### Home > CALC > Chapter 7 > Lesson 7.4.1 > Problem 7-177

7-177.

Given: ^{ }

Write the equation of the tangent line to

at.Use point-slope form of a line.

will give you the point, andwill give you the slope.Use your tangent line to approximate

.Since a linear equation is easier to evaluate than a 4th-degree polynomial, use the tangent line to approximate

.Is the approximation an over or under estimate of the actual value?

Is the graph of

concave up or down?