QUESTION 2 f(x+h)-f(x) An important calculation in calculus is the evaluation of the expression - f(x...
= Knowledge Check Qu f(x+h)-f(x) Find the difference quotient h where h#0, for the function below. f(x) = 5x²-2 Simplify your answer as much as possible. f(x + h) - f(x) 2) = 0 00 h Х 5 ? I Don't Know Submit Type here to search o a 5
Given that f(x) = x^2 - 8, find the following expression and simplify. (f(x + h) - f(x))/h =
Question 2 f'(x) glx) g(x) g'(x) x 5 6 4 z 3 z -4 3 -2 2 4 5 o -5 8 2 A. find h'll), where h(x)=2x-3f(x) 3 0 a B find hils), where h(x) = f(x) g(x) C. find h (3), where h(x) = f(g(x)) D. find n (4), where h(x)= (g(x))*
Produce graphs of f that reveal all the important aspects of the curve. Then use calculus to find the following. (Enter your answers using interval notation. Round your answers to three decimal places.) f(x) = ex − 0.196x4 Find the inflection points of the function. (x, y) = (smallest value) (x, y) = (x, y) = (largest x-value) Find the interval(s) where the function is concave up. Find the interval(s) where the function is concave down.
f(x+h)-f(x) Find if f(x)=3x2 + 5x-18 h O A. 6x+5-3h 0 B. 6x +5+h 0 C. 6x+5 O D. 6x + 5+ 3h
BI U & A 5 5b. Factor the expression 5a. Factor the expression x' + 5x + 6 x² + 3x - 28 MUST SHOW WORK ON SEPARATE SHEET OF PAPER 2 6x - 14 = 0. 6. Solve for the exact values of x by completing the square: x Leave your answer in simplest radical form. MUST SHOW WORK ON SEPARATE SHEET OF PAPER 7 Chanc 2.2 A 2.unbate the followinn The My 2 4 3 5 6 9...
(4 points) For the function f(x) = 2? + 3.1, simplify each expression as much as possible. 1. f(x + h) – f(),h40 2. f(w) – f(x) +w Note: You can earn partial credit on this problem HW08 Section 3.3: Problem 11 Previous Problem Problem List Next Problem (4 points) Given the function f(1) = 5x - 4. calculate the following values: f(a) = f(a+h) = f(a+h)-f(a)
Activity: A Journey Through Calculus from A to Z sin(x-1) :- 1) x< h(x) kr2 - 8x + 6. 13x53 Ver-6 – x2 +5, x>3 Consider f'(x), the derivative of the continuous functionſ defined on the closed interval -6,7] except at x 5. A portion of f' is given in the graph above and consists of a semicircle and two line segments. The function (x) is a piecewise defined function given above where k is a constant The function g(x)...
Find two functions f and g such that (f X g)(x) = h(x). ( There are many correct answers. My answers were f(x) = 4/5x and g(x) = 5x + 2 but this was wrong.
Given f(x), find g(x) and h(x) such that f(x)=g(h(x)) and neither g(x) nor h(x) is solely x. f(x)=3√(5x^2+4)+1 g(x)= h(x)=