Question

Derivs. @SithsAndGiggles :-)

Answer 1

http://gyazo.com/5942768e038fbb423b851ba12d476168

Answer 2

I know this is simple I just forget it ;P

Answer 3

It's the same as before. Apply the avg rate of change formula.

Answer 4

........yeh simple

Answer 5

f(x)=sqrt(2x+6)

Answer 6

Find simplified quotient

Answer 7

\[(\sqrt(2(x+h)+6)-\sqrt(2x+6))/h\]

Answer 8

Is that correct?:O

Answer 9

Yes. Do you have to rewrite that or something?

Answer 10

I need to simplify it :P

Answer 11

So then sqrt(2x+2h+6)-sqrt(2x+6) all over h

Answer 12

Well the most simplification I can think of is to get rid of the square roots in the numerator, but that's just going to leave you with radicals in the denominator.

Answer 13

\[\frac{\sqrt{2(x+h)+6}-\sqrt{2x+6}}{h}\cdot\frac{\sqrt{2(x+h)+6}+\sqrt{2x+6}}{\sqrt{2(x+h)+6}+\sqrt{2x+6}}\]
\[=\frac{(2(x+h)+6)-(2x+6)}{h\left(\sqrt{2(x+h)+6}+\sqrt{2x+6}\right)}\]