Question
If $y=f(x)$ is represented as $x=g(0)=r^{5}-5 r^{3}-20 r$ $+7$ and $y=h(t)=4 r^{3}-3 r^{2}-18 t+3(-2<t<2)$then max $f(x)-9$ is equal to
Step 1
To do this, we find the derivative of $g(t)$, which is $g'(t)=5t^{4}-15t^{2}-20$. However, in the interval $-2<t<2$, this derivative is never equal to zero, so $g(t)$ does not have any extrema in this interval. Show more…
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