MTH 171 Lecture Notes - Lecture 14: Logarithm
Document Summary
Provide a generalization to each of the key terms listed in this section. x e. = 2 d dx (cid:2)2e3x(cid:3) dx (cid:0)e3x(cid:1) du (eu) d. = d d dx (cid:2)exx(cid:3) du (cid:0)exx(cid:1) d du (eu) d. = eu( d du (cid:0)ex ln(x)(cid:1) d ( d du (eu) d. = exx dx (x ln (x))) dx (x ln (x))) = exx (ex ln(x) (ln (x) + 1)) = exx xx (ln (x) + 1) d dx. 1 u (cid:18) du dx(cid:19) = u u d dx (cid:2)ln(cid:0) x. 3(cid:1) dx (cid:0) x du (ln (u)) d. = 1 x logba = c bc = a. Example logb (m n ) = logb (m ) + logb (n ) logb(cid:18) m. N (cid:19) = logb (m ) logb (n ) logb(cid:0)m k(cid:1) = k logb (m ) = klogb (m ) logba = logba = log (a) log (b) ln (a) ln (b) d dx [log27x]
