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Higher Order Derivatives — Practice Questions - dummies - Free Printable

Educational worksheet: Higher Order Derivatives — Practice Questions - dummies. Download and print for classroom or home learning activities.

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- The first derivative $ y' = -2x \sin(x^2) $ is correctly computed using the chain rule.
- The second derivative $ y'' = -2 \sin(x^2) - 4x^2 \cos(x^2) $ is correctly derived by applying the product rule to $ y' $ and then simplifying.
- The third derivative $ y''' = 8x^3 \sin(x^2) - 12x \cos(x^2) $ is correctly obtained by differentiating $ y'' $ using the product rule and chain rule, then combining like terms.

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