Key Takeaways
Lesson Description
Key Takeaways
• The Chain Rule differentiates composite functions.
• Implicit differentiation finds derivatives without solving for y.
• Inverse functions require special derivative rules.
• Exponential, logarithmic, and trigonometric functions each have unique derivatives.
• The derivative of an inverse function depends on the derivative of the original function.
Must Know Equations
Chain Rule:
(f(g(x)))' = f'(g(x))·g'(x)
Derivative of eˣ:
d/dx(eˣ)=eˣ
Derivative of ln(x):
d/dx(lnx)=1/x
Must Know Vocabulary
Chain Rule
Implicit Differentiation
Inverse Function
Natural Logarithm
Exponential Function
AP Exam Focus
• Apply the Chain Rule correctly.
• Differentiate implicit equations.
• Differentiate exponential and logarithmic functions.