What is the instataneous rate of change at x=2 of the function f given by f(x)= x^2-2÷x-1

2

Step-by-step explanation:

Assuming the function is:

f(x) = (x² − 2) / (x − 1)

Use quotient rule to find the derivative.

f'(x) = [ (x − 1) (2x) − (x² − 2) (1) ] / (x − 1)²

f'(x) = (2x² − 2x − x² + 2) / (x − 1)²

f'(x) = (x² − 2x + 2) / (x − 1)²

Evaluate at x=2.

f'(2) = (2² − 2(2) + 2) / (2 − 1)²

f'(2) = (4 − 4 + 2) / 1

f'(2) = 2

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.

the second option

step-by-step explanation: