U Course Homex b My Questions | bartlebyMath 148 weekend number 2.pdf x0148%20weekend%20number%202.pdfA| + %00 - | 8 /9) Find h'(9) if h(x) = -2x/2 + x°/2 simplify your answer10) Find the slope of the tangent line to the graph of y = x+ – 5x3 +2 when x=211) Find the equation of the tangent line to the graph in problem 10 when x=2.. Write the ecthe tangent line in slope intercept form12) Find all the values of x where the tangent line to y = 2x3 + 9x2 – 60x + 4 is horizontahorizontal lines have slope 0)%3D13) Assume that the price, in dollars, of a sound system is given by00 0=DdzbWhere q represents the quantity demanded for the producta) 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 whe10 systemsSuppose the cost of producing q sound systems is given by the equation C(q) = 0.4q2 + 16c) 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 | bartlebyCourse HomeMath 148 weekend number 2.pdf X48%20weekend%20number%202.pdfHI + %00Derivative rules1. If f (x) = c where c is a constant then f'(x) = 02. If f(x) = x then f'(x) = 13. 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)%3DI-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)6We also know that the derivativea) 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 therate of change of each of these values in particular this is approximately the cost, profit orrevenue of one more unit (either sold or made)Complete these problemsIn problems 1-9, differentiate (find the derivative) of the given function1) f (x) = 2 –x3.%3D1 + ,1ɛ – ,1 = (1) (22.== (x)4 ()3.54) f (x) = 10x³5 - 6x05%3DL^ ++-= - 7x29.6) Find f' (3) if f(x):6.7) g(x) = (3 + x)2 hint: multiply out first%3D= (x)4(8you take the derivativehint: Divide each term in the numerator by the denominator and simplify before%3D54°F Cloudy

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U Course Homex b My Questions | bartlebyMath 148 weekend number 2.pdf x0148%20weekend%20number%202.pdfA| + %00 - | 8 /9) Find h'(9) if h(x) = -2x/2 + x°/2 simplify your answer10) Find the slope of the tangent line to the graph of y = x+ – 5x3 +2 when x=211) Find the equation of the tangent line to the graph in problem 10 when x=2.. Write the ecthe tangent line in slope intercept form12) Find all the values of x where the tangent line to y = 2x3 + 9x2 – 60x + 4 is horizontahorizontal lines have slope 0)%3D13) Assume that the price, in dollars, of a sound system is given by00 0=DdzbWhere q represents the quantity demanded for the producta) 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 whe10 systemsSuppose the cost of producing q sound systems is given by the equation C(q) = 0.4q2 + 16c) 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 | bartlebyCourse HomeMath 148 weekend number 2.pdf X48%20weekend%20number%202.pdfHI + %00Derivative rules1. If f (x) = c where c is a constant then f'(x) = 02. If f(x) = x then f'(x) = 13. If f (x) = x&#34; then f'(x)4. If f(x) = k g (x) where k is a constant, then f'(x) = k g'(x)%3DI-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)6We also know that the derivativea) 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 therate of change of each of these values in particular this is approximately the cost, profit orrevenue of one more unit (either sold or made)Complete these problemsIn problems 1-9, differentiate (find the derivative) of the given function1) f (x) = 2 –x3.%3D1 + ,1ɛ – ,1 = (1) (22.== (x)4 ()3.54) f (x) = 10x³5 - 6x05%3DL^ ++-= - 7x29.6) Find f' (3) if f(x):6.7) g(x) = (3 + x)2 hint: multiply out first%3D= (x)4(8you take the derivativehint: Divide each term in the numerator by the denominator and simplify before%3D54°F Cloudy

Accepted Answer

In multiple question we are allowed to answer only first one .and in multiple part question the…