MHB Is the Derivative of f(x)=1/x^3 Correctly Calculated as -3/x^4?

[DeusAbscondus]

Hello folks,
I simply wish to confirm that the following is correct:

If $f(x)=\frac{1}{x^3}$ then $f'(x)=-\frac{3}{x^{4}}$

Thanks kindly,
DeusAbs

PS Does this most basic of questions properly belong elsewhere; if so, please tell me somone. Perhaps in pre-calculus?

 

[earboth]

Hello folks,
I simply wish to confirm that the following is correct:

If $f(x)=\frac{1}{x^3}$ then $f'(x)=-\frac{3}{x^{4}}$

Thanks kindly,
DeusAbs

PS Does this most basic of questions properly belong elsewhere; if so, please tell me somone. Perhaps in pre-calculus?

Correct! (Clapping)

 

[Prove It]

Hello folks,
I simply wish to confirm that the following is correct:

If $f(x)=\frac{1}{x^3}$ then $f'(x)=-\frac{3}{x^{4}}$

Thanks kindly,
DeusAbs

PS Does this most basic of questions properly belong elsewhere; if so, please tell me somone. Perhaps in pre-calculus?

Any questions on differentiation belong in the Calculus forum.