Average Cost for Producing MP3s The average cost (in dollars) incurred by a media company each week in pressing x compact discs is given by the following equation 2000 0.000 1x 2 C(x) (0 x s 6000) X Show that C(x) is always decreasing over the interval (0, 6000) Find C'(x) C'(x) Since C'(x) ? 0 for all values of x, C(x) is always ---Select---- . Need Help? Read It Talk to a Tutor

Q: Find the derivative of the function G(x) 1 + 2x3 – x2 + 5.3x + /10.

A: GIVEN:   G(x) = 12x4 + 2x3 - x2 + 5.3x + 10

Q: Find the first derivative for the following function. Vx4 – 3 (2х — 5)"] f(x) = ln (2x-5)7 Vx4-3 2x3…

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Q: 7 -7 Use the fact that the derivative of the function f(x)= is f'(x) = - to find the equation of the…

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Q: You are given the following equation & information.  ln (1+y) - ln y = ln (x3 + 1) - 2 ln (x - 1)…

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Q: 8/7 Find g'(x) for g(x)=x g'(x) =

A: The given function is

Q: Differentiate the function. g(x) = x2 - 5x + 19 g'(x) = %3D

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Q: Differentiate. F(x) = (7x2 - 6x)e* f'(x) =

A: According to question given:f(x)=7x2-6xexWe have to calculate f'(x)

Q: f(x) = x/(5x-1)2 f '(0) = _________

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Q: Use the Product Rule to find the derivative of the function. g(x) = (x² – 6x + 7)(x³ – 1) g'(x) =

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Q: a) Find and locate local extreme values off(x) = (x+ 1)^4−4x−2, (b) Then find the intervals of…

A: Given,            f(x) = (x+1)4 − 4x − 2

Q: f(x+0.0001)-f(x) Use 0.0001 f(x) = -3x² 6x at x = -5.9 6.1 -6 6 4 to determine the instantaneous…

A: Sol:- To find Instantaneous rate of change of  f(x)= -3x2-6x  at x =-2 We have to use the following…

Q: f(x) = log,(x² – x + 3)

A: Given: f(x)=log4(x2−x+3)

Q: Find the derivative of each function. 1 (a) [4 points] f(x) = 3ª - X

A: Formulas used: ddxxn=nxn-1ddxlnx=1xddxconstant=0ddxax=axlnaProduct rule of…