The derivative of a constant is equal to zero.

A derivative is a function that gives the slope at some x value.

The power rule is used to find the derivative of monomials.

๐ The derivative of x^7 is 42x^6, derived using the power rule.

๐ The definition of the derivative is f'(x) = lim(h->0) [(f(x+h) - f(x))/h].

๐ Derivatives give the slope of the tangent line at any x value on a curve.

๐ The slope of the tangent line can be approximated by calculating the slope of the secant line between two points that are close to the desired point.

โ๏ธ The derivative of a polynomial function can be found by differentiating each term separately using the power rule and the constant multiple rule.

๐ The derivative is a function that gives the slope of the tangent line at a specific x-value, allowing for the approximation of the tangent line.

๐ The video discusses how to find the derivative of a given function using the constant multiple rule and power rule.

๐ข It explains how to find the slope of a tangent line at a specific point by finding the derivative of the function and plugging in the x-value.

โ The video also demonstrates how to find the derivative of rational functions and provides examples to illustrate the process.

๐ Finding derivatives of radical functions and monomials.

๐งฎ Using the power rule to find derivatives of rational exponents.

๐ข Applying the chain rule to expand expressions with exponents.

๐ The video explains how to find derivatives using the FOIL method and simplify expressions.

๐ข It also covers finding derivatives of polynomials and trigonometric functions.

โ๏ธ The product rule is introduced as a method for finding the derivative of functions multiplied together.

๐ The video explains how to find the derivative of a product of two functions using the product rule.

โจ It then extends the concept to find the derivative of a product of three functions using the same rule.

๐ข Finally, it demonstrates the use of the quotient rule to find the derivative of a fraction.