U Course Home x b My Questions | bartleby Math 148 weekend number 2.pdf x 0148%20weekend%20number%202.pdf A| + %00 - | 8 / 9) Find h'(9) if h(x) = -2x/2 + x°/2 simplify your answer 10) Find the slope of the tangent line to the graph of y = x+ – 5x3 +2 when x=2 11) Find the equation of the tangent line to the graph in problem 10 when x=2.. Write the ec the tangent line in slope intercept form 12) Find all the values of x where the tangent line to y = 2x3 + 9x2 – 60x + 4 is horizonta horizontal lines have slope 0) %3D 13) Assume that the price, in dollars, of a sound system is given by 00 0 =Dd zb Where q represents the quantity demanded for the product a) Find the Revenue function R(q) and the marginal revenue function R'(q) b) Find an interpret (write a sentence explaining the meaning) of the marginal revenue whe 10 systems Suppose the cost of producing q sound systems is given by the equation C(q) = 0.4q2 + 16 c) Find the profit function, P(q) and the marginal profit function P'(q) dLFind andinternret he marginaLorofit when the demand is 10 svstems b My Questions | bartleby Course Home Math 148 weekend number 2.pdf X 48%20weekend%20number%202.pdf HI + %00 Derivative rules 1. If f (x) = c where c is a constant then f'(x) = 0 2. If f(x) = x then f'(x) = 1 3. If f (x) = x" then f'(x) 4. If f(x) = k g (x) where k is a constant, then f'(x) = k g'(x) %3D I-uxu %3D %3D – (x),J = (x),4 1o (x),6 + (x),J = (x),4 (x)6 – (x)/ = (x)4 10 (x)6 + (x)/ = (x)4 H %3D (x)6 We also know that the derivative a) Represents the instantaneous rate of change of f(x) b) Represents the slope of the tangent line for f(x) c) Represents the marginal revenue, marginal profit and marginal cost. Marginal analysis is the rate of change of each of these values in particular this is approximately the cost, profit or revenue of one more unit (either sold or made) Complete these problems In problems 1-9, differentiate (find the derivative) of the given function 1) f (x) = 2 –x 3. %3D 1 + ,1ɛ – ,1 = (1) (2 2. == (x)4 () 3.5 4) f (x) = 10x³5 - 6x05 %3D L^ ++- = - 7x2 9. 6) Find f' (3) if f(x): 6. 7) g(x) = (3 + x)2 hint: multiply out first %3D = (x)4(8 you take the derivative hint: Divide each term in the numerator by the denominator and simplify before %3D 54°F Cloudy