### Home > CALC > Chapter 6 > Lesson 6.2.2 > Problem 6-77

6-77.

Find *y*' and use point slope form to find the equation.

Point slope form: *y* = *m*(*x* − *x*_{1}) + *y*_{1}

If the graph was concave down, would the tangent line be an over or under-approximation?

The base and height are given on the graph.

Compute *y*'(1) and use point slope form again to find the equation.

The vertices of the triangle made by the tangent line are (0, 0), (0, *t*(0)), and (*x*-intercept of *t*(*x*), 0), where *t*(*x*) is the equation of the tangent line.

Calculate the area of the triangle using the vertices to determine the dimensions.