Calculus: Limits, Derivatives & Integrals

Subject: Math  ·  Grade level: College

Two big ideas: derivatives (instant rate of change) and integrals (total accumulation). Algebra describes static equations. Calculus describes things that mov

In this lesson

• Limits in one minute
• Derivatives: the slope at a point
• Integrals: area under the curve
• Why anyone cares

Key terms

Derivative

Instantaneous rate of change of a function.

Power rule

d/dx [xⁿ] = n · xⁿ⁻¹.

Tangent line

A line that just touches a curve at one point with the same slope.

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