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Higher Order Derivatives

★★★☆☆High School

📖Definition

Derivatives of derivatives. The second derivative relates to curvature.

f''(x) = (d²y)/(dx²) = (d)/(dx)((dy)/(dx))

Second derivative

f^(n)(x) = (dⁿ y)/(dxⁿ)

nth derivative

예제 1★★☆☆☆

Find the first, second, and third derivatives of f(x) = x⁴.

Acceleration (derivative of velocity)

Concavity determination

#analysis#calculus#differentiation