Differentiation (2)

**Tangera** · July 6th 2008, 07:40 PM

Hello!

Differentiate x[(9 - (x^2))^(1/2)] + 9 [sin^(-1) (x/3)], leaving your answer in the form of [a(b-x^2)^(1/2)]

Thank you for helping!

**kalagota** · July 6th 2008, 07:45 PM

Originally Posted by Tangera

Hello!

Differentiate x[(9 - (x^2))^(1/2)] + 9 [sin^(-1) (x/3)], leaving your answer in the form of [a(b-x^2)^(1/2)]

Thank you for helping!

it's just a long differentiation and simplification..
what have you done so far?

**Tangera** · July 6th 2008, 07:49 PM

Hello!

So far I got [18 - 2(x^2)]/ square root of [9 - (x^2)]... but it is not in the form the question asked for...

**kalagota** · July 6th 2008, 08:10 PM

Originally Posted by Tangera

Hello!

So far I got [18 - 2(x^2)]/ square root of [9 - (x^2)]... but it is not in the form the question asked for...

assuming you are correct, multiply it with $\frac{\sqrt{9-x^2}}{\sqrt{9-x^2}}$ (of course, assuming that x is not +-3.. Ü)

Thread: Differentiation (2)