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Section 2.4: Problem 11 (1 point) Previous Problem Problem List Next Problem Let f(x) = Then, f'(I) = 5x- - 3 .2 Preview My Answers Submit AnswersSection 2.4: Problem 12 (1 point) Previous Problem Problem List Next Problem Differentiate f(x) = tan(x )7 sin(x) + 6 cos(x)). f'(z) = 14 tanx + 7 sin x tan-x + 6 cosx Preview My Answers Submit AnswersSection 2.4: Problem 14 (1 point) Previous Problem Problem List Next Problem Find an equation of the line that is tangent to the curve y = 4x COS I at the point (7, -4n). The equation of this tangent line can be written in the form y = ma + b where m = -4 and b = -4x Note: You can earn partial credit on this problem. Preview My Answers Submit AnswersSection 2.4: Problem 16 (1 point) Previous Problem Problem List Next Problem Note: You can click on the graph to obtain a larger version in a new browser window. The graphs of the function f (given in blue) and g (given in red) are plotted above. Suppose that u(x) = f(x)g(x) and v(x) = f(x)/g(x). Find each of the following: u'(1) = 2 v'(1) =Section 2.4: Problem 16 (1 point) X Previous Problem Problem List Next Problem 6 Note: You can click on the graph to obtain a larger vel The graphs of the function f (given in blue) and g (given i )g(x) and v(z) = f(z)/g(x). Find each of the following: u'(1) = v'(1) = -1 1:0 -1Section 2.4: Problem 2 (1 point) Previous Problem Problem List Next Problem 5 Find the derivative of f(x) = 4x + 2 -1 f'(x) = (2x + 1)2 Preview My Answers Submit Answers You have attempted this problem 3 times. Your overall recorded score is 0%. You have unlimited attempts remaining. Email InstructorProblem 15 v Problem 16 At least one of the answers above is NOT correct. Problem 17 V The position of a particle moving on a horizontal line (where s is in feet to the right of a fixed reference point and t is in seconds after the start of the observation) is Problem 18 v Problem 19 V s(t) = t* - 12t + 24, t 2 0. Problem 20 Problem 21 / (A) Find the velocity, in feet per second, at time t: v(t) = 4t - 12 Problem 22 V Problem 23 v (B) Find the velocity (in ft/sec) of the particle at time t = 3. 96 Problem 24 V (C) Find all values of t for which the particle is at rest. (If there are no such values, enter none . If there are more than one value, list them separated by commas.) Problem 25 V t = Problem 26 3 Problem 27 Problem 28 (D) Use interval notation to indicate when the particle is moving in the positive direction. (If needed, enter inf for co. If the particle is never moving in the positive direction, enter none .) (38 , 20 (E) Find the total distance (in feet) traveled during the first 8 seconds. 31808 5Section 2.4: Problem 8 (1 point) Previous Problem Problem List Next Problem Let f(x) = -7asin(x) + cos()). Find the following: 1. f'(x) = -7 (sin x + cosx ) + x(cosx - sin x 2. f'()= 12.24 Note: You can earn partial credit on this