Logarithmic differentiation means tAke logarithm of both sides to make the function easier to find the derivative.
y = (sinx)^lnx
ln(y) = ln((sinx)^lnx)
power rule logarithm
ln(y) = ln(x) ln(sinx)
Take derivative
y'/y = ln(sinx)(1/x) + ln(x) cosx/sinx
multiply both sides by y
y' = y( ln(sinx)/x + ln(x)cotx )
remember y = (sinx)^lnx
sub this in for y
y' = (ln(sinx)/x + ln(x)cotx)(sinx)^lnx
Answer:
60 percent.
Step-by-step explanation:
Answer:
56+8√2=8(7+√2)
Step-by-step explanation:
1. P= AB+BC+CD+DE+EF+FG+GA
2. AB=DC=12
BC=16
AG=ED=4
AG+ED+GE=16
4+4+GE=16
GE=16-8
GE=8
GF²= EF²+GE²
GF²=64+64
GF²=128
GF=8√2
3.P= 12+16+12+4+8+8√2+4= 56+8√2
Answer:
48
Step-by-step explanation:
if 5 students out of 60 choose enchiladas we can calculate the percentage of students who chose enchiladas. We get 8.33% So in order to find the no. of Students who would choose enchiladas out of 576 students, we simply have to multiply 8.33% with 576. we would get 47.98. As people's no. cannot be in decimal we have to change it to whole number which is 48 out of 576.
Answer:
5x2 + 5x -1
Step-by-step explanation:
jus multiply 3x to 2x because there to the same power. it becomes a postive and you leave the rest.