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Worksheet: Differentiation of Natural Logarithmic Functions
Q2:
Find , given that .
- A
- B
- C
- D
Q3:
A factoryβs production of units in days is governed by the relation . What is the rate of change of production with respect to time on the fifth day?
- A
- B
- C
- D
Q4:
Find the first derivative of the function .
- A
- B
- C
- D
Q5:
Find the first derivative of the function .
- A
- B
- C
- D
Q6:
Find , given that .
- A
- B
- C
- D
Q7:
Find , given that .
- A
- B
- C
- D
Q8:
Differentiate the function .
- A
- B
- C
- D
- E
Q9:
Find , given that .
- A
- B
- C
- D
Q10:
If , find .
- A
- B1
- C
- D9
- E3
Q11:
Given that , determine .
Q12:
Differentiate .
- A
- B
- C
- D
- E
Q13:
Differentiate , and determine its domain.
- A ,
- B ,
- C ,
- D ,
- E ,
Q14:
Differentiate .
- A
- B
- C
- D
- E
Q15:
Given that , determine .
- A
- B
- C
- D
Q16:
Given that , find .
- A
- B
- C
- D
Q17:
Differentiate .
- A
- B
- C
- D
- E
Q18:
Differentiate .
- A
- B
- C
- D
- E
Q19:
Differentiate the function .
- A
- B
- C
- D
- E
Q20:
Determine , given that .
- A
- B
- C
- D
Q21:
Differentiate , and determine its domain.
- A ,
- B ,
- C ,
- D ,
- E ,
Q22:
Differentiate , and determine its domain.
- A ,
- B ,
- C ,
- D ,
- E ,
Q23:
Differentiate .
- A
- B
- C
- D
- E
Q24:
Determine the first derivative of .
- A
- B
- C
- D
Q25:
Differentiate .
- A
- B
- C
- D