(x-y)^2 = 1

Question

(x-y)^2 = 1

anonymous · Answer

are u from Sri Lanka?

anonymous · Answer

ya

anonymous · Answer

ah nice to meet you then
so with what u need help

anonymous · Answer

$$x-y= \pm1$$

anonymous · Answer

can u pls gv me derivative to (x - y)^2 = 1

anonymous · Answer

with respect to what?

anonymous · Answer

to y

anonymous · Answer

okay

anonymous · Answer

$$(x-y)^{2}= x ^{2}+y ^{2}-2xy=1$$

anonymous · Answer

let me denote dx/dy=x' since you want to derivate with respect to y

anonymous · Answer

$$2xx' +2y-2(x'y+x)=0$$

anonymous · Answer

so this is the first derivative with respect to y

anonymous · Answer

did I answer your question

anonymous · Answer

sorry for this late reply and ya u gave the answer :)

anonymous · Answer

what is the derivative of 7955.6e^-0.0458/t

mathmale · Answer

Would you mind posting each question separately?

What is the derivative of e^t?  of e^(-t)?  

To find the derivative of the function you've just given, you'll have to use (1) the rule for the derivative of e^u and (2) the chain rule, since your exponent is in itself a function, and (3) the power rule (since 1/x is a power of x.

anonymous · Answer

(7955.6)e^(-0.0458/t)

mathmale · Answer

Don't understand.  Was that meant to be a question? an answer?  a review?  Please always include instructions or explanations with expressions such as this one.  I'd be glad to help you, but do hope you'll answer my questions first.

anonymous · Answer

this is a question and its like this
v = (7955.6)e^(-0.0458/t)
and i have to find dv/dt
it means v' (v's derivation)

mathmale · Answer

I asked you earlier:

What is the derivative of e^t?  of e^(-t)?  

To find the derivative of the function you've just given, you'll have to use (1) the rule for the derivative of e^u and (2) the chain rule, since your exponent is in itself a function, and (3) the power rule (since 1/x is a power of x.

Mind answering?  Then I'd be in a better position (as well as more willing) to address your question about differentiating v(t).

mathmale · Answer

Example:

If y = 5 e^(2t), the derivative would be dy/dt  =  5 e^(2t) * 2 = 10*e^(2t).

In obtaining this result, I used:

  (1) the rule for the derivative of e^u and (2) the chain rule, since your exponent is in itself a function, and (3) the power rule.  Hope this makes sense to you; if not, ask questions.  Better to learn from a simple example than from a more complicated problem.