Use implicit differentiation to find the derivative of: Write the solution of each number

Question

10. y - Arccot(xy) = 3

Answer 1

y'- (-1/(1+(xy)²)(xy'+y)= 0

y'+xy'/(1+x²y²)+y/(1+x²y²) = 0

y'(1+x/(1+x²y²)) = -y/(1+x²y²)

y'(1+x²y²+x) = -y

y' = -y/(1+x²y²+x) = -y(x²y²+1+x)