### Home > APCALC > Chapter 5 > Lesson 5.5.1 > Problem5-158

5-158.

Let $f (x) = x^4 - x^3$. Homework Help ✎

1. Write the equation of the tangent line at $(1, 0)$.

Use the Point-Slope formula.

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

2. Write the equation of the line normal to the curve at $(1, 0)$.

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

3. Find all points on the graph of $y = f (x)$ with the same slope as in part (b).

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).