Mathematics, 23.08.2019 20:40 Battboi
How do i derive (x^-4) using the limit definition [f(x+h) - f(x) / h]
Answers: 1
![f'(x)=\lim\limits_{h\to0}\frac{f(x-h)-f(x)}{h}\\\\f(x)=x^{-4}=\frac{1}{x^4}\\\\f'(x)=\lim\limits_{h\to0}\frac{(x+h)^{-4}-x^{-4}}{h}=\lim\limits_{h\to0}\frac{\frac{1}{(x+h)^4}-\frac{1}{x^4}}{h}=\lim\limits_{h\to0}\frac{\frac{x^4-(x+h)^4}{x^4(x+h)^4}}{h}\\\\=\lim\limits_{h\to0}\left[\frac{x^4-x^4-4x^3h-6x^2h^2-4xh^3-h^4}{x^4(x+h)^4}\cdot\frac{1}{h}\right]=\lim\limits_{h\to0}\frac{-4x^3h-6x^2h^2-4xh^3-h^4}{hx^4(x+h)^4}](/tpl/images/0191/8866/6fee6.png)
Another question on Mathematics
Mathematics, 21.06.2019 21:00
Estimate the area under the curve f(x) = 16 - x^2 from x = 0 to x = 3 by using three inscribed (under the curve) rectangles. answer to the nearest integer.
Answers: 1
Mathematics, 21.06.2019 21:00
On average a herd of elephants travels 10 miles in 12 hours you can use that information to answer different questions drag each expression to show which is answers
Answers: 3
Mathematics, 21.06.2019 21:30
Joe has a rectangular chicken coop. the length of the coop is 4 feet less than twice the width. the area of the chicken coop is 510 square feet. what is the length of the chicken coup?
Answers: 3
Mathematics, 21.06.2019 22:30
My hour hand points between the 8 and the 9 in 35 minutes it will be the next hour. what time is it ?
Answers: 2
You know the right answer?
How do i derive (x^-4) using the limit definition [f(x+h) - f(x) / h]...
Questions
Mathematics, 30.01.2020 00:48
History, 30.01.2020 00:48
Mathematics, 30.01.2020 00:48
Physics, 30.01.2020 00:48
Health, 30.01.2020 00:48
Business, 30.01.2020 00:48
English, 30.01.2020 00:48
Mathematics, 30.01.2020 00:48
Geography, 30.01.2020 00:48
Mathematics, 30.01.2020 00:48
Mathematics, 30.01.2020 00:48
