MathematicsTU Board 2083
Using L'Hospital's rule, evaluate: x 1 ( xx 1 1 x ) .
5A worked answer is on its wayMeanwhile, read the Mathematics notes for this topic.
Discussion
Loading…
More Mathematics questions
Section A Attempt any TWO questions. (a) Define composition of two functions. Let f(x) = x and g(x) = 3 x . Find (f f)(x) , (g g)(x) , (g f)(x) and (f g)(x) .…TU Board 208310(a) Find the local maximum and local minimum value of the function f(x) = 4x^3 6x^2 9x + 17 . (b) Examine the continuity of the function f(x) = 9 x^2 on the…TU Board 208310(a) Using method of integration, find the area enclosed by the circle x^2 + y^2 = 16 . (b) Evaluate: 0^1 x^3 1 + 2x^4\, dx .TU Board 208310Section B Attempt any EIGHT questions. Sketch the function y = x x^2 indicating its different characteristics. Also, find the range of function.TU Board 20835Verify Mean value theorem for the function f(x) = (x 1)(x 2)(x 3) in [1, 4] .TU Board 20835Find d^2ydx^2 as a function of t when x = t 1t , y = t + 1t .TU Board 20835