# The function f(x) = 4 - 7x^4 has an absolute maximum value of ? and this occurs at x equals ?

The function $f\left(x\right)=4-7{x}^{4}$ has an absolute maximum value of ? and this occurs at x equals ?
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Given,
$f\left(x\right)=4-7{x}^{4}$
$⇒{f}^{\prime }\left(x\right)=0-7\cdot 4{x}^{3}=-28{x}^{3}$
Now f'(x)=0
$⇒-28{x}^{3}=0⇒x=0$
Step 2
Therefore absolute maximum value occurs at x = 0 and absolute maximum value is,
$f\left(0\right)=4-7{\left(0\right)}^{4}=4$
Hence absolute maximum value is 4 and this occurs at x = 0.
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