2. Use the limit theorems to find the following limit. r? +10x + 25 lim x+5 Using the definition of the derivative, find f'(x) for the following function. 3. f(x) = x2 + x - 1 the definition of the derivative f(x+h)-f(x) f'(x) = {im What is the slope of tangent line to this curve at x =-1?
Compute the given derivative: 6. (5x-74 7. Find the limit: lim ho h+ 22 h - -8. Given: f(x) = x-3x+5: Find the maximum and minimum at the critical values
Use l'Hospital's Rule to find the exact value of the limit. 6* - 5* lim X-0 3x - 2x
Let lim f(x) 15 and lim g(x)=5. Use the limit rules to find the following limit. x-+5 x- 5 lim [fx)-g(x) X 5 lim [f(x)-g(x)) x 5 (Simplify your answer.) Let lim f(x) 15 and lim g(x)=5. Use the limit rules to find the following limit. x-+5 x- 5 lim [fx)-g(x) X 5 lim [f(x)-g(x)) x 5 (Simplify your answer.)
Please answer 2 questions, urgent. !! SORU 20 Find the limit lim x+y-9 (xy)=(2,3) Vx+y-3 OB. No limit (mevcut değil) OC OD OE 0 SORU 21 y 2 + at the point (-5,5,-5) in the direction in which the points Find the derivative of the function f(x,y,z) = - + function decreases most rapidly. Y . OB. OD.
Problem 5: (15 points) (a) Find the limit sin(2x)-2c lim ェ→0 (b)Find the limit lim (sin1/x-/2) ι π /2 Problem 5: (15 points) (a) Find the limit sin(2x)-2c lim ェ→0 (b)Find the limit lim (sin1/x-/2) ι π /2
12) Let f(A) = x + 1 xxo 0 x=0 (ax+ 2 x>0 a) Find lim f(x). X-70 b) Find lim F(x). X70 c) Find lim f(x). 13) Let f(x) = x - x .O 12.1 x 0 a) Find lim f(x). 6) Find
The limit lim h 10 /36 + h – 6 h represents the derivative of some function f(x) at some number a. Find f and a. f(x) = a =
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 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.