Question:
Find the slope of the tangent to the curve y = (x - 1)/(x - 2) , x = 10, x ≠ 2
Answer:
Given, y = (x - 1)/(x - 2)
Now, differentiate w.r.t. x, we get
dy/dx = -1/(x - 2)2
Put x = 10, we get
dy/dx = -1/(10 - 2)2
=> dy/dx = -1/82
=> dy/dx = -1/64
So, the slope of the curve is -1/64
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