dudely

AI Math Tutor That Teaches You, Not Just Solves It

Most math tools hand you an answer. You copy it down, and the next problem still stumps you. Dudely teaches the way a good tutor at a whiteboard does: it writes the problem, works it one line at a time, says what it is doing and why, and points at the exact term it is talking about.

When you get stuck, it does not just show the solution. It finds the specific step you missed, re-teaches that gap, and asks you to try again. It will not move on until the idea has actually landed.

What it covers

CalculusDerivatives and integralsDifferential equationsLinear algebraAlgebra and precalculusProbability and statistics

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Derivatives

A derivative measures how fast a function changes at a point. Geometrically it is the slope of the tangent line to the curve. Physically, the derivative of position with respect to time is velocity. You compute it with rules like the power, product, quotient, and chain rules.

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Chain rule

The chain rule differentiates a composed function, one function inside another. It says the derivative of f(g(x)) equals f'(g(x)) times g'(x): differentiate the outer function while keeping the inner one unchanged, then multiply by the derivative of the inner.

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Limits

A limit is the value a function approaches as its input approaches some point, even if the function is undefined exactly there. Limits are the foundation of calculus: continuity, derivatives, and integrals are all defined using them.

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Integration by parts

Integration by parts is a technique for integrating a product of two functions. It comes from the product rule in reverse, and its formula is: the integral of u dv equals u v minus the integral of v du. You pick one factor as u and the rest as dv.

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Quadratic formula

The quadratic formula solves any equation of the form ax^2 + bx + c = 0. The solutions are x = (-b plus or minus the square root of (b^2 - 4ac)), all divided by 2a. The part under the root, b^2 - 4ac, is the discriminant and tells you how many real solutions exist.

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Eigenvalues and eigenvectors

For a square matrix A, an eigenvector is a nonzero vector whose direction does not change when A is applied to it, it only gets scaled. The scaling factor is its eigenvalue. They satisfy A times v equals lambda times v, where lambda is the eigenvalue.

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Laplace transform

The Laplace transform converts a function of time into a function of a complex variable s. It turns calculus operations like differentiation into algebra, which makes differential equations solvable by ordinary algebra and is the backbone of signals, systems, and control theory.

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Bayes' theorem

Bayes' theorem updates a probability when you get new evidence. It relates the probability of a cause given the evidence to the probability of the evidence given the cause. In words: posterior equals prior times likelihood, divided by the total probability of the evidence.

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Frequently asked questions

Is Dudely better than a math solver like Photomath or Symbolab?

Solvers give you the steps to one problem. Dudely teaches the concept so you can do the next problem yourself. It builds the working live, explains the reasoning, and checks your understanding with the mastery loop.

What math can Dudely teach?

Algebra through university math: calculus, differential equations, linear algebra, probability, and statistics. You can type a topic, paste a problem, or upload a photo of your homework.

Is it free?

Yes. The free tier gives you 10 minutes of live tutoring a day with no credit card. Paid plans add more daily time.

Get unstuck in math, live

Type a topic and watch Dudely build the explanation live on a whiteboard. Free to start, no credit card.

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