Mathematics, 26.08.2019 12:30 sugar1014

Find the derivative of f(x) = negative 3 divided by x at x = -4.

Answers: 1

Show answers

Answers

Answer from: iamPaola

$\frac{3}{16}$

Step-by-step explanation:

Hello, I think I can help you with this

let's remember

$\frac{1}{x^{n} } =x^{-n} \\and\\\frac{dy}{dx} x^{n}=nx^{n-1}$

Let

$f(x)=-\frac{3}{x} \\f(x)=y\\y=-\frac{3}{x} \\$

Step 1

derive

derivative of f(x)=derivative of y=y'

$y=-\frac{3}{x}\\y=-3*x^{-1}\\ y'=-3(-1x^{-1-1})\\ y'=-3(-1x^{-2})\\y'=3x^{-2}\\ y'=\frac{3}{x^{2}}$

Step 2

fin y'(-4)

Put the value of -4 in the equation

$y'=\frac{3}{x^{2}}\\ y'(-4)=\frac{3}{(-4)^{2}}\\y'(-4)=\frac{3}{16}$

Have a great day

Answer from: Quest

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

Answer from: Quest

answer: 30

step-by-step explanation: its 30 because im a basketball player and stephen curry hits most of his shots so if you put 30 you might make the shot goodluck

Another question on Mathematics

Mathematics, 21.06.2019 16:00

You are cycling around europe with friends. a cycling festival is starting soon in barcelona. it will take 4.5 hours to cycle there. how many minutes in total is this?

Answers: 1

Answer

Mathematics, 21.06.2019 21:40

Ineed your ! i was to turn this into pond first thing i gotta do is outline the inside with this plastic how big should i cut the plastic the height: 10 1/2” the length: 40” the width: 12” me !

Answers: 1

Answer

Mathematics, 21.06.2019 22:00

If you have 12 feet of string and you cut it into equal length of 5 inches each how much string will be left

Answers: 2

Answer

Mathematics, 21.06.2019 22:30

An 18% discount on a watch saved a shopper $72. find the price of the watch before the discount

Answers: 1

Answer

You know the right answer?

Find the derivative of f(x) = negative 3 divided by x at x = -4....