(5 points) For the function y = 5x2: (a) Find the average rate of change of...
Find the average rate of change for the following function. f(x) = 4x3 – 5x2 + 7 between x = - 2 and x = 3 The average rate of change for f(x) over the interval - 2 to 3 is (Type an integer or a simplified fraction.)
Find the average rate of change for the following function. f(x) = 4x3 - 5x2 +6 between x = -2 and x = 1 The average rate of change for f(x) over the interval - 2 to 1 is (Type an integer or a simplified fraction.)
10. For the following, circle the correct answer (a) (1 point) The derivative of f at a, written f(a), is the (average/instantaneous) rate of change of f at the point a (b) (1 point) If f'(x) < 0 on an interval then f(x) İs (increasing/decreasing/constant) on the interval. (c) (1 point) If f"(x)0 on an interval then f(x) is concave (up/down) on the interval. (d) (1 point) If f"(x)< 0 on an interval then f'() is (increasing/decreasing) on the interval....
Consider the following function. f(x) = x2 + 5x − 6 Find the average rate of change of the function over the interval [0, 1]. Change in y/change in x = Compare this rate with the instantaneous rates of change at the endpoints of the interval. f'(0) = f '(1) = Find the marginal cost for producing x units. (The cost is measured in dollars.) C = 455 + 6.75x2/3 dC/dx = dollars per unit
1b and 5 show all steps please a) Determine the average rate of change in W with respect to v over 12,5 b) Determine the instantancous rate of change in W with respect to vat v- 2)Given r(s)"i12 determine fix) by definition x+2 3. Given: y6x Find 3b.Determine the equation of the line tangent to yat x 2 4:) Using implicit differentiationdetermine da db: 6a26-2d-F 4b) Find d'yd 3x-tan 5. A roast turkey is taken from an oven when its...
Find the equation of the tangent line to the curve when x has the given value. 7) f(x) = 4,x=5 8) f(x) = }x=3 11) Solve the problem. 11) The profit in dollars from the sale of thousand compact disc players is P(x) = x3 - 5x2 + 3x + 8. Find the marginal profit when the value of x is 6. 12) 12) Ir the price of a product is given by Px) E 1200, where x represents the...
Consider the following function. f(t)4t5 Find its average rate of change over the interval [1, 4] At Compare this rate with the instantaneous rates of change at the endpoints of the interval f(4) Need Help? Read It Watch It Talk to a Tutor Consider the following function f(x)x18x 2 Find its average rate of change over the interval [-9, 1]. Ay Ax Compare this rate with the instantaneous rates of change at the endpoints of the interval f-9) f(1) Need...
4) (5 points) Use the definition of the differentiation to find the derivative of f(x) x2 +3x. 4) (5 points) Use the definition of the differentiation to find the derivative of f(x) x2 +3x.
Let f(x) = 3x3 - 24 - 1 Use the limit definition of the derivative to calculate the derivative of f: f'(x) = Use the same formula from above to calculate the derivative of this new function (i.e. the second derivative of f): f''(x) =