Polynomial or general nonlinear functions are developed with Numpy and Scipy in Python. These exercises also cover methods to create linear or spline interpolations that interpolate between data points.

👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...

This video will teach you the basics of calculating the derivative of simple polynomials and exponential functions using the constant multiple, sum and difference rule.

👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable...

In this video, the teacher explains how to write the equation of a polynomial by analyzing its x-intercepts. They demonstrate the process using different graphs and explain the importance of factored form and the multiplication property...

In this lesson, we observe that as X approaches infinity, both polynomial and exponential functions approach infinity. However, through examples and graphs, we discover that exponential functions eventually surpass polynomial functions...

👉 Learn how to write the equation of a line that is parallel to a given line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms...

👉 Learn how to write the equation of a polynomial when given imaginary zeros. Recall that a polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The...

👉 Learn how to find all the zeros of a polynomial given one complex zero. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a...

👉 Learn how to find all the zeros of a polynomial that cannot be easily factored. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros...

👉 Learn how to find all the zeros of a polynomial given one rational zero. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a...

👉 Learn how to find the derivative of a function using the power rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative...

👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...

Derivatives Using Power (Exponent) Rule

👉 Learn how to find all the zeros of a polynomial. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the values...

In this video, the teacher explains how to evaluate polynomials for a given value using substitution. They go through the order of operations and provide examples to illustrate the process.

👉 Learn how to find all the zeros of a polynomial given one rational zero. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a...

Learn how to rewrite a quadratic expression so that all of the variable terms are contained in a perfect square. We explore this process using area blocks and show how to complete the square in an expression. We also emphasizes the...

How can we "fill in" the data points between discrete data? How can we extend beyond our data points? • Learn linear interpolation • Learn polynomial interpolation • See the dangers of extrapolation

👉 Learn how to determine the concavity of a function. A function is said to be concave up (convex) if the graph of the curve is facing upwards and the function is said to be concave down (concave) if the graph is facing down. To test for...