Question

Implicit derivatives of (x²+y²) ³ = a⁴x²

Answer 1

Answer:

{a⁴x/3(x²+y²)² - x}/y

Step-by-step explanation:

(x²+y²) ³ = a⁴x²

3(x²+y²)² ( 2x + 2yy') = 2a⁴x

3(x²+y²)² ( x + yy') = a⁴x

( x + yy') = a⁴x/3(x²+y²)²

x + yy' = a⁴x/3(x²+y²)²

yy' = a⁴x/3(x²+y²)² - x

y' = {a⁴x/3(x²+y²)² - x}/y