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Differential Calculus – Differential


Differential

 

Functios: f, u, v

Independent variable: x

Derivative of a functions: y’(x), f ‘(x)

Real constant: C

Differential of functions y = f (x) : dy

Differential of x: dx

Small change in x: Δx

Small change in y: Δy

 

  • dy = y’ dx

 

  • f (x + Δx) = f (x) + f’ (xx

 

Figure

 

 

  • Small Change in y

  • d(u + v) = du + dy

  • d(u – v) = du – dy

  • d(Cu) = Cdu

  • d(uv) = vdu + udy

 



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Labels: Mathematician

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