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Use Implicit Differentiation to find first dy/dx , then the equation of the tangent line to...

Use Implicit Differentiation to find first dy/dx , then the equation of the tangent line to the curve x2+xy+y2= 2-y at the point (0,-2)

b. Determine a function of the form f(x)= ax2+ bx + c (that is, find the real numbers a,b,c ) if the graph of the function has slope 2 at the point (3,4) , and has a horizontal tangent where x=1

c. Assume that x,y are functions of variable t satisfying the equation x2+xy=10. Find dy/dt when x=2 if dx/dt = -1

Thank you so much!!!

Math   Calculus   
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