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:
estimate the line of best fit using two points on the line.(2,64),(6,32)
Step-by-step explanation:
Answer: There are 175 pages in the book.
Step-by-step explanation:
If Elena read 20 more pages than Andre and she read 55 pages, to find out how much Andre read you have to:
55-20= the pages Andre read
55-20=35
Andre read 35 pages.
If Andre read 1/5 of the book, then to find how many pages are in the book, you have to multiply 35 x 5. (Multiply by the reciprocal)
35 x 5= 175
There are 175 pages in the book.
Answer:
Step-by-step explanation:
4 hours × (¼ in)/hour = 1 in
6 hours × (½ in)/hour = 3 in
Total snowfall over ten hours = 1 + 3 = 4 in
