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Functions - Exponential - Differentiate ... hence find.
Test Yourself 1.



All questions below depend on the exponential function.

Derivative has
1 term.		 1. (i) Differentiate .

(ii) Hence or otherwise evaluate

.
  2. (i) Differentiate 2xe3x

(ii) Hence find .
  3. (i) Differentiate .

(ii) .

Answer.(e - 1)/3.
  4. (i) Show that
  5.
Derivative has
2 terms.		 6. (i) Differentiate x ex.

(ii) Hence find .
  7. (i) Show that

.

(ii) Hence find .
  8. (i) Find .

(ii) Hence evaluate .
  9.
  10. (i) Differentiate xe3x.

(ii) Hence find .
Combination of approaches
(harder).		 11.
 

12.

  13. (i) Show that .

(ii) Hence find .