Question

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

Functions
ANSWERED
asked 2021-05-22
The function \(f(x)=4-7x^{4}\) has an absolute maximum value of ? and this occurs at x equals ?

Answers (1)

2021-05-23

Given,
\(f(x)=4-7x^{4}\)
\(\Rightarrow f'(x)=0-7 \cdot 4x^{3}=-28x^{3}\)
Now f'(x)=0
\(\Rightarrow -28x^{3}=0\Rightarrow x=0\)
Step 2
Therefore absolute maximum value occurs at \(x = 0\) and absolute maximum value is,
\(f(0)=4-7(0)^{4}=4\)
Hence absolute maximum value is 4 and this occurs at \(x = 0\).

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