Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

So I have:

$$y=\frac{t+2}{t-3},\qquad x=\frac{3t+1}{t-4}$$

What is $\dfrac{\mathrm dy}{\mathrm dx}$ when $t=1$?

I got $\dfrac{45}{52}$ but wanted to check the answer.

share|improve this question
    
Hello, welcome to Math.SE. Please, try to make the title of your questions more informative. E.g., Why does $a\le b$ imply $a+c\le b+c$? is much more useful for other users than A question about inequality. For more information on choosing a good title, see this post. –  Lord_Farin Oct 3 '13 at 13:50
add comment

1 Answer

$dy/dx=(dy/dt)/(dx/dt)=(-5/(x-3)^2)/(-13/(x-4)^2)$ By substituting $t=1$, you can get $dy/dx=(-5/4)/(-13/9)=45/52$

share|improve this answer
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.