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ρ = e^θ
x = ρcosθ = e^θcosθ
y = ρsinθ = e^θsinθ
<x,y>|θ=π/2 = < 0,e^(π/2) >
dy/dx = [dy/dθ]/[dx/dθ] = [e^θsinθ + e^θcosθ]/[e^θcosθ-e^θsinθ]
dy/dx |θ=π/2 = -1
切线方程:
y - e^(π/2) = -1(x-0)
即:
y = -x + e^(π/2)
x = ρcosθ = e^θcosθ
y = ρsinθ = e^θsinθ
<x,y>|θ=π/2 = < 0,e^(π/2) >
dy/dx = [dy/dθ]/[dx/dθ] = [e^θsinθ + e^θcosθ]/[e^θcosθ-e^θsinθ]
dy/dx |θ=π/2 = -1
切线方程:
y - e^(π/2) = -1(x-0)
即:
y = -x + e^(π/2)
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