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.

the number of the people going.

step-by-step explanation:

the cost to buy one movie ticket is $7. if the total cost for the movie is a function of how many people go, then the input is : the number of the people going.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.