FIND EQUATION OF THE TANGENT LINE AT A GIVEN POINT WORKSHEET

For each problem, find the equation of the tangent line to the function at the given point.

Problem 1 :

f(x) = x² + 1; (1, 2)

Solution

Problem 2 :

f(x) = 2x² + 2x + 2; (-1, 2)

Solution

Problem 3 :

y = x² + x - 2; (1, 0)

Solution

Problem 4 :

y = 2x² + 1; (-1, 3)

A)  y = 2x + 5        B)  y = -4x – 1     C)  y = 12x + 15

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

Solution

Problem 8 :

Solution

For each problem, find the equation of the line tangent to the function at the given point. Your answer should be in slope – intercept form.

Problem 1 :

y = x³ – 3x² + 2 at (3, 2)

Solution

Problem 2 :

Solution

Problem 3 :

y = x³ – 2x² + 2 at (2, 2)

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

y = In (-x) at (-2, In 2)

Solution

Problem 8 :

y = -2tan (x) at (-π, 0)

Solution