Implicit Differentiation Examples (Part 1)

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Steps:

1. Differentiate both sides with respect to x. (Keep in mind that y is a function of x.)
2. Solve for y′.

Q1. Differentiate x^2+y^2=1.
Q2. Differentiate y^3−2y^2−y+2=x^3−3x^2+2x
Q3. Differentiate x^2 sin⁡y=y^3−e^y