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Derivatives: definition and basic rules

Average vs. instantaneous rate of change

Secant lines

Derivative definition

Estimating derivatives

Differentiability

Power rule

Derivative rules: constant, sum, difference, and constant multiple

Combining the power rule with other derivative rules

Derivatives of cos(x), sin(x), 𝑒ˣ, and ln(x)

Product rule

Quotient rule

Derivatives of tan(x), cot(x), sec(x), and csc(x)

Proof videos

Derivatives of cos(x), sin(x), 𝑒ˣ, and ln(x)

Explore derivatives of cos(x), sin(x), eˣ, and ln(x), mastering their rules to solve calculus problems with precision and confidence.

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VIDEOS

Derivatives of sin(x) and cos(x)

Khan Academy

9th - 12th Grade

10 Qs

Worked example: Derivatives of sin(x) and cos(x)

Khan Academy

9th - 12th Grade

10 Qs

Derivative of ln(x)

Khan Academy

9th - 12th Grade

10 Qs

Derivative of 𝑒ˣ

Khan Academy

10th - 12th Grade

10 Qs

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