Key Takeaways
Lesson Description
Key Takeaways
• The derivative represents instantaneous rate of change.
• The derivative is the slope of the tangent line.
• Differentiability requires continuity.
• Basic derivative rules simplify differentiation.
• The Power Rule is one of the most important derivative formulas.
Must Know Equations
Derivative Definition:
f'(x)=lim(h→0)[f(x+h)-f(x)]/h
Power Rule:
d/dx(xⁿ)=nxⁿ⁻¹
Must Know Vocabulary
Derivative
Instantaneous Rate of Change
Tangent Line
Power Rule
Differentiable
AP Exam Focus
• Find derivatives using the limit definition.
• Apply basic differentiation rules.
• Interpret derivatives in context.