + x dy dx is equal to:
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