求解 这道高数题怎么做？
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x=e^t.cost
x(3π/4) = -(√2/2)e^(3π/4)
dx/dt = (cost - sint )e^t
y=e^t.sint
y(3π/4) = (√2/2)e^(3π/4)
dy/dt = ( sint+cost) e^t
dy/dx
=(dy/dt)/(dx/dt)
=( sint+cost) /(cost - sint )
dy/dx| t=3π/4
=0
切线方程; t=3π/4
y- (√2/2)e^(3π/4) =0
x(3π/4) = -(√2/2)e^(3π/4)
dx/dt = (cost - sint )e^t
y=e^t.sint
y(3π/4) = (√2/2)e^(3π/4)
dy/dt = ( sint+cost) e^t
dy/dx
=(dy/dt)/(dx/dt)
=( sint+cost) /(cost - sint )
dy/dx| t=3π/4
=0
切线方程; t=3π/4
y- (√2/2)e^(3π/4) =0
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