Question

Q.8 Differentiate these
implicit functions
1. x² + y² = 6x + 4y
​

Answer 1

• Answer:
• In implicit differentiation, we differentiate each side of an equation with two variables (usually x and y) by treating one of the variables as a function of the other. This calls for using the chain rule. Let's differentiate x 2 + y 2 = 1 x^2+y^2=1 x2+y2=1x, squared, plus, y, squared, equals, 1 for example.
• To Implicitly derive a function (useful when a function can't easily be solved for y) Differentiate with respect to x. Collect all the dy/dx on one side. Solve for dy/dx.
• To Implicitly derive a function (useful when a function can't easily be solved for y) Differentiate with respect to x. Collect all the dy/dx on one side. Solve for dy/dx.To derive an inverse function, restate it without the inverse then use Implicit differentiation.
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