Ch 9: Calculating Derivatives and Derivative Rules in AP Calculus: Homework Help Resource
About This Chapter
How it works:
- Identify which concepts are covered on your calculating derivatives and derivative rules in AP calculus homework.
- Find videos on those topics within this chapter.
- Watch fun videos, pausing and reviewing as needed.
- Complete sample problems and get instant feedback.
- Finish your calculating derivatives and derivative rules homework with ease!
Topics from your homework you'll be able to complete:
- Using limits to calculate the derivative
- Calculating derivatives of trigonometric functions
- Calculating derivatives of polynomial and exponential equations
- Using the Chain Rule to differentiate complex functions
- Differentiating factored polynomials
- Using the Quotient Rule for differentiation
- Calculating higher order derivatives
- Finding derivatives of implicit functions
- Calculating derivatives of inverse trigonometric functions

1. Using Limits to Calculate the Derivative
Limits provide a way to identify the derivative in calculations and graphs. See how both constant and non-constant derivatives are calculated using limits, and how this translates from the equations to a graph.

2. The Linear Properties of a Derivative
Learning about the linear properties of a derivative in mathematics using the constant and distribute rules can broaden your maths repertoire. Read more about these mathematics functions and look at further examples.

3. Calculating Derivatives of Trigonometric Functions
The relationships between location and movement are modeled using trigonometric functions. Learn how to calculate the derivatives of and graph the primary trigonometric functions.

4. Calculating Derivatives of Polynomial Equations
Derivatives of polynomial functions can be solved in a simpler way by using the power rule for derivates. See how this rule can be used to solve vertical velocity functions, and how to find derivatives of polynomials through examples of the steps involved.

5. Calculating Derivatives of Exponential Equations
The derivatives of exponential equations are used to predict rates of change, and can be calculated using exponential equations. Understand the rules of derivatives when used in exponential equations through two examples of differing complexity.

6. Using the Chain Rule to Differentiate Complex Functions
The chain rule can be useful to connect different sections of equations together to differentiate the parts of nested equations. See examples of how the chain rule can help solve trig functions, and those without paratheses.

7. Differentiating Factored Polynomials: Product Rule and Expansion
The product rule is for differentiating products of functions. Learn more about the product rule, and see some examples of solving using the product rule and finding the derivative through expansion.

8. When to Use the Quotient Rule for Differentiation
The quotient rule can be used for differentiation when taking the derivative of a function divided by another function. Gain a better understanding of when to use the quotient rule and explore some examples in this lesson.

9. Understanding Higher Order Derivatives Using Graphs
A derivative of a derivative is called a higher-order derivative. Learn about the rate of change of Super C and acceleration as well as the higher order derivatives and second derivatives.

10. Calculating Higher Order Derivatives
Higher order derivatives, 2nd, 3rd, and 4th order derivatives, can be calculated using the change in rate of acceleration, known as 'jerk'. Learn how to find these higher order derivatives and the concept of 'jerk' in mathematics.

11. How to Find Derivatives of Implicit Functions
Implicit functions are those where both variables are expressed on either side of the equation, and can be simplified through a process known as implicit differentiation. See how this process can find derivatives of implicit functions and explore the steps involved.

12. How to Calculate Derivatives of Inverse Trigonometric Functions
A methodology to learn in maths is the functions of the inverse trigonometric function to calculate distances and angles. Learn more about how to calculate derivatives of inverse trigonometric and it's functions.

13. Applying the Rules of Differentiation to Calculate Derivatives
The rules of differentiation are useful to find solutions to standard differential equations. Identify the application of product rule, quotient rule, and chain rule to solving these equations through examples.
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Other Chapters
Other chapters within the AP Calculus AB & BC: Homework Help Resource course
- Functions in AP Calculus: Homework Help Resource
- Graphing and Functions in AP Calculus: Homework Help Resource
- Sequences and Series in AP Calculus: Homework Help Resource
- Limits in AP Calculus: Homework Help Resource
- Continuity in AP Calculus: Homework Help Resource
- Exponentials and Logarithms in AP Calculus: Homework Help Resource
- Exponents and Polynomials in AP Calculus: Homework Help Resource
- Applications of Derivatives in AP Calculus: Homework Help Resource
- Differential Equations in AP Calculus: Homework Help Resource
- Area Under the Curve and Integrals in AP Calculus: Homework Help Resource
- Graphing Derivatives and L'Hopital's Rule in AP Calculus: Homework Help Resource
- Integration and Integration Techniques in AP Calculus: Homework Help Resource
- Integration Applications in AP Calculus: Homework Help Resource
- Rate of Change in AP Calculus: Homework Help Resource
- Geometry and Trigonometry in AP Calculus: Homework Help Resource
- How to Use Scientific Calculators for AP Calculus: Homework Help Resource