Question

Differentiate (sqrt(x^9)/sqrt(0.01x)

Answer 1

\[0.1^2=0.01\]

Answer 2

uhmm \[\frac{d}{dx} \left (\frac{\sqrt{x^9}}{\sqrt{0.01x}} \right)\]
is that the question?

Answer 3

yes

Answer 4

sounds like a quotient rule question

Answer 5

no, the quotient rule is not in our syllabus. ive got to\[= x^4\div \sqrt{0.01}\]

Answer 6

you're right...

\[\frac{\sqrt{x^9}}{\sqrt{0.01x}} \implies \frac{x^4\sqrt{x}}{\sqrt{0.01x}} \implies \frac{x^4}{\sqrt{0.01}}\]

Answer 7

but i need to get 40x^3

Answer 8

factor out the constant

\[\frac{d}{dx} \left(\frac{x^4}{\sqrt{0.01}}\right) \implies \frac{1}{\sqrt{0.01}} \frac{d}{dx} \left(x^4\right)\]

Answer 9

\[\large \implies \frac{4x^3}{\sqrt{0.01}}\]
agree?

Answer 10

ah yes, i see, ive got it now

Answer 11

\[0.1^2=0.01\]
so
\[\sqrt{0.01}=0.1\]

Answer 12

wonderful!

Answer 13

Thanks fellas!

Answer 14

welcome ^_^ another day of saving the day for the avatar