Practice question · Fill in the blanks
Fill in the key terms about differentiation rules.
The ______ gives d/dx[fg] = f'g + fg'. The ______ gives = (f'g − fg'). For composite functions the ______ multiplies the outer and inner derivatives.
Word bank: product rule · quotient rule · chain rule · power rule
Hints
- Each blank names the rule matching one structural pattern.
- Look at whether the expression is multiplied, divided, or nested.
Show the answer
The product rule gives d/dx[fg] = f'g + fg'. The quotient rule gives = (f'g − fg'). For composite functions the chain rule multiplies the outer and inner derivatives.
Why
Each rule has a distinct structural pattern for recognising when to apply it.
Practise Differentiation rules and composition
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