question - 4 plzzzzzzzzzzz draw the graph !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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question - 4 plzzzzzzzzzzz draw the graph !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 1. Find the derivative of each of the...
answer all questions !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1. Find the derivative of each of the following unctions: (e) w- 4u/2 (f) w=4u1/4 12 (c) y7x (b) y 63 2, Find the following: 0 (b) -9x1/3 (-oub du 3. Find f(1) and f(2) from the following functions: (C) f(x)--5x-2 (d) f(x)- ^*4/3 (a) y- f(x) -18x 4. Graph a function f(x) that gives rise to the derivative function f'(x) 0. Then graph a function 9(x) characterized by g(xo)0
Find the derivative of the function. y sin-1(5x+ 1) Part 1 of 3 The function y - sin-1(5x + 1) is a composition, and so we must use the Chain Rule, given below, to find the derivative dx[f(g(x))) = f '(g(x))g'(x) For the given function sin 1(5x+ 1), the "inside" function is Sx + and the foutside" function is arcsin (a) Part 2 of 3 Recall that the derivative of y sin-1(x) is 1-(5x - 1)2
Find the derivative of...
Problem 4. Find the derivative of the faction yan" - VI Problems. Find the derivative of the function y=sin( 2.1) Problem 6. Find the derivative of the function (x) - sinh(x'). Problem 7. Find the limits. Use L'Hospital's Rule where appropriate. (a) lime (b) lim ( sinx Inx) I Problem 8. Sketch the graph of a functionſ that is continuous on [1, 5] and has absolute minimum at 2, absolute maximum at 3, local minimum at 4. Problem 9. Sketch...
A function and its graph are given. Use the second derivative to determine each of the following. Check your results against the graph shown. f(x) = x3 - 6x2 + 5x + 6 f(x -6 -4 -2 LLLLL X 416 Determine the interval on which the function is concave up. (Enter your answer using interval notation.) Determine the interval on which the function is concave down. (Enter your answer using interval notation.) Locate the point of inflection. (If an answer...
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 derivative of the function y= 4 In 3x 2 + 5x 4(2 + 5x -5 In (3x)) y': x(2 + 5x)2
MTH 261-A Test unit ! | Ench part of each problem Counds 7pts. 1. Find the domain of the function I f(x) = x - 4 2. Compute each limit. 3. Find the derivative dy for each function, Simplify results. all y = 5x + 4x² b. y = 6 x - 3 4. Find the second derivative of f(x). Simplify results. f(x) = (x²+2)5 so Write the equation of the line tan to the graph of y=x²-2x+7 I at...
Question 27 4 pts Find the partial derivative. Let z = f(x,y) = 9x2 - 11xy + 4yº. Find -11x + 12y -11x - 12y 18x - 1ly 18x +11y2
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...
5x + 1 Use the definition of the derivative to find the derivative of the function f(x) = *-*2. Then find all x-values (if any) where the tangent line is horizontal. If the tangent line is horizontal for all X, write R for your answer. If the tangent line is never horizontal, write None for your answer Answer 3 Points Keypad 11 1'(x) = 2 Tangent is horizontal at x = Prev Nex If f(3) = -1, f(3) = 17,...