Question

Find an equation of the tangent line to the graph of the logarithmic function at the point (1, 0).

y = ln x^4

Answer 1

Step 1 :

The function is and the point is

Rewrite the expression :

Differentiate y  with respect to x.

The slope(m) of a tangent line at the point :

Substitute in

Step 2 :

Point-slope form of a line equation .

Substitute and the point in above equation.

The equation of a tangent line is

Solution :

The equation of a tangent line is