Topic explanation

Standard explanation

For y=f(g(x)), y'=f'(g(x))g'(x); differentiate outside, keep inside, multiply by inside derivative.

Key points

• Chain rule
• rule
• worked example
• Chain rule: For y=f(g(x)), y'=f'(g(x))g'(x); differentiate outside, keep inside, multiply by inside derivative.
• CONCEPT AND RULE: For y=f(g(x)), y'=f'(g(x))g'(x); differentiate outside, keep inside, multiply by inside derivative.
• METHOD: For chain rule, identify the given information and required result. Select the matching definition o
• For y=f(g(x)), y'=f'(g(x))g'(x); differentiate outside, keep inside, multiply by inside derivative.
• Worked pattern: d(3x+1)⁵/dx=15(3x+1)⁴.

Labelled diagram