Question

function f(x)=3x(x-2) has maximum value at​

Answer 1

Answer:

you can do this by 2 method

method 1:

in quadratic equation,

at -D/4a we get maxima

so ans is at x=1

equation is maximum

method 2 :

you can use differentiation

Answer 2

The function will not have a particular maximum value

Given

• f(x)=3x(x-2)

To find

• maximum value

Solution

we are provided with a function and are asked to find the maximum value of the function at some point for x.

This could be found by taking the first and second derivative of the function and substituting the value of x obtained in the first derivative to the second derivative and then identifying it as whether if it is maximum or minimum

taking the first derivative of the function,

f(x) = 3x^2 - 6x

f'(x) = 6x - 6

making the first derivative equal into zero

6x -6 =0

or, 6x = 6

or, x = 1

taking the second derivative of the function to identify if maximum or minimum,

f''(x) = 6

therefore for all value of x, the function will only have minimum value.

Therefore, the function will not have a particular maximum value