Five stars and brainliest to correct answer find the derivative of f(x) = 4 divided by x at x = 2. answer choices: a) -4 b) -1 c) 1 d) 4

Given, f(x) = 4/x

We have to find the derivative of it.

First we have to use property of negative exponents. We know that, 1/a = a⁻¹.

So here, f(x) = 4/x = 4x⁻¹

f'(x) = 4×(-1)×(x)⁽⁻¹⁻¹⁾

= 4×(-1)×(x)⁻²

= (-4)(x)⁻²

= -4/x²

So we have got derivative of f(x) which is f'(x) = -4/x²

Now we have to find the derivative at x = 2. To find the value at x =2, we have to plug in 2 in the place of x.

f'(2) = -4/(2)² = -4/4 = -1

We have got the required answer derivative of f(x) at x =2 is -1

So option B is correct.

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

answer. d.289 hope that