Topic explanation

Standard explanation

For y=uv, y'=u'v+uv'; differentiating each factor separately and multiplying is wrong.

Key points

• Product rule
• rule
• worked example
• Product rule: For y=uv, y'=u'v+uv'; differentiating each factor separately and multiplying is wrong.
• CONCEPT AND RULE: For y=uv, y'=u'v+uv'; differentiating each factor separately and multiplying is wrong.
• METHOD: For product rule, identify the given information and required result. Select the matching definition
• For y=uv, y'=u'v+uv'; differentiating each factor separately and multiplying is wrong.
• Worked pattern: d[x² sin x]/dx=2x sin x+x² cos x.

Labelled diagram