How does the 2nd derivative calculate? Please show the calculation.
How does the 2nd derivative calculate? Please show the calculation. Find the first and second...
4 problems using 1st and 2nd derivatives please solve question 6 to 10.Thanks Derivative Calculations In Exercises 1-12, find the first and second derivatives. 1. y = --x2 + 3 . 2. y = x2 + x + 8 3. s=58 – 375 4. w = 3z? – 7z3 + 2132 5. y = 4x3 = x + 2x - 6. y = x + x 2 + x cula 7. w = 322 – 17 8. s=-20 + 4...
2. (each 1 mark) Find the derivative of the following functions: 9x + 7 (a) y = 92 - 1 (b)r = (02 9016 /09 - 9 ( 9 ) (c) y=rºcot x + 9x2 cos x – 14x sin x 9t sint (d) s = cost + +9 (e) h(x) = cº sin (vą) + 240 sec (1) ) 10 (f) f(0) = (_sin 98 (1+cos 90 ) (g) g(x) = (1 + csc(+10) + In (922 – 8)...
Find the limit, if it exists, or show that the limit does not exist. 1. lim (x²y3 – 4y?) (2,y)+(3,2) 2. lim 24 - 4y2 (x,y)+(0,0) x2 + 2y2 3. Find the first partial derivatives of the function of f(x,y) = x4 + 5.cy 4. Find all the second partial derivatives of f(x,y) = x+y + 2.x2y3 5. Find the indicated partial derivatives. f(1, y) = x^y2 – røy ; farzz, fryz
Find the second derivative of the function. y = 4(x2 + 2x)3 y" = _______ Find the third derivative of the function. f(x) = x4-4x3 f'''(x) = _______
Using the definition, calculate the derivative of the function. Then find the values of the derivative as specified. f(x) = 3 + x2: f'(- 9), F 'O), f (9) Using the definition, calculate the derivative of the function. Then find the values of the derivative as specified. 4 96) = 3. g'(-2), g'(4), g(6) o't)= dx if y = 7x3 dy || s={3 - 4+, t= -6 s'(t)= 0 ne indig y=f(x)= 3 + 14-x, (x,y)= (0,5) The derivative of...
(a) Use the second derivative test to find and classify the critical points for the following function. Don’t forget to find the Y-coordinate of the local extremas. f(x) = e x−4 (x 2 − 10x + 17) (b) Find the area enclosed between the curves √ x and x 3 . (You need to sketch the graphs) f(x) = e*-4.x? 10x + 17). vr and 2.3.
My code for calculating the first derivative is the second image Compute second derivative O solutions submitted (max: 10) You are provided with a set of data for the position of an object over time. The data is sampled at evenly spaced time intervals. Your task is to find a second order accurate approximation for the acceleration at each point in time. Write a Matlab function that takes in a vector of positions x, the time interval between each sampled...
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...
Find the derivative of the function. Please a show step by step of how to do it. Find the derivative of the function. 9. 2 y = logs (x² + 2x) 0 dy dx ||
(a) A function / has first derivative f'(z) = and second derivative 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 first derivative ii) Use the f'(), and the First Derivative Test to classify each critical point. (ii) Use the second derivative to examine the concavity around critical points...