Question

find the value of the derivative for the given function

dr/dtheta if r= 1/ sqrt(11-theta)

Answer 1

you can use the quotient rule

Answer 2

or if you want write r as
\[r=(11-\theta)^\frac{-1}{2}\]
then just use chain rule

Answer 3

so i just use the trig functions

Answer 4

theta=2

Answer 5

how would i find a value

Answer 6

I don't know what you mean

Answer 7

you don't need trig functions to differentiate the r equation above

Answer 8

just chain rule

Answer 9

find the value of the derivative
is it asking for a number or just find the derivative

Answer 10

find the value of the derivative for what value of theta? theta=2?
you need to first find the derivative?

Answer 11

1/54 is final anser

1/2(11-x)^(3/2)

Answer 12

\[\frac{dr}{d \theta}=\frac{1}{2 (11-x)^\frac{3}{2}} \\ \frac{dr }{ d \theta} |_{x=2}=\frac{1}{2(11-2)^\frac{3}{2}} \]

Answer 13

so you said 11-2=9
and sqrt(9)=3
and 3^3=27
and 2(27)=54
so we have 1/54
food job

Answer 14

good job*

Answer 15

thankss