Introduction: Many composite functions can be differentiated without splitting the function into two parts. If this is not possible, you must use the chain rule.
Rule: Let y(x)=u(v(x)) be a Composite function. Then:
y′(x)=u′(v(x))⋅v′(x).
Rule: Let y(x)=u(v(x)) be a Composite function. Then:
y′(x)=u′(v(x))⋅v′(x).