Calculus (Tangents to curves)

2011-11-24 3:22 am
The equation of the tangent to a curve y=u(x) at x=a is y=(-2a+4)(x-a)+k, where k is a constant. Given that the curve touches the x-axis at x=2, find the value of k.

回答 (1)

2011-11-24 8:24 am
✔ 最佳答案
As the equation of tangent to the curve at x = a is given by y = (-2a + 4)(x - a) + k

As the curve touches the x-axis at x = 2,

So, at x = 2, equation of tangent: y = (-2(2) + 4)(x - 2) + k = 0

So, k = 0
參考: Prof. Physics


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