Derivative Visualizer

-
Derivative Visualizer

Derivative Visualizer

Allowed: + − × / ^, parentheses, x, and functions: sin, cos, tan, asin, acos, atan, exp or e^x, ln, log, sqrt, abs.
f(x) Secant Tangent f′(x)
Drag the point on the curve to move x₀.
Ready.

Comments

Post a Comment

Popular posts from this blog

A4 Paper Size Explained: Why 297 × 210 mm ?

-
A4 Paper Size Explained: Why 297 × 210 mm (ISO 216, √2 Ratio) A4 Paper Size Explained: Why 297 × 210 mm A practical, mathematical, and historical deep dive into ISO 216 and the √2 aspect ratio—ready to publish. Overview of iso 216 and the a-series A4 paper is defined as 297 × 210 mm under the ISO 216 standard. The A-series (A0, A1, A2, A3, A4, …) is built on a single aspect ratio, \\(\\sqrt{2}:1\\), which makes every halving or doubling preserve proportions. This design enables clean scaling across printers, copiers, and layouts, without reformatting. Key idea: Start from A0 with an area of 1 m². Each smaller size halves the area and keeps the same \\(\\sqrt{2}\\) ratio. Why the √2 aspect ratio is uniquely practical Self-similarity under halving Let w...
Read more

Integration for JEE: From Intuition to Mastery

-
Why Integration Matters (and Why It Can Feel Magical) Integration is how we turn tiny changes into big truths. It recovers distance from velocity, area from curves, work from forces, probability from densities. For JEE, it’s the bridge between differential calculus and real‑world quantities — a tool that compresses algebra, geometry, and limits into a single idea. Mastering integration is less about memorizing formulas and more about recognizing patterns, symmetry, and structure. Core Concepts at a Glance Indefinite integral: The family of antiderivatives. Definition: If F'(x)=f(x), then ∫f(x)dx = F(x)+C. Definite integral: Signed accumulation over an interval. Definition: ∫ a b f(x)dx = lim n→∞ Σ f(x i )Δx. Geometric meaning: Net area under the curve (positive above the x‑axis, negative below). Physical meaning: Accumulation of a rate (e.g., velocity → displacement, density → mass). The Fundamental Theorem of Calculus (FTC) Part I: If F(x)=∫ a x f...
Read more

Rank of Word

-
Word Rank Calculator (Permutation Rank) Find the lexicographic rank of a word with step-by-step reasoning. Handles repeated letters. Calculate rank STRING BANANA QUESTION MISSISSIPPI
Read more