1. Find dz/dt where z = x²y-xy³, x=t² and y=t² 2. Find the derivatives 2₁ and 2 where z= sin x cos 2y, x = s + t, a

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Find the derivative and reference thm 15.7 Chain Rule
1. Find dz/dt where z = x²y-xy³, x=t² and y=t²
2. Find the derivatives zs and z, where z= sin x cos 2y, x = s + t, and y=s-t
3. Given 2 sin xy = 1, evaluate dy/dx. Assume each equation implicitly defines y as a differentiable
function of x.
Transcribed Image Text:Find the derivative and reference thm 15.7 Chain Rule 1. Find dz/dt where z = x²y-xy³, x=t² and y=t² 2. Find the derivatives zs and z, where z= sin x cos 2y, x = s + t, and y=s-t 3. Given 2 sin xy = 1, evaluate dy/dx. Assume each equation implicitly defines y as a differentiable function of x.
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