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Checkfate
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I need help solving this problem. It is in my textbook but no answer is provided in the appendix.
If [tex]y=2t+3[/tex] and [tex]x=t^{2}-t[/tex], find [tex]\frac{dy}{dx}[/tex]
In theory this should be fairly straight forward! Simply find [tex]\frac{dy}{dt}[/tex] and [tex]\frac{dt}{dx}[/tex] and multiply both derivatives together to find [tex]\frac{dy}{dx}[/tex] , but I am having some problems.
I tried solving [tex]x=t^{2}-t[/tex] for t, but that gets ugly pretty fast. I am out of ideas, can someone point me in the right direction? Thanks again in advance.
If [tex]y=2t+3[/tex] and [tex]x=t^{2}-t[/tex], find [tex]\frac{dy}{dx}[/tex]
In theory this should be fairly straight forward! Simply find [tex]\frac{dy}{dt}[/tex] and [tex]\frac{dt}{dx}[/tex] and multiply both derivatives together to find [tex]\frac{dy}{dx}[/tex] , but I am having some problems.
I tried solving [tex]x=t^{2}-t[/tex] for t, but that gets ugly pretty fast. I am out of ideas, can someone point me in the right direction? Thanks again in advance.