Dr. J's Maths.com
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Calculus - Integration - Differentiate ... hence find problems.
Test Yourself 1 - Solutions.


 

Non logs. 1. (i)

(ii) .

 

2. (i)

(ii) .

 

3. (i)

(ii)

 

4. (i)

(ii)

 

5. (i)

(ii)

  6.
Logarithms. 13. (i) Differentiate y = (ln x)2.

(ii) Hence evaluate

Answer.Integral = 0.5.
  14. (i) If show that

(ii) Hence or otherwise evaluate

  15. (i) Show that .

(ii) Hence evaluate .

  16. Differentiate loge (loge x) and hence evaluate .
  17.
  18.
Trig functions

19. (i) Differentiate loge (cosx) with respect to x.

(ii)

 

 

20. (i) Differentiate sin2x - cos4x

(ii) Hence evaluate

Answer.-3/4.
  21. .
 

22. (i)

(ii)

 

23. (i) .

(ii)

  24.