What It Covers: Algebra to Calculus
VeilGPT handles the math most high school and college students see:
- Pre-algebra and algebra: linear equations, inequalities, systems, factoring, exponents, radicals.
- Geometry and trigonometry: angles, area and volume, the unit circle, identities.
- Precalculus: functions, logarithms, exponentials, sequences.
- Calculus: limits, derivatives, integrals, related rates, optimization.
- Statistics: probability, distributions, hypothesis tests.
It also reads word problems, so it can set up the equation before solving it. That setup is often the hardest part. See the algebra solver and calculus solver pages for subject examples.
A Worked Example: Algebra
Say you snap this problem: solve .
The step-by-step explanation would look something like this:
- Identify the form. This is a quadratic with , , .
- Try factoring. Multiply . Find two numbers that multiply to and add to : those are and .
- Split the middle term.
- Group. , so .
- Solve each factor. gives , and gives .
The answer chip shows . The bulb shows the steps. For more on this method, see how to factor quadratics.
A Worked Example: Calculus
Now a derivative: find .
- Spot the structure. It is a product of and , so use the product rule: .
- Differentiate each piece. gives . gives by the chain rule.
- Combine.
- Factor (optional).
Notice how each step names the rule being used. That is what you need to know on a test. If the product rule or chain rule feels shaky, the derivative rules guide covers all of them.
Typing vs Snapping
There are two ways to get a math problem into a solver, and each has a place.
Snapping is better when:
- The problem has fractions, exponents, roots or symbols that are slow to type.
- The problem is an image, a PDF or part of a graph.
- You want to avoid typos. One wrong sign gives you a solution to a different problem.
With VeilGPT, press the camera button in the corner of the page, or use snap a box (Alt+Shift+S) to drag around a single problem.
Typing is better when:
- You are working from a paper worksheet or a textbook.
- You want to change a number to test your understanding ("what if it were instead?").
- You want to ask a conceptual question, like "when do I use substitution vs elimination?"
For typing, use the side panel chat or the web chat.
How to Verify a Solution
Even a good solver can misread a problem or make an error. Before you trust any answer:
- Check the problem was read correctly. Compare what the solver restated with what is on your screen, especially signs and exponents.
- Substitute back in. For : . For : . Both check.
- Differentiate or integrate in reverse. An antiderivative should differentiate back to the original function.
- Graph it. Solutions to should be where the graph crosses the x-axis.
- Ask a follow-up in the side panel if a step does not make sense (part of Plus).
VeilGPT explains; it never types, fills in or submits answers. Use it to understand the method, then try a similar problem on your own. On tests and graded checks, follow your instructor's rules.