Question

differentiate: a^4y=(x^2+a^2)^3/2

Answer 1

with respect to what??

Answer 2

y

Answer 3

assuming a is constant.
Let
\[u=x^2+a^2\]
\[y=\frac{u^{3}}{a^4}\]
now find
\[\frac{dy}{du}=\frac{3\sqrt{u}}{2a^4}\]
and
\[\frac{du}{dx}=2x\]
now use chain rule
\[\frac{dy}{dx}=\frac{dy}{du}*\frac{du}{dx}\]

Answer 4

i don't understand .. huhu

Answer 5

assuming a is not constant....
\[4a^3 da dy = \frac 32 (x^2 + a^2)^{1/2} (2x dx + 2ada)\]
lol

Answer 6

huh? i don't understand ..

Answer 7

you werent supposed to lol. that was just a joke

Answer 8

"lol" usually indicates "not serious"

Answer 9

haay .. tsk ..