2 years ago

A2. Find y' and y" for y^2 = x^2+ sinxy

Mathematics

1 answer:

kumpel [21]2 years ago

4 0

Answer:

y' = (2x + y cosxy)/(2y + x cosxy)

Step-by-step explanation:

Using implicit differentiation:

y^2 = x^2 + sin xy

2y y' = 2x + cos xy * (xy' + y)

2y y' = 2x + xy' cos xy + y cos xy

2y y' - xy' cosxy = 2x + ycos xy

y' = (2x + y cosxy)/(2y - x cosxy)

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