Find (A) the derivative of F(x)S(x) without using the product rule, and (B) F'(x)S'(x). Note that...

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Find (A) the derivative of F(x)S(x) without using the product rule, and (B) F'(x)S'(x). Note that the answer to part (B) is different from the answer to part (A). F(x)=x² + 1, S(x) = x³ (A) The derivative of F(x)S(x) is. T(x) Find (A) the derivative of without using the quotient rule, and (B) B(x) T(x)=x, B(x)=x4 T(x) (A) The derivative of is B(x) T'(x) B'(x) Note that the answer to part (B) is different from the answer to part (A). The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation. C(x)=6+√√2x + 24 Perform the following calculations and interpret the results. C'(x)= 0≤x≤ 50 Cost (hundred dollars) 20- 15- LO I I 10 20 30 40 50 Production X Find f'(x) and find the values(s) of x where f'(x) = 0. f(x) = (2x - 39) (x² +108) f'(x) = 6x² - 78x+216 X = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) Find f'(x) and find the value(s) of x where the tangent line is horizontal. f(x) = x²(x - 10) f'(x) = x²(x - 10) (7x +3 (7x + 3(x-10)) Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The tangent line is horizontal at x = (Use a comma to separate answers as needed.) OB. The tangent line is never horizontal. Find (A) the derivative of F(x)S(x) without using the product rule, and (B) F'(x)S'(x). Note that the answer to part (B) is different from the answer to part (A). F(x)=x² + 1, S(x) = x³ (A) The derivative of F(x)S(x) is. T(x) Find (A) the derivative of without using the quotient rule, and (B) B(x) T(x)=x, B(x)=x4 T(x) (A) The derivative of is B(x) T'(x) B'(x) Note that the answer to part (B) is different from the answer to part (A). The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation. C(x)=6+√√2x + 24 Perform the following calculations and interpret the results. C'(x)= 0≤x≤ 50 Cost (hundred dollars) 20- 15- LO I I 10 20 30 40 50 Production X Find f'(x) and find the values(s) of x where f'(x) = 0. f(x) = (2x - 39) (x² +108) f'(x) = 6x² - 78x+216 X = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) Find f'(x) and find the value(s) of x where the tangent line is horizontal. f(x) = x²(x - 10) f'(x) = x²(x - 10) (7x +3 (7x + 3(x-10)) Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The tangent line is horizontal at x = (Use a comma to separate answers as needed.) OB. The tangent line is never horizontal.