10 questions to be answered

Given the function g(x) = 6x + 81x2 + 360x, find the first derivative, g'(x). g' (x) = Notice that g' (x) = 0 when x - - 5, that is, g'( - 5) = 0. Now, we want to know whether there is a local minimum or local maximum at x = - 5, so we will use the second derivative test. Find the second derivative, g'' (x) g' (x) = Evaluate g'' ( - 5). 9" ( - 5 ) = Consider g(u) = 1luv 128 - u and use the Second Derivative Test to address the following prompts. Determine the value and location of any local minimum of f. Enter the solution in (u, g(u)) form. If multiple solutions exist, use a comma-separated list to enter the solutions. Og has a local minimum at: O g has no local minimum. Determine the value and location of any local maximum of f. Enter the solution in (u, g(u)) form. If multiple solutions exist, use a comma-separated list to enter the solutions. g has a local maximum at: O g has no local maximum. Consider the function f(x) = 12x + 45x* - 360x3 + 4. f() has inflection points at (reading from left to right, rounded to two decimal places) x = D, E, and F where D is and E is and F is 2x + 7 Consider the function f(z) = 6x + 1 . For this function there are two important intervals: (- oo, A) and (A, co) where the function is not defined at A. Find A as an exact answer. Given the function f(x) = 14x + 15 For the following questions, state all your answers in interval notation. If you have more than one answer, separate your answers by commas . Reduce all fractions and radicals. Enter exact numbers. a.) State the intervals of increase. b.) State the intervals of decrease. c.) State the intervals of positive concavity. d.) State the intervals of negative concavity Question Help: Video R WAL-.. Consider the function f(z) = 16x + 15 9x + 19 For the following questions, express your answers in interval notation. Reduce all fractions and radicals. Separate your answers by commas. If the interval does not exist, enter DNE. a.) Determine where the function is increasing. b.) Determine where the function is decreasing. For the function f(z) = - 5(2 - 11) , find the intervals of increase and decrease. For the following questions, state all your answers in interval notation. If you have more than one answer, separate your answers by commas. Reduce all fractions and radicals. Enter exact numbers. If the interval does not exist, enter DNE. a.) Find the intervals of increase. b.) Find the intervals of decrease Question Heln. 157 vid-- . Caught error while evaluating the code in this question: syntax error, unexpected "x > 0" (T_CONSTANT_ENCAPSED_STRING), expecting "' Given the function f(x) = , find all intervals of concavity. For the following questions, state all your answers in interval notation. If you have more than one answer, separate your answers by commas. Reduce all fractions and radicals. Enter exact numbers. If the interval does not exist, enter DNE. a.) Find the intervals over which the function is concave up. b.) Find the intervals over which the function is concave down