Petersson@feddit.org to 196@lemmy.blahaj.zone · 3 个月前power rulefeddit.orgimagemessage-square13linkfedilinkarrow-up1141arrow-down10
arrow-up1141arrow-down1imagepower rulefeddit.orgPetersson@feddit.org to 196@lemmy.blahaj.zone · 3 个月前message-square13linkfedilink
minus-squaregandalf_der_12te@lemmy.blahaj.zonelinkfedilinkarrow-up2·3 个月前proof: d/dx x^n = d/dx exp(ln(x^n)) = d/dx exp(n*ln(x)) = exp(n*ln(x)) * n / x = n * x^(n - 1) this assumes x > 0
minus-squarefloridaman@lemmy.blahaj.zonelinkfedilinkarrow-up1·3 个月前niche calc reference (calc is short for calculus btw)
d/dx x^n = n x^(n-1)
proof:
d/dx x^n = d/dx exp(ln(x^n)) = d/dx exp(n*ln(x)) = exp(n*ln(x)) * n / x = n * x^(n - 1)this assumes x > 0
niche calc reference (calc is short for calculus btw)