Step 1 :

The function is and the point .

Rewrite the expression :

Differentiate with respect to x.

Use chain rule : .

Derivative of the function :

Step 2 :

Substitute in above equation :

Slope of a tangent line .

Point slope form of line equation .

Substitute and the point :

Equation of a tangent line is .

Step 3 :

Graph of the function and tangent line :

Observe the graph:

The tangent line with slope is passing through the point .

Solution :

Derivative of the function at point is

Graph of the function and tangent line :

The tangent line with slope is passing through the point .