

(a) A function / has first derivative f'(z) = and second derivative 3) f"(x) It is also known that the function...
4. (a) A function f has first derivative f (r) - and second derivative f"(z) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative (ii) Use the f'(x), and the First Derivative Test to classify each critical point. (iii) Use the second derivative to examine the concavity around critical...
4. (a) A function f has first derivative f'(x) and second derivative 2 f" (x) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative. 3 marks] (ii) Use the f(x), and the First Derivative Test to classify each critical point.[3 marks] (iii) Use the second derivative to examine the...
4. (a) A function f has first derivative f') and second derivative It is also known that the function f has r-intercept at (-3,0) and a y-intercept at (0,0) 0) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative. (ii) Use the f'(x), and the First Derivative Test to classify each critical point. (ii) Use the second derivative to examine the concavity around critical points that are...
4. (a) A function f has first derivative f' (x) - and second derivative f"(x) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative. 3 marks] (ii) Use the f'(x), and the First Derivative Test to classify each critical point. 3 marks (iii) Use the second derivative to examine...
)and second derivative 4. (a) A function f has first derivative f'(x) f(E) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0, Q) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative [3 marks] (ii) Use the f(x), and the First Derivative Test to classify each critical point.[3 marks] (ii) Use the second derivative to examine the concavity...
This is my question:
4. (a) A function f has first derivative f' (a) and second derivative a2 (x +3) 3 It is also known that the function f has r-intercept at (-3,0), f"(z) and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine 3 marks (ii) Use the f'(x), and the First Derivative Test to classify each critical point. [3 marks (iii) Use the second derivative to...
4. (a) A function f has first derivative f'(r) and second derivative It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0, 0) i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative 3 marks (İİ) Úse the f,(x), and the First Derivative Test to classify each critical point. [3 marks] Iİİ) Úse the second derivative to examine the concavity...
I am having problems with this part of my assignment would i be
able to get some help and show the working for these questions
4. (a) A function f has first derivative f'()- and second derivative 12 (z +3) f"(x) It is also known that the function f has r-intercept at (-3, 0), and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the...
2. for the function f(x)= x+2 cos x on the interval
[0,2pi] a. find the first derivative
b.) find the second derivative
c.) find the functions critical values(if any). include their y-
coordinates in your answers in order to form critical points.
d. )find the intervals on which f is increasing or
decreasing.
e. )find the local extrema of f.
f. )find the functions hyper critical values(if any). include their
y coordinates
g.) find the intervals of concavity, i.e. the...
Curve Sketching: Use the following guidelines to sketch the graph of y-f(x) x-5x (20 points) a. What are the behaviors of y when x->oo, or x--0? (3 points) b. What is the first derivative of this function? What are increasing intervals and decreasing intervals and max points and mini points? (6 points) c. What are the second derivative of this function? What are intervals for concavity upwards and concavity downwards and inflection points? (6 points) Use the above information (a,...