Mathematics, 19.08.2019 10:30 James300102
How do you find the derivative of y=tan(x)y=tan(x) using first principle?
Answers: 2
![y=tanx\\\\y'=\lim\limits_{h\to0}\frac{tan(x+h)-tanx}{h}=\lim\limits_{h\to0}\frac{1}{h}\left(\frac{sin(x+h)}{cos(x+h)}-\frac{sinx}{cosx}\right)\\\\=\lim\limits_{h\to0}\frac{1}{h}\left(\frac{sin(x+h)cosx-sinxcos(x+h)}{cosxcos(x+h)}\right)=\lim\limits_{h\to0}\frac{sin(x+h-x)}{hcosxcos(x+h)}\\\\=\lim\limits_{h\to0}\frac{sinh}{hcosxcos(x+h)}=\left[\frac{0}{0}\right]\xrightarrow{l'Hopital's\ rule}\lim\limits_{h\to0}\frac{cosh}{cosxcos(x+h)+hcosx[-sin(x+h)]}\\\\=\frac{cos0}{cosxcos(x+0)}=\frac{1}{cos^2x}](/tpl/images/0178/4878/7aa9a.png)
Another question on Mathematics
Mathematics, 21.06.2019 17:30
Adriver from the university of florida women’s swimming and diving team is competing in the in ncaa zone b championships
Answers: 3
Mathematics, 21.06.2019 19:00
Daniel expanded the expression as shown below -2(-8x-4y+3/4)=-10x-8y-11/4 what errors did he make? check all that apply
Answers: 3
Mathematics, 21.06.2019 19:30
Select the margin of error that corresponds to the sample mean that corresponds to each population: a population mean of 360, a standard deviation of 4, and a margin of error of 2.5%
Answers: 2
You know the right answer?
How do you find the derivative of y=tan(x)y=tan(x) using first principle?...
Questions
Social Studies, 11.07.2019 01:40
Mathematics, 11.07.2019 01:40
Mathematics, 11.07.2019 01:40
Mathematics, 11.07.2019 01:40
Biology, 11.07.2019 01:40
Mathematics, 11.07.2019 01:40
Biology, 11.07.2019 01:40
Mathematics, 11.07.2019 01:40
