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If f ( y) = e^{y} , g (y) = y; y > 0 and
Let f(x) be a polynomial fun ction of second degree. If f(1) = f (– 1) and a, b, c are in A. P , then f '(a), f '(b), f '(c) are in
The value of a for which the sum of the squares of the roots of the equation x^{2} – (a – 2) x – a – 1 = 0 assume the least value is
If the roots of th e equation x^{2} – bx + c = 0 be two consecutive integers, then b^{2} – 4c equals
Let f : R → R be a differentiable function having f (2) = 6,
The set of points where is differentiable is
If x^{m}. y^{n} = (x+y) ^{m+n} , then dy/dx is
Let y be an implicit function of x defined by x^{2x} – 2x^{x} cot y – 1= 0. Then y'(1) equals
Let f : (–1, 1) → R be a differentiable function with f(0) = – 1 and f '(0) = 1. Let g(x) = [f (2f (x) + 2)]^{2}. Then g'(0) =
If y = sec(tan^{–1}x), then dy/dx at x = 1 is equal to :
If g is the inverse of a function then g ' (x) is equal to:
If x = –1 and x = 2 are extreme points of f (x) = a log x + βx^{2}+x then
129 videos359 docs306 tests

129 videos359 docs306 tests
