Education.com
Try
Brainzy
Try
Plus

Basic Rules of Differentiation Practice Questions

based on 4 ratings
By
Updated on Oct 1, 2011

To review these concepts, go to Basic Rules of Differentiation Study Guide.

Basic Rules of Differentiation Practice Questions

Differentiate each of the following.

1. f(x)=x5
2. y = x7
3. g(u) = u–5
4. h(x) = 8
5. y = t4
6. y = x
7. f(x) = x100
8. f(t) = –11
9. h(x) = x
10. y = x
11. g(x) = x
12. k(x) = 4x
13. y = √u
14. y =
15. f(x) =
16. g(x) =

Differentiate the following.

1. y = 3x7
2. f(x) =
3. V(r) = π r3
4. g( t) =
5. k(x) = 1 – x2
6. y = 4t3 - 8t + 70
7. f(x) = 8x3 + 3x2
8. y = x2 – 3x + 5
9. s(t) = -16t2 + 5t + 200
10. F(x) = 6x100 + 10x50 – 4x25 + 2x10 – 9
11. g(x) = 3x + 5x3
12. h(u) = u5 + 4u4 – 7u3 – 2u2 + 8u – 2
13. y = 3 + +
14. y = u2u– 2
15. f(x) = 4x2 – 8x + 5 +
16. y = 4√x +
1. Find the first four derivatives of f(x) =
2. Find the second derivative of s(t) = –16t2 + 20t + 150.
3. Find the third derivative of y = 10x4 – 7x3 + 6x –1.
4. Find the first three derivatives of y =

Solutions

1. f'(x) = 5x4
2. h'(x) = 0
3. f '(x) = 100x99
4. f '(t) = 0
5. h'(x) = 1·x0 = 1
6. k'(x) = –2x
7. f'(x) = 24x2 + 6x
8. s'(t) = –32t + 5
9. F'(x) = 600x99+ 500x49 – 100x24 + 20x9
10. h'(u) = 5u4 + 16u3 – 21u2 – 4u + 8
11. s"(t) = –32

150 Characters allowed

Related Questions

Q:

See More Questions
Top Worksheet Slideshows