Find the derivative of the given function. 600 y= 14+4 e - 3x (Type an exact answer.) Use the first derivative test to

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Find the derivative of the given function. 600 y= 14+4 e - 3x (Type an exact answer.) Use the first derivative test to

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Find The Derivative Of The Given Function 600 Y 14 4 E 3x Type An Exact Answer Use The First Derivative Test To 1
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Find the derivative of the given function. 600 y= 14+4 e - 3x (Type an exact answer.)

Use the first derivative test to determine the location of each local extremum and the value of the function at this extremum. (x) = 3x - 3 Identify the location and function value of the maximum of the function, if any. Select the correct answer below and, if necessary, fill in any answer boxes within your choice A. The function has a local maximum of atx=0 (Use a comma to separate answers as needed. Type exact answers in simplified form.) OB. The function does not have a local maximum. Identity the location and function value of the minimum of the function, if any, Select the correct answer below and, if necessary, fil in any answer boxes within your choice. O A. The function has a local minimum of atx= (Use a comma to separate answers as needed. Type exact answers in simplified form.) OB. The function does not have a local minimum

Sketch the graph of the function. Identify any local extrema and points of inflection x?+9 f(x) 2x What are the coordinates of the relative maxima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. ОА. (Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as need OB. There is no maximum What are the coordinates of the relative minima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA (Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as neede B. There is no minimum What are the coordinates of the points of inflection? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. ОА. (Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needew OB. There are no inflection points Choose the correct graph below.

4x +3 Find the total cost function Cix) (in thousands of dollars) if the marginal cost (in thousands of dollars per unit) at a production level of x units is c'(x) = (OSXS 4), and fixed costs are $40,000 (c(0) = 40). Which of the following explains how to find C(x), the total cost function if the marginal cost at a production level of x units is C'(x)? A. To find the total cost function, evaluate the indefinite integral of the marginal cost and apply the initial conditions (c(0) = 40). Therefore, C(x)= (Type an exact answer.) OB. To find the total cost function, evaluate the derivative of the marginal cost and apply the initial conditions (c(0) = 40). Therefore, C(x)=

Evaluate the given definite integral. 3 FC03e 3 0.3 e -0.3A+ A dA 2 5(03e- -0.3A dA = A (Round to three decimal places as needed.)

Evaluate the given definite integral. 16 S (2+vx)*/3 dx VX 1 16 4/3 (2 + x) 4 2( dx = (Round to four decimal places as needed.) ) VX
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