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Product, quotient, & chain rules

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Product ruleDifferentiating productsWorked example: Product rule with tableWorked example: Product rule with mixed implicit & explicitProduct rule to find derivative of product of three functionsProduct rule proofProduct rule review
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Chain ruleWorked example: Derivative of cos³(x) using the chain ruleWorked example: Derivative of ln(√x) using the chain ruleWorked example: Derivative of √(3x²-x) using the chain ruleChain rule overviewWorked example: Chain rule with tableChain rule
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Proof: Differentiability implies continuityIf function u is continuous at x, then Δu→0 as Δx→0 Chain rule proof
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Quotient rule from product & chain rulesWorked example: Quotient rule with tableTangent to y=𝑒ˣ/(2+x³)Normal to y=𝑒ˣ/x²Quotient rule review
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About this unit

Covered basic differentiation? Great! Now let's take things to the next level. In this topic, you will learn general rules that tell us how to differentiate products of functions, quotients of functions, and composite functions. Anxious to find the derivative of eˣ⋅sin(x²)? You've come to the right place.