Implicit differentiation

[SSUP21]

"implicit differentiation"

if [x][3] * f(x) + [(f(x))][3] + f([x][3]) = 3 and f(1)= 2 find f'(1)

NEED HELP REVIEW QUESTION FROM EXAM REVIEW
DONT KNOW WHAT TO DO

 

[SSUP21]

x^3 * f(x) + (f(x))^3 + f(x^3) = 3
and f(1) = 2 find f'(1)

formating error in original post

 

[HallsofIvy]

Use "implicit differentiation": (x^3 f(x)+ (f(x))^3+ f(x^3))'= 3x^2f(x)+ x^3 f'(x)+ 3f(x)^2 f'(x)+ f'(x^3)(3x^2)= 0. Set x= 1 and solve for f'(1).

 

[68Pirate]

i have a derivative problem that reads 4/ ^5sqrt(x^5). I am not sure how to work the problem out.

 

[HallsofIvy]

1. Please don't hijack other peoples threads for new questions- start your own thread.
2. I have no idea what "4/ ^5" is supposed to mean.
3. sqrt(x^5)= x^5/4.