Derivatives Exercise No. 4.2

Differentiate the following functions in their respective domains with respect to x: 

1. y = (2 + x )^x [video]

2. y = (5x - 3) ^ x [video]

3. y = x ^ e^x  [video]

4. y = x^tan^-1 x [video]

5. y = (cos x) ^ x [video]

6. y = (x^2 + 3x + 4 )^ 2x + 1 [video]

7. y = (2x - 3 )^ 1/4 / (3x + 1) ^ 1/3 (2 - x) ^ 7/2 [video]

8. y = 5^x e^ cosx tan^ -1 x [video] 

9. y = 5^x + x^ x [video] 

10. y = (sin x )^ x + x. sinx [video]