The point P( 1/5 , 10 ) lies on the curve y = 2 / x . If Q is the point (x, 2 / x ) , find the slope of the secant line PQ for the following values of x .
If x= 0.3 , the slope of PQ is:
and if x= 0.21 , the slope of PQ is:
and if x= 0.1 , the slope of PQ is:
and if x= 0.19 , the slope of PQ is:
Based on the above results, guess the slope of the tangent line to the curve at P(0.2 , 10 ) .
If x= 0.3 , the slope of PQ is:
and if x= 0.21 , the slope of PQ is:
and if x= 0.1 , the slope of PQ is:
and if x= 0.19 , the slope of PQ is:
Based on the above results, guess the slope of the tangent line to the curve at P(0.2 , 10 ) .
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d/dx [2/x] = -2/x²
Use the derivative to find the slope of the tangent line at the various points.
Use the derivative to find the slope of the tangent line at the various points.