5. If f is differentiable at a, where a > 0, evaluate the following limit in...
Question 4): If f(x) is differentiable at a, where a > 0, evaluate the following limit in terms of f'(a): lim ") – f(a)
The f function differentiable at (-1,4) and 7(3) = 5 also let Hx f'(x) > -1. Find the greatest value f(0).
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+
"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
Thank you. - Part 1: Limit of a difference quotient Suppose f(x) = – 5. Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box). X - 2 (f(5 + h) – f(5) lim h0 Him ( 15 + ) - 109 ) = lim ( = lim h0 | Part 2: Interpreting the limit of a difference quotient - Part 1: The derivative at...
evaluate the limit f. lim xVt *+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))]=
Please answer with work Evaluate the limit. sin 5x 10) lim 10) X>0 sinx A) -5 B) 1 C) 5 D) 0
Exercise 1. Let f : R R be differentiable on la, b, where a, b R and a < b, and let f be continuous on [a, b]. Show that for every e> 0 there exists a 6 > 0 such that the inequality f(x)- f(c) T-C holds for all c, x E [a, 히 satisfying 0 < |c-x| < δ
Evaluate the limit lim x→5 x^2 −2x−15/ x^2 −25 Evaluate the limit lim x→∞ x^2 + x /x^5 c. Find all points on the graph of f(x) = 2x^3 −x where the tangent line is parallel to the line y = 149x + 7.