Derivatives Of Composite Functions Chain Rule Tt Theorem And Its Proof
Derivatives of composite functions: Chain Rule tt[Theorem and its Proof]
graph TD;
A[Derivatives of composite functions: Chain Rule] --> B((Theorem))
A --> C((Proof))
B --> D{f(g(x))}
B --> E{g'(x)}
C --> F{Step 1}
C --> G{Step 2}
D --> H((f'(g(x))))
E --> I((f(g(x))))
F --> J((Assume h(x) = g(f(x))))
G --> K((Differentiate h(x) with respect to x))
H --> L((Multiply f'(g(x)) and g'(x)))
I --> M((Result is the derivative of the composite function))
J --> N((This is the composite function))
K --> O((This gives h'(x)))
L --> P((This is the Chain Rule))
M --> P
N --> O
