6. [0.84/1 Points] DETAILS Consider the following function. A(x) = 4 - 5x Find the derivative of the function. A'(x) = -

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6. [0.84/1 Points] DETAILS Consider the following function. A(x) = 4 - 5x Find the derivative of the function. A'(x) = -5 5 X = PREVIOUS ANSWERS if x < X if x > 4 5 Find the values of x such that A'(x) = 0. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x = DNE Read It 4 5 Find the values of x in the domain of A such that A'(x) does not exist. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) 4 SCALCET9 4.1.034.EP. Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) DNE MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Enhanced Feedback Please try again. To find critical numbers, you need to differentiate the given function g(t) where it is differentiable and solve for t in the equation g'(t) = 0. All solutions, as well as the points where the function is not differentiable, are the critical numbers. You should use the definition of the absolute value function to rewrite the function as a piecewise defined function before taking the derivative. Need Help?

7. [0.25/1 Points] DETAILS Consider the following function. F(x) = x4/5(x - 6)² Find the derivative of the function. F'(x) = 2x (x-6) + X = PREVIOUS ANSWERS - + x( 7 ) (x-6) ² Find the values of x such that F'(x) = 0. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X = x = 6 X Find the values of x in the domain F such that F'(x) does not exist. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) 12 7 X SCALCET9 4.1.041.EP. X Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x = DNE Read It MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Enhanced Feedback To find critical numbers of a differentiable function, you need to differentiate the given function F(x) and solve for x in the equation F'(x) = 0. All solutions, as well as the points where the function is not differentiable, are the critical numbers. Make sure that you use the Product Rule when differentiating the function. Need Help?

8. [0.5/1 Points] DETAILS Consider the following function on the given interval. f(x) = 13 + 2x - x², [0, 5] Find the derivative of the function. f'(x) = 2 - 2x PREVIOUS ANSWERS Find any critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X = 1 absolute minimum value Find the absolute maximum and absolute minimum values of f on the given interval. 14 absolute maximum value -2 Need Help? Read It SCALCET9 4.1.051.EP. X X MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER

10. [0.25/1 Points] DETAILS Consider the following function on the given interval. f(t) = t√t, [-1, 6] Find the derivative of the function. (7) f'(t) = 1- 1 t = Find any critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) 1 1 27' 27 .0 absolute minimum value 4.19 PREVIOUS ANSWERS X Find the absolute maximum and absolute minimum values of f on the given interval. absolute maximum value Need Help? Read It -8/27 SCALCET9 4.1.059.EP. X X MY NOTES ASK YOUR TEACHER