### Home > CALC > Chapter 5 > Lesson 5.5.1 > Problem 5-158

5-158.

Given

*f*(*x*) =*x*^{4}−*x*^{3}: Homework Help ✎Find the equation of the tangent line at (1, 0).

Find the equation of the line normal to the tangent at (1, 0).

Find all points on

*f*(*x*) with the same slope as in part (b).

Use the point-slope formula.

Use *f* '(*x*) to find the slope at *x* = 1. You already know the point.

Normal lines are means perpendicular to the tangent line at the point of tangency.

Let *f*(*x*) = the slope in part (b). Solve for *x*. Then find the corresponding *y*-value(s). Write your answer(s) as coordinate point(s).