The sketch graph shows the curve of y = x⁵ − x³.

Find:

a. The coordinates of the point P where the curve crosses the positive x-axis

b. The equation of the tangent at P

c. The equation of the normal at P.

The tangent at P meets the y-axis at Q and the normal meets the y-axis at R.

d. Find the coordinates of Q and R and hence find the area of triangle PQR.

Transcribed Image Text:

y y = x5 - x