## MTALHAHASSAN2 one year ago Differentiate each function. Do not expand an expression before differentiating. a) y=sqrt x^2-3

1. frank0520

use the chain rule $\frac{ d }{ dx }(\sqrt{x^2 -3})$

2. MTALHAHASSAN2

ok so then it be like =(x-3^1/2) if we finish the sqrt root

3. MTALHAHASSAN2

@frank0520 are you there??

4. frank0520

No, that is not correct

5. MTALHAHASSAN2

why not

6. MTALHAHASSAN2

x^2/2 -3^1/2

7. frank0520

$\frac{ d }{ dx }(\sqrt{x^2 -3})$ $\frac{ d }{ dx }(x^2 -3)^{1/2}$ $\frac{ 1 }{ 2 }(x^2 -3)^{-1/2} \frac{ d }{ dx }(x^2 -3)$ $\frac{ 1 }{ 2 }(x^2 -3)^{-1/2} (2x)$ $x(x^2 -3)^{-1/2}$ $\frac{ x }{ \sqrt{x^2 -3} }$

8. MTALHAHASSAN2

can someone help me with it: f(x)=1/(x^2-16)^5

9. frank0520

Try it yourself, this is the same as the first problem. Use the chain rule.

10. MTALHAHASSAN2

ok let me try then

11. MTALHAHASSAN2

i get =1/10(x^2-16)^4