Kindly go through the solution provided below.
ponentia Lions Sketch the first derivative of the functions shown below: 1. 2 و 2. 2...
please sketch the first derivative of the functions
1. | 2. 2 2 3. الم
The derivative of a product of functions is equal to the derivative of the first function times the derivative of the second function. O True O False
12. (8 points) A Graph Satisfying First and Second Derivative Conditions On the figure below, sketch the graph of a function y = f(x) that satisfies: • f(-2) = -3, • f is continuous • F"(x) > 0 on (-00, 2). • f is concave up for 1 > 2, and • lim f(1) = -2. • f'(2) does not exist. 00
For the graphs below, sketch the graph of the
derivative.
(3) For the graphs below, sketch the graph of the derivative. a01 HAIR (x) = 7 6 y = f(x) (),= (x) = 7
The graph of the first derivative f'(x) of function f(2), 1€ (-5,5) is shown below. Then f(x) has a local minimum at (-1,1) - 2+ (0,0) (4,0) (-2,0) 2 - 2 (2,-2) Graph of f'(x) Select one: O a. None of these. O b. x = -2,0,4 only. C. 2 = 2 only. d. 2= -2,4 only. e. 2 = 0 only. Oo oo Consider a function f(x), a € (-0,00) whose first derivative is f'(2) = 1 +(22 –...
Sketch the functions shown below for the intervals indicated. Make sure values for maximums and minimums are clearly indicated. 0sts4 a). b), c). q(t) 2tu(t)- 2(t-1)u(t-1)-2(t-2)u(t-2)+ 2(t-3)u(t-3) g(t) = 2coszt u(t)-2 cost(t-2) u(t-2) q,(t) = 2δ(t-1)-8(t-2) 0sts4 0sts3 Write the expression for the following functions using the unit step notation y(t) 니 7 z(t)
Find the first derivative with respect to the domain variable for the following functions. 4. f(x) = (x - 2)(x² + 2x +4)
Below are eight functions. Find the first derivative of each. Space is provided. Use good dark ink if you are returning this by a scanned version. All of the derivatives can be found by using combinations of the constant rule, power function rule and sum-difference rule. Do not use the product rule. It is not needed. The degree of difficulty (more or less) increases from (a-h). Be sure to show intermediate work. Check the scoring rubric to see how the points are awarded. For example, the first...
4. Look at the graph below of the derivative f' (a). From this, make a sketch of the original function f(x) and of the second derivative f" (2x), and explain your reasoning. (7 marks) A
(30pts) For the pole-zero map of loop transfer functions shown below, roughly sketch the root locus aagram. Calculate, if applicable, (i) the center and angles of asymptote, (ii) the arrival and departure angles for complex polesizeros,(ili) the brecak-in and break-away point, and (iv) clearly indicate the loci for positive values of the gain 2. (a) (15pts) 2-P breele per d branches . S.0,-1 ,+1-(52ms+8) mpn2 assympt shotw wan!