FINDING SLOPE OF THE TANGENT LINE AT THE POINT INDICATED WORKSHEET

Find the slope of the tangent of the following curves at the respective given points.

Problem 1 :

y = x⁴ + 2x² - x at x = 1

Solution

Problem 2 :

x = a cos³ t, y = b sin³ t at x = π/2

Solution

Problem 3 :

Find the point on the curve y = x² − 5x + 4 at which the tangent is parallel to the line 3x + y = 7

Solution

Problem 4 :

Find the points on the curve y = x³ − 6x² + x + 3 where the normal is parallel to the line x + y = 1729 .

Solution

Problem 5 :

Find the points on the curve y²- 4xy = x² + 5 for which the tangent is horizontal.

Solution