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Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
- Graph a Function
Graph a Function - Graphing Calculator - Desmos
- 3D Graph
3D Graph - Graphing Calculator - Desmos
- 3-Dimensional Graphing Calculator
3-Dimensional Graphing Calculator - Graphing Calculator -...
- Line Graph
Line Graph - Graphing Calculator - Desmos
- Log & Exponential Graphs
Log & Exponential Graphs - Graphing Calculator - Desmos
- Graphing Linear Inequalities Systems
Graphing Linear Inequalities Systems - Graphing Calculator -...
- Vector Field Generator
Vector Field Generator - Graphing Calculator - Desmos
- Graphing a Quadratic Equation
Graphing a Quadratic Equation - Graphing Calculator - Desmos
- Graph a Function
Free functions calculator - explore function domain, range, intercepts, extreme points and asymptotes step-by-step.
The calculator will instantly simplify the expression and provide the result, helping you save time and effort. For more complex expressions, the calculator offers step-by-step solutions, aiding in understanding the simplification process.
Example 1. Sketch the graph of g(x) = √x + 4. Solution: Begin with the basic function defined by f(x) = √x and shift the graph up 4 units. Answer: A horizontal translation is a rigid transformation that shifts a graph left or right relative to the original graph.
x y' (x) - 4 y (x) = x^6 exp (x), y (1) = 0. See the steps for using Laplace transforms to solve an ordinary differential equation (ODE): solve y' (t) - 3y (t) = delta (t - 2), where y (0) = 0.
4 Answers. Sorted by: 7. For the case where f(x) is linear, a nice u -substitution works. I assume you know how to integrate ∫ exdx? So in order to integrate a function of the form ef (x), let u = f(x), and thus du =f, which allows you to 'solve' for dx in terms of du. Then your original integral goes from: ∫ef (x) dx to ∫ eu f ′ (x)du.
Covariance formula E [XY ] − E [X ]E [Y ], or “expectation of product minus product of expectations” is frequently useful. Note: if X and Y are independent then Cov(X , Y ) = 0.
