Practice Problems: Tangent Lines
Practice Questions
1. Find the tangent line to f (x) = x2 at x = 3.
2. Find the tangent line to f (x) = 3x3 at x = 1.
√
3. Find the tangent line to f (x) = x at x = 4.
1
4. Find the tangent line to f (x) = x
at x = 2.
5. Find the tangent line to f (x) = x3 − 2x at x = −1.
6. Find the tangent line to f (x) = ln x at x = e.
7. Find the tangent line to f (x) = sin x at x = π4 .
8. Find the tangent line to f (x) = cos x at x = 0.
9. Find the tangent line to f (x) = ex at x = 1.
10. Find the tangent line to f (x) = x4 at x = 2.
1
11. Find the tangent line to f (x) = x2
at x = 1.
12. Find the tangent line to f (x) = tan x at x = π3 .
13. Find the tangent line to f (x) = x2 + 5x at x = −2.
√
14. Find the tangent line to f (x) = 3x + 1 at x = 3.
15. Find the tangent line to f (x) = x3 + x at x = 0.
16. Find the tangent line to f (x) = ln(2x) at x = 1.
17. Find the tangent line to f (x) = e−x at x = 0.
x
18. Find the tangent line to f (x) = x+1
at x = 1.
19. Find the tangent line to f (x) = sin(2x) at x = π6 .
20. Find the tangent line to f (x) = x2 ex at x = 0.
1
Practice Questions
1. Find the tangent line to f (x) = x2 at x = 3.
2. Find the tangent line to f (x) = 3x3 at x = 1.
√
3. Find the tangent line to f (x) = x at x = 4.
1
4. Find the tangent line to f (x) = x
at x = 2.
5. Find the tangent line to f (x) = x3 − 2x at x = −1.
6. Find the tangent line to f (x) = ln x at x = e.
7. Find the tangent line to f (x) = sin x at x = π4 .
8. Find the tangent line to f (x) = cos x at x = 0.
9. Find the tangent line to f (x) = ex at x = 1.
10. Find the tangent line to f (x) = x4 at x = 2.
1
11. Find the tangent line to f (x) = x2
at x = 1.
12. Find the tangent line to f (x) = tan x at x = π3 .
13. Find the tangent line to f (x) = x2 + 5x at x = −2.
√
14. Find the tangent line to f (x) = 3x + 1 at x = 3.
15. Find the tangent line to f (x) = x3 + x at x = 0.
16. Find the tangent line to f (x) = ln(2x) at x = 1.
17. Find the tangent line to f (x) = e−x at x = 0.
x
18. Find the tangent line to f (x) = x+1
at x = 1.
19. Find the tangent line to f (x) = sin(2x) at x = π6 .
20. Find the tangent line to f (x) = x2 ex at x = 0.
1
