Obtain derivative of function f(x) = 6 ln(4x) - 8^2; find value of derivative when x = 0.1

[Jeronameow]

hi im struggling to understand how to figure this out.

question is: Obtain the derivative of the function

f(x) = 6 ln (4x) - 8^2

and find the value ot this derivative when x = 0.1

Enter f'(0.1) correct to two decimal places :

 

[pka]

question is: Obtain the derivative of the function
f(x) = 6 ln (4x) - 8^2

I am answering the above.
\(\displaystyle f'(x)=\frac{6}{x}\).

 

[Dr.Peterson]

hi im struggling to understand how to figure this out.

question is: Obtain the derivative of the function

f(x) = 6 ln (4x) - 8^2

and find the value ot this derivative when x = 0.1

Enter f'(0.1) correct to two decimal places :

Please show us where you are having trouble, so we can actually help you. This is explained in the submission guidelines.

If you show your attempt, we can help you see what you did wrong. There are several possibilities.

 

[HallsofIvy]

hi im struggling to understand how to figure this out.

question is: Obtain the derivative of the function

f(x) = 6 ln (4x) - 8^2

"8^2" is an unusual way to write "64"! Is it possible you meant
"f(x)= 6 ln(4x)- 8x^2?

Do you know the derivative of ln(x)? What about the "chain rule"? Or write ln(4x)= ln(x)+ ln(4) and differentiate ln(x) and ln(4) (a constant) separately.

and find the value ot this derivative when x = 0.1

Enter f'(0.1) correct to two decimal places :