Master Derivatives

Learn everything from Derivatives, then test your knowledge with 180+ practice questions

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“A good discussion of background material working up to more complicated ideas. Good examples and quizzes that help the concepts sink in.”

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Course Summary

Learn everything you need to know to get through Derivatives and prepare you to go into Applications with a solid understanding of what’s going on. Video explanations, text notes, and quiz questions that won’t affect your class grade help you “get it” in a way most textbooks never explain.

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Course outline

The curriculum includes:

Definition of the derivative
- Difference quotient
- Definition of the derivative
Derivative rules
- Power rule
- Power rule, negative powers or powers in the denominator
- Product rule with two functions
- Product rule with three functions
- Quotient rule
- Reciprocal rule
Chain rule
- Chain rule with power rule
- Chain rule with product rule
- Chain rule with quotient rule
- Cahin rule with trig functions
Derivatives of trig functions
- Trigonometric derivatives
- Inverse trigonometric derivatives
- Hyperbolic derivatives
- Inverse hyperbolic derivatives

Derivatives of ln(x) and e^x
- Exponential derivatives (e^x)
- Logarithmic derivatives (ln(x))
- Logarithmic differentiation
- Derivative of x^x
Tangent and normal lines
- Tangent lines
- Making two tangent lines parallel
- Values that make the function differentiable
- Horizontal tangent lines and vertical tangent lines
- Differentiability
- Normal lines
- Average rate of change
Implicit differentiation
- Implicit differentiation
- Equation of the tangent line
- Second derivatives