Question

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

Answer 1

Step 1:

The function is and the point is .

Differentiate with respect to x.

Chain rule of derivatives :

Slope of the tangent line at .

Slope of the tangent line is .

Step 2:

Point slope form of line equation is .

Substitute and in the above equation.

The tangent line equation is .

Solution :

The tangent line equation is .