a) Show that the point( 0,1) is on the curve y=[e^(-x/2)]*cos(x) b) Find the equation of the tangent line to the curve at the point (0,1).?

2015-10-31 12:59 am
更新1:

a) Show that the point( 0,1) is on the curve y=[e^(-x/2)]*cos(x) b) Find the equation of the tangent line to the curve y=[e^(-x/2)]*cos(x) at the point (0,1).

回答 (1)

2015-10-31 5:49 am
✔ 最佳答案
Sol
(1)
e^0*Cos0=1
(2)
y=e^(--x/2)Cosx
y’=-e^(x/2)Sinx-(1/2)e^(-x/2)Cosx
y’(0)=-(1/2)e^0*Cos0=1/2
y-1=(1/2)(x-0)
2y-2=x
x-2y+2=0


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