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Power, Constant, and Sum Rules

Mathematics · Class 12

d(x^n)/dx=n x^(n-1); differentiate sums term by term and constants to zero.

Power, constant, and sum rules
rule
worked example
Power, constant, and sum rules: d(x^n)/dx=n x^(n-1); differentiate sums term by term and constants to zero.
CONCEPT AND RULE: d(x^n)/dx=n x^(n-1); differentiate sums term by term and constants to zero.
METHOD: For power, constant, and sum rules, identify the given information and required result. Select the m
d(x^n)/dx=n x^(n-1); differentiate sums term by term and constants to zero.
Worked pattern: d(4x³-2x+7)/dx=12x²-2.

Right triangle — Power, Constant, and Sum Rules — original sketch for this lesson (not copied from a textbook).