Question

Find an equation of the tangent line to the graph of the function at the given point.

Answer 1

Step 1 :

The equation is and the point is .

The slope of the tangent line is the derivative of the function at .

Apply derivative on each side with respect to x.

Substitute in above equation.

The slope is .

Step 2 :

The point-slope form of a line equation is .

Substitute and the point in above equation.

The tangent line equation is

Solution :  

The tangent line equation is