Question 4): If f(x) is differentiable at a, where a > 0, evaluate the following limit...
5. If f is differentiable at a, where a > 0, evaluate the following limit in terms of f'(a): lim f(x) - f(a) √x- ſa
Question 9 Use L'Hopital's Rule to evaluate the limit. ex -x-1 lim 22 X -> 0 Upload Choose a File
Determine if the following piecewise defined function is differentiable at x = 0. x20 f(x) = 4x-2, x2 + 4x-2, x<0 What is the right-hand derivative of the given function? f(0+h)-f(0) lim (Type an integer or a simplified fraction. I h h+0+
check if e-1/4/ f(x) if x > 0 if x < 0 is differentiable at 0.
(4) Let f(x) (0 if x<0 (a) Show that f is differentiable at z (b) Is f'continuous on R? Is f continuous on R? Justify your answer.
"Mx Letf: R-> R be a differentiable function and f(15)-2. Then the value of lim x 15 dt is X-15 O 2f '(15) The limit does not exist. O22f '(15) O 11f '(15) O f'(15) 3 23 o
evaluate the limit, if it exists. #2 evaluate the limit, if it exists. x 4 - 1 x-1 x3 + 3x2 - 4x lim - V1 + x - V1 - x lim x-0
1. Evaluate the limit. (Use symbolic notation and fractions where needed. Enter "DNE" if limit does not exist.) lim : x→10 (x−10)/(x2−100)= 2. Evaluate the limit. (Use symbolic notation and fractions where needed.) lim : x→−6 (x^2+13x+42)/(x+6)= 3. Evaluate the limit: lim : x→0 (cot7x)/(csc7x)= 4.Evaluate the limit. (Use symbolic notation and fractions where needed. Enter "DNE" in answer field if limit does not exist.) lim : x→1 [(7/(1−x)) −(14/(1−x^2))]=
F. dr Find a function of such that of 8 and then evaluate where F(x, y) = < 3 + 2kg", 2y) and C is any smooth curve from (-2, 1) to (1,2).
F'(x) < 0 if 0<x< 2or x > 4 f"(x)>0if1<x<3, F"(x)<0if x<lor x>3 4. Find the limit. lim(1-2x) 10 5. What is the minimum vertical distance between the parabolas y = x + 1 and y=x-r 4.pdf