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(Solved): Consider the function f(x)=5x22x+4,0x7 The absolute maximum of f(x) (on the given interval ...



Consider the function \( f(x)=5 x^{2}-2 x+4,0 \leq x \leq 7 \) The absolute maximum of \( f(x) \) (on the given interval) is
Consider the function The absolute maximum of (on the given interval) is at and the absolute minimum of (on the given interval) is at Question Help: Video


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Given,   
Algorithm: First differentiate the given function and equate it to zero to find critical points.
Find the function value at critical points and end points and compare them to get the points at which maximum and minimum value occurs.


  
Simplify terms.
  

By the Sum Rule, the derivative of    with respect to    is   .
  

Since    is constant with respect to   , the derivative of    with respect to    is   .
  

Differentiate using the Power Rule which states that    is    where   .
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