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Differentiation

The curve C has equation:
y=(x+1)(x-1)^2/x2, x>0

Find an equation of the tangent to C at the point where x = 2
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Original post by freddiek69
The curve C has equation:
y=(x+1)(x-1)^2/x2, x>0

Find an equation of the tangent to C at the point where x = 2


First you need to find the value of the y coordinate at the point where x=2.

Since you are given y as a function of x, you can find the derivative with respect to x. So you should find an expression for dy/dx.

Finally find the gradient at the point where x=2 by substituting this into the derivative expression as this would be the gradient of the tangent. You can now find an equation of the tangent at C as you know a point that lies on the line and its gradient.

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