- #1
tachyon_man
- 50
- 0
Prove that:
d/dx x^-n = -nx^-n-1
Use the factorization of a difference of nth powers given in this section (not using quotient rule)
My attempt gets me from the definition of the derivative to (1/n^(n-1)) n times... I need the negative. I get nx^(-n-1) instead of -nx^(n-1).
d/dx x^-n = -nx^-n-1
Use the factorization of a difference of nth powers given in this section (not using quotient rule)
My attempt gets me from the definition of the derivative to (1/n^(n-1)) n times... I need the negative. I get nx^(-n-1) instead of -nx^(n-1).