Please solve, make sure to get step 3, thanks so much! Find the slope of the tangent line to the graph of the function at the given point.g(x) = 14 - x; (2, 10)Step 1Apply the Definition of Tangent Line with slope m,(c + Ax) – f(c)m%3DlimAxAx-0to the given function f(x) = g(x) = 14 x and c 2.%3DAt x = 2, g(2) = 1010the coordinates of (x, g(x)) are (2, 1010 ).Step 2Substitute c = 2 in the formula for slope as follows.2 + Ax) -g2)m = limAx-0AxStep 3At x = 2 + Ax, the value of the function is g(2 + Ax)= 14 - (+ Ax)Hence,(14-(2+ Ax))-1m = limAx-0Ar

Use. Slope formula for finding the value

Find the slope of the tangent line to the graph of the function at the given point. g(x) = 14 – x; (2, 10) Step 1 Apply the Definition of Tangent Line with slope m, fc + Ax)- (c) m%3D lim Ax Ax - 0 to the given function f(x) = g(x) = 14 x and c 2. %3D At x = 2, g(2) = 10 10 the coordinates of (x, g(x)) are (2, 10 10 ). Step 2 Substitute c = 2 in the formula for slope as follows. + Ax) - g ( 2) m = lim Ax-0 Ax Step 3 At x 2 + Ax, the value of the function is g(2 + Ax) 14 - ( + Ax) Hence, (14 - (2+ Ax))-C m = lim Ax-0 Ax

Find the slope of the tangent line to the graph of the function at the given point. g(x) = 14 – x; (2, 10) Step 1 Apply the Definition of Tangent Line with slope m, fc + Ax)- (c) m%3D lim Ax Ax - 0 to the given function f(x) = g(x) = 14 x and c 2. %3D At x = 2, g(2) = 10 10 the coordinates of (x, g(x)) are (2, 10 10 ). Step 2 Substitute c = 2 in the formula for slope as follows. + Ax) - g ( 2) m = lim Ax-0 Ax Step 3 At x 2 + Ax, the value of the function is g(2 + Ax) 14 - ( + Ax) Hence, (14 - (2+ Ax))-C m = lim Ax-0 Ax

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.2: Domain And Range

Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...

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bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item. b.What is the cost of making 25 items? c.Suppose the maximum cost allowed is SI500. What are the domain and range of the cost function, C(x) ?

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