(point) Match each logarithmic function f(x) with its graph. 1.f(x) = ln(-x) 2.f(x) = - In(-x) 3.f(x) = - In(x) 4. f(x) = ln(x - 6) 5. f(x) = 6 + In(x) 6.f(x) = In(6 - x)
For question 2 : Find the domain, y and x intercepts, f'(x),
f''(x), Maxima and minna, the table for increasing and
decreasing, table for concavity and then sketching
2. Draw the graph of f(x) = x In(\xD) - (x – 4) In(x – 41). 3. Use cubic approximation to estimate the value of ln(1.3).
2. Draw the graph of f(x) = x In(f2) - (x - 4) In( x - 4).
Graph off 2. The figure above shows the graph of f', given by f'(x) = ln(x2+1) sin(x*) on the closed interval (0,3). The function f is twice differentiable with f(0) = 3. (a) Use the graph of f' to determine whether the graph of f concaves up or concaves down on the interval 0<x<1. Justify your answer. (6) On the closed interval (0,3), find the value of x at which f attains its absolute maximum Justify your answer. (c) Find...
2. Consider the function f(x) = ln (x+4) [6-6+8-16 marks] Note: f'()1")*** 3(4-2) a) On which intervals is f(x) increasing or decreasing b) On which intervals is f(x) concave up or down? c) Sketch the graph of f(x) below Label any intercepts, asymptotes, relative minima, relative maxima and infection points
Please provide explanation .
5. Below is the graph of f(x) = ln x (red) and its derivative f'(x) = 1/x (blue). Write true or false by each of the three statements below. Explain why you said false for any false answers. N a. The graph of f(x) is increasing on the interval 0 < x <infinity b. The graph of f'(x) is positive on the interval 0 < x < infinity C. There is a value of x for...
2. Let f(x, y) = |xl + lyl. Determine the equations and shapes of the cross-sections when x 0, y = 0, x = y, and describe the level curves. Use a three-dimensional graphing tool to graph the surface.
2. Let f(x, y) = |xl + lyl. Determine the equations and shapes of the cross-sections when x 0, y = 0, x = y, and describe the level curves. Use a three-dimensional graphing tool to graph the surface.
Graph the function f(x) = -2, and draw the tangent lines to the graph at points whose x-coordinates are -2,0, and Clear All Draw: F f(x+h)-f(x) Find the difference quotient Preview Find f'(x) by determining lim f(a+h)-f(x) h Preview
4) Draw the graph of the fun Braph of the function f (x) if f is continuous on (-0,00) when you know the following. 16 pts f(0) = -3 f(-2) = 0 = f(2) f' <0 on x <-3 f' <0 on - 3 < x < 0 f'> 0 on 0<x<3 f'>0 on x > 3 - No >< f" <0 on x < -3 f"> 0 on - 3<x<0 f"> 0 on 0<x<3 f" <0 on x >...
14. Find the equation of the tangent line to the graph f(x) = e24 ln(22) at the point (1,0).