Chain rule - Derivatives

Chain rule

Chain Rule appears everywhere in the world of differential calculus. Whenever we are finding the derivative of a function, be it a composite function or not, we are in fact using the Chain Rule. In this section, we will learn about the concept, the definition and the application of the Chain Rule, as well as a secret trick – "The Bracket Technique".


Chain Rule
if: y=f()y = \;f\left( {\;\;\;\;\;\;\;} \right)
then: dydx=f()ddx()\frac{{dy}}{{{d}x}} = f'\left( {\;\;\;\;\;\;\;} \right)\cdot\frac{{d}}{{{d}x}}\left( {\;\;\;\;\;\;\;\;} \right)

Differential Rules
table of chain rule applications on various functions 1
table of chain rule applications on various functions 2
  • 2.
    Differentiate: Rational Functions
  • 3.
    Differentiate: Radical Functions
  • 4.
    Differentiate: Trigonometric Functions
  • 5.
    Differentiate: Exponential Functions
  • 6.
    Differentiate: Logarithmic Functions
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Chain rule

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