Question

Find the derivative of 5pi/3

Answer 1

@Floraaa Hi :)
\(\huge \color{red}{\text{Welcome to Open Study}}\ddot\smile\)

since 5pi/3 is constant , its derivative =0
are you sure the question states, 5pi/3 ?

Answer 2

or its something like sin 5pi/3 or cos 5pi/3 ??

Answer 3

It's 0

5π^3 is a constant, most people use π to represent the approximation to 3.14159...

So what would you have said the derivative is of
5(3.14159...)^3 ?
Or what would you say is the derivative of
y = 135

Answer 4

got it?

Answer 5

Oh okay i get it. i just have to make the whole equation equal to zero to find the complete derivative. Thanks(:

Answer 6

ok

Answer 7

umm...not really, can you post the complete question ?

Answer 8

I'll attach it.

Answer 9

Here it is.

Answer 10

you need to find the derivative of 'r' with respect to 'h'
(and not the derivative of 5pi/3)
were u able to find it ?

Answer 11

I'm working on it.

Answer 12

i'll wait, if you have doubts, u can ask :)

Answer 13

I'm not getting the right answer. I think i'm doing it wrong.

Answer 14

can u show me what u did ?

Answer 15

i'll spot the error....this way it'll be faster..

Answer 16

I cant take a picture of my work. For the top we will be using the product rule and the implicit differentiation thing right?

Answer 17

yes, and you put V =5pi/3, right ?
(note the pi's getting cancelled...)

Answer 18

did u get
\(5=h^2(3r-h)\)

Answer 19

then instead of product rule first, you can do this :
5 = 3rh^2-h^3
can you differentiate this ?

Answer 20

Yes I think I got it. Thanks(:

Answer 21

welcome ^_^