This Question: 5 pts 13 of 20 (5 complete) Use the quotient rule to find the...
Please provide all steps: a) Use the Product Rule to find the derivative of the given function. b) Find the derivative by multiplying the expressions first. y= (57x + 3) x2 a) Use the Product Rule to find the derivative of the function. Select the correct answer below and fill in the answer box(es) to complete your choice. O A. The derivative is (57x + 3) x2 + . OB. The derivative is ( x + ( vx. O C....
Use the quotient rule to find the derivative of the function. p(t) = 2t - 1 p't) = =
+ Rewrite the number 0.5 as the quotient of two integers. Find the sum of the given finite geometric series 0.5= (Type an integer or a simplified fraction.) The sum of the finite geometric series is Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. 27+9+3+... Warren wanted to save money to purchase a new car. He started by saving $1 on the first of January. On the first of February, he saved $3....
(Product Rule) Use the Product Rule to find the derivative of the function. f(x) = (4x+5)(x2 -8) O a. 2x + 4 Ob. 12x² + 10x - 32 O c. 8x O d. 8x2 – 40
Use l'Hôpital's rule to find the limit. Use - oo or oo when appropriate. 3x2 + 9 * 5x + 4 lim Select the correct choice below and, if necessary, fill in the answer box to complete yo 3x² + 9 lim O A. x-> 00 5x + 4 (Type an exact answer in simplified form.) OB. The limit does not exist.
Use l'Hôpital's rule to find the limit. Use - or when appropriate. In (3 + 2x) lim X-1 X + 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. X-1 In (3 + 2x) lim O A. x + 1 (Type an exact answer in simplified form.) OB. The limit does not exist. Find the percentage rate of change of f(x) at the indicated value of x. f(x) = 159 +54x;...
Use the graph shown to find the following. (a) The domain and range of the function (b) The intercepts, if any (c) Horizontal asymptotes, if any (d) Vertical asymptotes, if any (e) Oblique asymptotes, if any 926 (a) What is the domain? Select the correct choice below and fill in any answer boxes within your choice. O A. The domain of the function is {x1 }. (Type an inequality. Use integers or fractions for any numbers in the expression. Use...
Please answer all 3 question in neat handwriting. Thank you Find the particular solution for the equation. dy = 8x3-9x? +7x: y=0 when x = 1 y = Determine the location of each local extremum of the function. f(x)=x? + 6x2 - 2 What is/are the local maximum/maxima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The local maximum/maxima is/are at x = (Use a comma to separate answers...
Find all critical numbers of the function f(x) = (x - 9). Then use the second-derivative test on each critical number to determine whether it leads to a local maximum or minimum Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The critical number(s) is/are at x = There is no local maximum and no local minimum. (Type an integer or a simplified fraction. Use a comma to separate answers...
Use implicit differentiation to find y' and evaluate y'at (-1,-6). 9xy + y-48 = 0 y' = Evaluate y' at (-1,-6). y'l(-1,-6)=0 (Simplify your answer.) Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x) = x + 10x + 21 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on (Type your answer using interval...