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For what values of x is the tangent line of the graph of f(x) = 8x^3 - 48x^2 + 70x + 96 parallel to the line y = 1.6 - 2x? (If there are multiple values then separate them with commas.) x =

          For what values of x is the tangent line of the graph of
f(x) = 8x^3 - 48x^2 + 70x + 96
parallel to the line y = 1.6 - 2x?
(If there are multiple values then separate them with commas.)
x =
        
For what values of x is the tangent line of the graph of
f(x) = 8x^3 - 48x^2 + 70x + 96
parallel to the line y = 1.6 - 2x?
(If there are multiple values then separate them with commas.)
x =

Added by Deborah A.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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For what values of x is the tangent line of the graph of f(x)=8x^(3)-48x^(2)+70x+96 parallel to the line y=1.6-2x? (If there are multiple values then separate them with commas.) x= For what values of x is the tangent line of the graph of K fx=8x3-48x2+70x+96 parallel to the line y=1.6-2 (If there are multiple values then separate them with commas.)
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Transcript

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00:01 Hi there, we are given two curves, y is equal to x raised to the part 7 and y is equal to x raised to the part 8.
00:08 And we want to find the values of x for which their tangent lines are parallel.
00:14 To do so, we first calculate the derivatives.
00:18 So, dy divided by d x would be equal to d divided by d x of x raised to the part 7.
00:29 Now since d divided by d x of x raised to the part n is equal to n multiplied by x raised to the part n minus 1, we get this to be equal to 7 multiplied by 7 minus 1 which is equal to 7 multiplied by x raised to the part 6.
00:54 And similarly for this function we have dy divided 2.
00:59 By dx is equal to t divided by d x of x raised to the part 8 which will be equal to 8 multiplied by x raised to the part 8 minus 1 which is equal to 8 multiplied by x raised to the par 7...
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