求导:x=cos^4*t,y=sin^4*t,求dy/dx

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求导:x=cos^4*t,y=sin^4*t,求dy/dx
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求导:x=cos^4*t,y=sin^4*t,求dy/dx
求导:x=cos^4*t,y=sin^4*t,求dy/dx

求导:x=cos^4*t,y=sin^4*t,求dy/dx
dx/dt= 4(cost)^3 *(cost)'
dy/dt=4(sint)^3 *(sint)'

(cost)'= -sint
(sint)'=cost
于是
dy/dx
=(dy/dt) /(dx/dt)
=4(cost)^3 *(-sint) / [4(sint)^3 *cost]
= -(cot t)^2

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