Question

find maximum of( x-3)^4 (4-x)^5 using A.M G.M​

Answer 1

Answer:

Points where derivative of the function is equal to zero are either maxima or minima since it is a continuous function.

putting derivative = 0 , we get  

(4×−1×{7−x}  

3

×{2+x}  

5

)+(5×{7−x}  

4

{2+x}  

4

)=0.

or , 5{7−x}=4{2+x} since x∈(−2,7) so {x+2}



=0  &  {7−x}



=0.

Therefore 9x=27    or ,   x=3.

Hence the maximum value will be (7−3)  

4

(2+3)  

5

 or 8×10  

5

.

Step-by-step explanation:

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