Question
Maximum of a Fourth-Degree Polynomial Find the maxi-mum value of the function$$f(x)=3+4 x^{2}-x^{4}$$[Hint: Let $\left.t=x^{2} .\right]$
Step 1
The derivative of a function gives us the slope of the tangent line at any point, which can be used to find local maximum and minimum values. The derivative of $f(x)$ is given by: $$ f'(x) = 8x - 4x^3 $$ Show more…
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