SOLUTION: Please solve 1. Let m(x) be the slope of the tangent line to the curve y = x^3 - 2x^2 + x at the point (x,y). Find the instantaneous rate of change of m(x) with respect to x at th

Algebra ->  Functions -> SOLUTION: Please solve 1. Let m(x) be the slope of the tangent line to the curve y = x^3 - 2x^2 + x at the point (x,y). Find the instantaneous rate of change of m(x) with respect to x at th      Log On


   

Question 180825: Please solve
1. Let m(x) be the slope of the tangent line to the curve y = x^3 - 2x^2 + x at the point (x,y). Find the instantaneous rate of change of m(x) with respect to x at the point (2,2).
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Let m(x) be the slope of the tangent line to the curve y = x^3 - 2x^2 + x at the point (x,y). Find the instantaneous rate of change of m(x) with respect to x at the point (2,2).
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dy%2Fdx+=+3x%5E2+-+4x+%2B+1
@x = 2:
y' = 5 = slope

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let m(x) be the slope of the tangent line to the curve y = x^3 - 2x^2 + x at the point (x,y). Find the instantaneous rate of change of m(x) with respect to x at the point (2,2).
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Take the derivative to get:
m(x) = 3x^2 - 4x + 1
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Then slope at (2,2) = m(2) = 3*4 -4*2+1 = 5
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Cheers,
Stan H.