0:-
Determine
the location and the values
of the absolute maximum
of the given
function
f(x)=(-x+2)⁴
Answers
Answered by
0
Answer:
Given f(x)=4x−
2
1
x
2
Take first derivative of the given function
f
′
(x)=4−x
Putting this equal to zero
f
′
(x)=4−x=0
⇒x=4
Now let's look at second derivative of the given function.
f
′′
(x)=−1 and as we can see, this is negative for all x; hence f(x) will have it's maxima at x=4.
Maximum value of the given function is
f(4)=4×4−
2
1
×4
2
=8
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