How do you use the quotient rule to find the derivative of X?

[Maxwellkid]

How do u tak the derivative of

X = (cos@)/(sin@)
dx/d@ = ?

 

[statdad]

Two suggestions:

first: regardless of the variable name, what function does cosine over sine reduce to?

second: use ordinary derivative tools for trig functions

 

[Maxwellkid]

must I merely memorize the derivate of cotangent?

 

[statdad]

must I merely memorize the derivate of cotangent?

Well, you should know how to use ALL of the derivative methods you encounter, so you don't have to re-derive them each time you need them. On the plus side: if you take enough math courses learning them will be natural. Good luck in your studies...

 

[CaffeineJunky]

Use the product rule or the quotient rule.

 

[Maxwellkid]

Isn't derivative of cotangent equal to csc squared?

 

[jgens]

Why don't you try deriving it to check ;-)

 

[Maxwellkid]

Where do i start to derive it?

 

[jgens]

Alright, I'll start you off . . .

cot(x) = \frac{cos(x)}{sin(x)}[/itex]<br /> <br /> \frac{d(cot(x))}{dx} = \frac{d}{dx} \left (\frac{cos(x)}{sin(x)} \right )<br /> <br /> Now, can you remember the rule for differentiating the quotient of two functions?

 

[Дьявол]

Try checking using the quotient rule:

\left({f \over g}\right)&#039; = {f&#039;g - fg&#039; \over g^2}, \qquad g \ne 0

In your case f=cos@ and g=sin@

Regards.