Question

Find dy/dx by implicit differentiation.

x3- 3x2y + 2xy2= 12

Answer 1

Step 1:

The function is .

Apply derivative on each side with respect to .

Use sum and difference rule : .

Use constant multiple and power rule : .

Use product rule : .

Simplify the expression.

Rewrite the expression.

From left hand side, take out common factor as  and simplify it.

Solution :

.