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Calculus I · Calculus

Derivatives — Definition and Rules

The derivative measures instantaneous rate of change. It is defined as a limit of secant slopes, and all the differentiation rules encode this limit compactly.

WHAT STUDENTS WILL LEARN
Define the derivative as a limit of a difference quotient
Apply power, product, quotient, and chain rules
Differentiate trig, exponential, and logarithmic functions
Compute derivatives implicitly
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