Find the tangent line to the graph of f(x)=x at point (0,0)

Given:

The function is

To find:

The tangent line to the graph of f(x)=x at point (0,0).

Solution:

We have,

It is a linear function because the highest power of the variable is 1.

We know that the tangent line to a linear function at any point is the line itself.

Derivative of given function is

So, slope of the tangent line is 1. It is given table the tangent line passes through the point (0,0). The equation of tangent line is

Therefore, the tangent line to the graph of f(x)=x at point (0,0) is y=x.

step-by-step explanation:

step-by-step explanation:

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