Find the linearization of the function y = 6 sqrt{2x - 1} at x = 5.

Question:

Linearization of a Function:

Linearization of a function is a way to replace the complicated function into a simpler linear function. Linearization of a function {eq}\ f(x) \ {/eq} at {eq}\ x=a \ {/eq} is a linear function given by:

{eq}L(x) = f(a) + f'(a) (x-a) {/eq}

The graph of this function is a tangent line to the graph of {eq}\ f(x). {/eq}

Answer and Explanation: