Plz check the pic andppz plz plz explain. Thanks. Given the function belowf(x) = V-48a3Find the equation of the tangent line to the graph of the function at x = 1. Answer in mx + b form.L(x) :%3DorUse the tangent line to approximate f(1.1).L(1.1) =%3D

Answered: Given the function below f(x) = V- 48a+…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Plz check the pic andppz plz plz explain. Thanks.

Given the function below
f(x) = V-48a3
Find the equation of the tangent line to the graph of the function at x = 1. Answer in mx + b form.
L(x) :
%3D
or
Use the tangent line to approximate f(1.1).
L(1.1) =
%3D

Expert Solution

Step 1

The function $f (x)$ is a rule that associates or fixes a number to the particular point x. If $y = f (x)$ , then the independent variable x is called the input of the function, and the dependent variable y is called the output of the function.

The derivative of the function $y' = \frac{d y}{d x}$ is the measure of how fast the function is changing with respect to x. Mathematically the derivative at a point is defined as $f' (x) = \lim_{h \to 0} \frac{f (x + h) - f (x)}{h}$ .