What does “Product and quotient rules” actually mean in Differentiation, and why does it matter for JEE?
the derivative of a product is u'v+uv'; of a quotient is (u'v−uv')/v².
In simple words: the derivative of a product is u'v+uv'; of a quotient is (u'v−uv')/v². Getting Product and quotient rules clear matters because JEE questions on Differentiation usually test this idea directly, not just a formula you memorised.
Key point
Product and quotient rules
Common mistake
differentiating a product as just u'v'.
Memory tip
the derivative of a product is NOT the product of derivatives.
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