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need help please with clear answers 6. (a) Below are the graphs of f'(x) and f'(x)....
3. Shape of a Graph Below are the graphs of the first and second derivatives of a function f. Estimate the coordinate of the point of inflection and reconstruct the graph of f. You do not need to draw an exact graph but you need to reflect the following features: absolute and local extrema, intervals of monotonicity (increasing/decreasing), concavity, point of inflection. Briefly explain how you obtained your answer. 0.0 0.5 5.0 30 35 40 4550 4.5 -0.5 1.0 3.5...
please help!! If the graphs of two differentiable functions f(x) and g(x) start at the same point in the plane and the functions have the same rate of change at every point, do the graphs have to be identical? Give reasons for your answer A corollary of the Mean Value Theorem states that if f7x): g7x) at each point x in an open interval (a,b), then there exists a constant C such that f(x)= g(x)-C for all Xe(a,b). That is,...
Problem #7: The graph of z =f(x,y) is shown below. In each part, determine whether the given partial derivatives are positive, negative, or zero. (Note that the function is symmetric about 0 in both the x- and y- directions.) 15 10 (a) f(-2,-2) and f.-2,-2) (b) f(-2,-2) and yy(-2,-2) (c) fr(2,0) and f(2,0) (d) f/2.0) and fy(2.0) (A) positive, positive (B) negative, negative (C) zero, positive (D) zero, zero (E) negative, positive (F) zero, negative (G) positive, zero (H) positive,...
1. The graphs of f and g are given below. Use the graphs to answer the following questions. y=80) y = f(x) 1 की Graph of y = f(x) Graph of y = g(x) a) f(-1)+(-1) b) f(0) + 9(0) c) f(2) + 9(2) d) limg-2-(3) + g(x)) e) lim-1-((x) - 9(x)) f) lim +1+(f() - 9(x)) g) lime-1(f(x) - 9(x)) h) lim2+2x29(2) i) Find the point(s) of discontinuities of f(x). Explain why the function is discontinuous at those points....
Problem #7: The graph of z = f (x, y) is shown below. In each part, determine whether the given partial derivatives are positive, negative, or zero. (Note that the function is symmetric about 0 in both the x- and y- directions.) (a) fx(−2, 2) and fxx(−2, 2) (b) fy(−2, 2) and fyy(−2, 2) (c) fx(0, −2) and fxx(0, −2) (d) fy(0, −2) and fyy(0, −2) (A) negative, positive (B) negative, zero (C) positive, negative (D) positive, zero (E) zero, ...
3. Below you are given the graphs of the functions f and g. Suppose that: u(x)-f(g(x)), v(x)-f(x) g(x), and w(x)-g(f(x)) Use the graphs to find the indicated derivatives. If the indicated derivative does not exist, write "D.N.E." in the space provided. Be sure to include work that shows how you arrived at your answer. 20 a) u'3) b) v-4) c) wl) 3. Below you are given the graphs of the functions f and g. Suppose that: u(x)-f(g(x)), v(x)-f(x) g(x), and...
Below is the graph of f(x), a function defined on the domain (-5,5). f(x) For each function value, decide if the value is positive, negative, zero, or undefined. a f'(-3) is positive negative zero undefined b. "(-1) is positive negative ? a. f'(-3) is positive negative zero undefined b. f "(-1) is positive negative zero undefined c. f'(1) is ? positive negative O O zero O undefined d. f"(3) is positive ã o negative o zero o o undefined e....
Please help me solve these two problems. Thanks! Identify the graphs A (blue), B( red) and C (green) as the graphs of a function and its derivatives: is the graph of the function is the graph of the function's first derivative is the graph of the function's second derivative Evaluate each of the following expressions. Enter DNE if the limit does not exist. a) lim F(x) = - - - b) lim F(x) = c) lim F(x) = d) F(-1)...
(1 point) Shown below is the graph of y- f'(x), NOT the graph of y-f(x). (Click on the picture for a better view.) From the information in this graph we can conclude that a good approximation to f(-5.04)- f(-5) is 0.08 Shown below is the graph of a different function, y - g(x). (Click on the picture for a better view.) Indicate the labeled point at which g(x) changes sign: a g'(x) changes sign: d g"(x) changes sign: c (1...
Can someone help me with this problem please ? The graphs of f(x) and g (x) are given below f (x) g(x) ob Sketch the graph of f (g(x)) f(g(x)