there is a function: F ( x, y, z) = 2ln (xz) + sin ( xyz) − y^2 = 0.(adsbygoogle = window.adsbygoogle || []).push({});

the func is defined by the closed function z=f(x,y) and provides : f(1,0)=1

we define: g(t)=f(t,1-t^6) . where t is very close to 1.

I have to find g'(1)

2. Relevant equations

I tried to to do like that: find F'x and F'z and did z'x =-(F'x/ F'z) and got -1. but from here I dont know what to do.

The answer is g'(1)=2.

Thanks for your help!

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# Calculus II - closed function question

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