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Differentiation

Total questions: 8

Worksheet time: 24mins

Name
Class
Date
1.

a)

2x+5

b)

2x+5x

c)

x2+5 x^2+5\

d)

2x

2.

a)

18v315v4+30v518v^3-15v^4+30v^5

b)

24v315v4+25v524v^3-15v^4+25v^5

c)

24v3+15v430v524v^3+15v^4-30v^5

d)

24v315v4+30v524v^3-15v^4+30v^5

3.

a)

1

b)

2x

c)

2x-3

d)

2x+2

4.

a)

9x22x 9x^2-2x\

b)

6x - 1

c)

6x

d)

9x22 9x^2-2\

5.

a)

2x(x2+1)2-2x\left(x^2+1\right)^2

b)

2xx2+1-\frac{2x}{x^2+1}

c)

2x(x2+1)2\frac{2x}{\left(x^2+1\right)^2}

d)

2x(x2+1)2-\frac{2x}{\left(x^2+1\right)^2}

6.

a)

12x\frac{1}{2\sqrt{x}}

b)

12xx-\frac{1}{2x\sqrt{x}}

c)

14xx-\frac{1}{4x\sqrt{x}}

d)

14xx\frac{1}{4x\sqrt{x}}

7.

a)

4

b)

12x2412x^2-4

c)

12x212x^2

d)

12x2+412x^2+4

8.

a)

504x5+120x36\frac{-504x^5+120x^3}{6}

b)

4x5+2x3-4x^5+2x^3

c)

20x4+6x2-20x^4+6x^2

d)

80x3+12x-80x^3+12x