Mathematics - Calculus - Differential - Chain rule - Functions Inside Functions

Present 5 composite functions and ask 'What's the OUTER function and INNER function?' For each: (1) (3x+1)⁵: outer=( )⁵, inner=3x+1. (2) sin(x²): outer=sin( ), inner=x². (3) e^(2x): outer=e^( ), inner=2x. (4) √(x³+1): outer=√( ), inner=x³+1. (5) ln(sin(x)): outer=ln( ), inner=sin(x). Student selects

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Mathematics - Calculus - Differential - Chain rule - Functions Inside Functions
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Mathematics - Calculus - Differential - Chain rule - Functions Inside Functions

vivmagarwal
vivmagarwalJan 29, 2026

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Present 5 composite functions and ask 'What's the OUTER function and INNER function?' For each: (1) (3x+1)⁵: outer=( )⁵, inner=3x+1. (2) sin(x²): outer=sin( ), inner=x². (3) e^(2x): outer=e^( ), inner=2x. (4) √(x³+1): outer=√( ), inner=x³+1. (5) ln(sin(x)): outer=ln( ), inner=sin(x). Student selects

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MathematicsCalculus - Differential

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