## Ayeshaafzal 3 years ago Differentiate x^2 surd x

1. Mimi_x3

$x^2 \sqrt{x}$?

2. lgbasallote

$\Large x^2 \sqrt x \implies x^2 \times x^{1/2} \implies x^{2 + 1/2} \implies x^{5/2}$ does that help?

3. lgbasallote

@Ayeshaafzal you still here?

4. Ayeshaafzal

But the answer says 5 root x3 over 2

5. lgbasallote

correct...

6. lgbasallote

i only said the equivalent of $x \sqrt x$ i never said it was the answer...

7. lgbasallote

you have to take the derivative of $x^{5/2}$ use power rule

8. Ayeshaafzal

X^3*

9. lgbasallote

you know how to use power rule right?

10. Ayeshaafzal

No i forgot

11. lgbasallote

$\huge \frac{d}{dx} (x^n) \implies nx^{n-1}$ remember now?

12. Ayeshaafzal

Ohhh i get it thnx

13. lgbasallote

welcome ^_^

14. Ayeshaafzal

I am still not getting the answer

15. lgbasallote

did you get $\huge\frac{d}{dx} (x^{5/2}) \implies \frac 52 x^{\frac 52 - 1}$

16. Ayeshaafzal

Are we not gonna times by x^2 which is the value of n

17. lgbasallote

n is 5/2

18. lgbasallote

the form is x^n remember? n is the exponent...in this case it's 5/2

19. lgbasallote

for example.. derivative of x^3 is 3x^(3-1) or 3x^2 derivative of x^4 is 4x^(4-1) or 4x^3 derivative of x^2 is 2x^(2-1) or 2x^1 or simply 2x getting the idea now?

20. Ayeshaafzal

Got it 5*x^3/2 /2= 5 rootx^3 over2

21. lgbasallote

right

22. Ayeshaafzal

Thank u i am so sorry about my dumbness

23. lgbasallote

haha nahh calculus is hard so dont feel bad :D

24. lgbasallote

anyway you're welcome :D i have to go sleep now so i wsh you luck in these problems

25. Ayeshaafzal

Have a good night