Question

The function f(x)=2x^3 - 15x² + 36x +4 is maximum at​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

HI DEAR,

TO FIND THE MAXIMUM VALUE OF A FUNCTION..

1. FIRST DIFFERENTIATE THE GIVEN FUNCTION,

2. THEN, PUT IT EQUAL TO ZERO.

3. SOME VALUES ARE OBTAINED.

4. NOW DIFFERENTIATE THE FUNTION AGAIN TO HAVE THE CONDITION THAT THE FUNCTION CAN HAVE MAX AND MIN VALUES OR NOT.

5. AFTER DOUBLE DIFFERENTIATION .. IF THE ANSWER IS POSITIVE , THEN IT SAYS MIN VALUE IS POSSIBLE AND IF NEGATIVE ANSWER IS THERE , SO THE MAX VALUE IS POSSIBLE.

6. FINALLY, MAX AND MIN VALUES ARE FOUND BY PUTTING THE VALUES OBTAINED IN 3RD POINT IN THE ORIGINAL EQUATION.

dy/dx = 6x^2-15x+36

x= 15±√-639/12

AT 15+√-639/12 , the maximum value occurs..

further to find out the value , put it in the original equation..

hope it helps...

MARK AS BRAINLIEST..