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notsponge [240]
4 years ago
8

How to find the values of X

Mathematics
1 answer:
Aloiza [94]4 years ago
5 0

The cubic equation y=x^3-3x^2+1 can be differentiated to obtain a formula for the slope of any tangent line to the curve. 

Thid derivative is dy/dx = 3x^2-6x.

Since we're interested in finding x values at which the tangent line is horiz., we set this deriv. = to 0.  Factoring, 3x(x-2)=0.  Thus, x=0 and x=2.

You could verify this by graphing the original function on a graphing calculator.  Determine from your graph the x-values at which the tangent lines to the graph appear to be horiz.  
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What is the rate of change for the sequence shown below. (1,2) (2,2.5) (3,3) (4,3.5) (5,4)
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