Learn what derivatives are and how Wolfram Alpha calculates them. Enter your queries using plain English. To avoid ambiguous queries, make sure to use parentheses where necessary. Here are some examples illustrating how to ask for a derivative.
Get immediate feedback and guidance with step-by-step solutions and Wolfram Problem Generator. Given a function , there are many ways to denote the derivative of with respect to. The most common ways are and.
When a derivative is taken times, the notation or is used. These are called higher-order derivatives. Note for second-order derivatives, the notation is often used. At a point , the derivative is defined to be.
This limit is not guaranteed to exist, but if it does, is said to be differentiable at. Geometrically speaking, is the slope of the tangent line of at. At this point on the curve, it slopes upwards, hence a positive derivative. Another way of looking at a derivative is the slope of a tangent line at a specific point. A tangent line is a line which touches a function without crossing it at a specific point.
Finding a tangent line to a curve is one of the most elementary uses of the derivative. This image shows the derivative at various points as the slope of a tangent line. When the derivative is positive, the line is green. When the derivative is negative, the line is red. When it is zero, the line is black. Unfortunately, this function only returns the derivative of a single point. While there is no built-in function on the TI Plus and TI Plus to take a derivative in general, you can read more about using an application to enable this functionality here.
Next, enter the function you want to differentiate, press , , enter the function variable, and add a closing parenthesis to finish the expression. Instead of calculating a specific value, the calculator displays a general expression for the derivative. You can also specify a specific x value to calculate the exact value of the derivative at a single point.
You can also select the output of the derivative function to evaluate it at a single point. Your email address will not be published. Notice: It seems you have Javascript disabled in your Browser.
0コメント