It is given that m=3x+1 and y= (5/1+m^2).
Find dy/dx in terms of x.
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Step-by-step explanation:

Using chain rule:

Step-by-step explanation:

Never saw a problem presented in this way in all my years of teaching calculus. But I'm thinking that we need to sub that given expression for m into the equation for y and get everything into y in terms of x in order to find the derivative. I see no other way that makes sense. Can't find the derivative of y in terms of x if there's an m in there. Making that substitution:

which simplifies to

and a bit more to

and now we're ready to find the derivative. Using the quotient rule:

which simplifies to

or, equally:

ab will be equal to