Write the linearization of the function at the points indicated. (Enter your answer as an equation. Let x be the independent variable and y be the dependent variable.) x= \(\sqrt{?}25+x\) (0, 5) and (75, 10)

Step-by-step explanation:

Linearization

It consists of finding an approximately linear function that behaves as close as possible to the original function near a specific point.

Let y=f(x) a real function and (a,f(a)) the point near which we want to find a linear approximation of f. If f'(x) exists in x=a, then the equation for the linearization of f is

Let's find the linearization for the function

at (0,5) and (75,10)

Computing f'(x)

At x=0:

We find f(0)

Thus the linearization is

Now at x=75:

We find f(75)

Thus the linearization is

yes

step-by-step explanation:

yes