Math Cheat Sheet - Derivative Short-Cut Formulas

A Math Cheat Sheet - Derivative Short-Cut Formulas is a document that provides a summary of formulas and techniques used to find the derivatives of functions in mathematics. It helps students understand and apply shortcut methods for calculating derivatives.

FAQ

Q: What is a derivative?
A: A derivative measures the rate at which a function's output changes as its input changes.

Q: What are the derivative short-cut formulas?
A: The derivative short-cut formulas are simple rules to help find the derivative of common functions.

Q: What is the derivative of a constant?
A: The derivative of a constant is zero.

Q: What is the derivative of x?
A: The derivative of x is 1.

Q: What is the derivative of x^n?
A: The derivative of x^n is n * x^(n-1), where n is a constant.

Q: What is the derivative of sin(x)?
A: The derivative of sin(x) is cos(x).

Q: What is the derivative of cos(x)?
A: The derivative of cos(x) is -sin(x).

Q: What is the derivative of tan(x)?
A: The derivative of tan(x) is sec^2(x).

Q: What is the derivative of e^x?
A: The derivative of e^x is e^x.

Q: What is the derivative of ln(x)?
A: The derivative of ln(x) is 1/x.

Q: What is the derivative of a sum or difference of functions?
A: The derivative of a sum or difference of functions is the sum or difference of their individual derivatives.

Q: What is the derivative of a product of functions?
A: The derivative of a product of functions can be found using the product rule.

Q: What is the derivative of a quotient of functions?
A: The derivative of a quotient of functions can be found using the quotient rule.