Differentiation
Showing 17 of 67 · 67 total
- 51.Let [f(x) = ( 2 ^ - 1 ( ^ - 1 1 - x x ) )], 0 < x < 1.Medium
- 52.Let f : R [] R be defined as f(x) = x^3 + x - 5.Medium
- 53.The value of [ _e 2 (d)/(d x)( _ x cosec x)] at [x=()/(4)] isMedium
- 54.Let [x(t)=2 √2 t 2 t] and [y(t)=2 √2 t 2 t, t (0, ()/(2))].Medium
- 55.For the differentiable function [f: R-0 R], let [3 f(x)+2 f((1)/(x))=(1)/(x)-10], then [|f…Medium
- 56.If y(x)=x^x,x > 0, then y''(2)-2y'(2) is equal toMedium
- 57.Let [f(x) = 2x + ^ - 1x] and [g(x) = _e( 1 + x^2 + x),x [0,3]].Medium
- 58.If [f(x) = x^3 - x^2f'(1) + xf''(2) - f'''(3),x R], thenMedium
- 59.Let [y(x) = (1 + x)(1 + x^2)(1 + x^4)(1 + x^8)(1 + x^16)].Hard
- 60.Let f and g be the twice differentiable functions on [R] such that f''(x)=g''(x)+6x f'(1)=…Medium
- 61.Let [y=f(x)= ^3(()/(3)( (3 √2(-4 x^3+5 x^2+1)^(3)/(2))))].Hard
- 62.Suppose [f(x)=(2^x+2^-x) x ^-1(x^2-x+1)(7 x^2+3 x+1)^3].Medium
- 63.If [f(x)=|[arrayccc 2 ^4 x & 2 ^4 x & 3+ ^2 2 x 3+2 ^4 x & 2 ^4 x & ^2 2 x 2 ^4 x & 3+2 ^4…Medium
- 64.Let [f:(-, )-0 R] be a differentiable function such that [f^(1)= _a a^2 f((1)/(a))].Hard
- 65.Let f:(0, ) R be a function which is differentiable at all points of its domain and satisf…Medium
- 66.Let f: R R be a twice differentiable function such that ( x y)(f(2 x+2 y)-f(2 x-2 y))=( x …Medium
- 67.[ If y(x)=|[arrayccc x & x & x+ x+1 27 & 28 & 27 1 & 1 & 1 array]|, x R , then (d^2 y)/(d …Medium