3.1K
MAGraphs of the functions #graphs #viralreels #viral #maths
@mathematicshub01
#Exponential Function Formula Derivation
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BR#exponential Function: Detailed #graph anatomy #mathematics #math #maths #mathteacher #MTBoS #iteachmath #algebra #exponential #mathhelp #mathteacher #mathteachersofinstagram #mathteachertribe #stem #stemeducation #steamed
@brzezinski_math
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THDerivation of Quadratic Formula
🛠️ The Derivation Process
The process starts with the general form of the quadratic equation, ax^2 + bx + c = 0, where a, b, and c are constants.
Normalization: First, the entire equation is divided by a (assuming a is not zero) to make the coefficient of the x^2 term equal to 1.
Isolation: The constant term, c/a, is moved to the right side of the equation, leaving only the x terms on the left.
Completing the Square: This is the core step. A specific value is added to both sides of the equation to make the expression on the left side a perfect square trinomial. This value is (b/2a)^2, which is half the coefficient of the x term, squared.
Factoring and Simplification:
The left side is now factored into a squared binomial of the form (x+b/2a)^2.
The right side is simplified by finding a common denominator, which allows the two fractions to be combined into a single fraction.
@theti84calc
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MADifferentiation and integration formula
#trendingreels #highlights #students #viralvideos #mathmania18
@mathmania18
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MALinear, quadratic, exponential, and trigonometric functions each represent different types of mathematical relationships. A linear function has the form f(x) = mx + b and represents a constant rate of change, producing a straight line on a graph. A quadratic function is written as f(x) = ax² + bx + c and creates a curved graph called a parabola, showing a changing rate of increase or decrease. Exponential functions, like f(x) = a * b^x, grow or decay very quickly, where the output increases (or decreases) by a fixed percentage rather than a fixed amount. Trigonometric functions, such as sine and cosine, are used to model repeating or wave-like behavior, making them useful for studying cycles, angles, and motion. These four types of functions are foundational in understanding patterns and changes in both math and real-life situations.
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@mathswithmuza
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MAEuler’s formula is one of those math ideas that feels almost too perfect to be real. It says that e to the power of i times x equals cos(x) plus i times sin(x). That might sound a bit technical, but what it really does is connect three very different parts of math—exponentials, imaginary numbers, and trigonometry—all in one clean equation. It shows up all over the place, from electrical engineering to quantum physics, and helps make sense of how waves and rotations work in the complex plane.
One of the coolest things about Euler’s formula is what happens when you plug in pi for x. You get e^(i * pi) + 1 = 0. Somehow, this simple equation brings together five of the most important numbers in math: e, i, pi, 1, and 0. It’s often called the most beautiful equation in mathematics, and for good reason—it’s like finding a hidden connection between totally different parts of the universe. Even people who don’t usually get excited about math are kind of blown away by how neat it is.
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@mathswithmuza
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MADifferentiation and integration formula, Calculus formulas
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#reelsinstagram #reels #calculus #mathstudy #différentiation #integration #mathshacks #vedicmaths #class11th #class12maths #integral
@maths_is_easy_insta
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MA✨️video’s Manim code Link in bio- easy, fully explained & customizable.
Differentiation Made Simple! ✨️
In mathematics, differentiation is the process of finding the derivative of a function — the measure of how fast something changes. 🚀 It’s the foundation of calculus, showing us the instantaneous rate of change and the slope of a curve at a point. From velocity in physics to growth rates in economics, differentiation is everywhere. 🌍
👉 Why it matters:
✅ Understand how curves behave at every point.
✅ Learn why derivatives = slopes of tangents.
✅ See how the limit definition connects secant lines to tangents.
✅ Build stronger intuition for solving real-world problems.
🌟 Whether you’re studying for AP Calculus (US), A-Level Maths (UK), IB Math, or university-level engineering & science courses, mastering differentiation will unlock higher-level math and problem-solving. Perfect for exam prep, competitive exams, and self-study.
💡 Differentiation is not just for exams — it’s the language of physics, engineering, computer science, data science, economics, and AI. Once you understand it, you see change everywhere!
🚀 If you’ve ever wondered “how fast is this changing right now?” — that’s differentiation in action.
#differentiation #calculus #learnmath #fyp #views #likeme #explore
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@mathematisa
8.1K
MADIFFERENTIATION & INTEGRATION,🌼
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#maths #mathematics #formula1 #viralreel #trendingreel
@maths_mentor24
154.7K
TH📈 Extrema of a Function: Peaks & Valleys! ⛰️✨
• Extrema are the highest and lowest points of a function—its maximums and minimums. They’re where curves reach their peaks or dips! 🎯
• Why it’s awesome:
Finding extrema helps us optimize—whether it’s max profit, min cost, or best design. ⚡
• Where it’s used:
💸 Economics – Maximizing revenue & minimizing risk
🌍 Engineering – Strongest structures with least material
🔬 Physics – Energy minimization in natural systems
🧠 Math – Optimization & calculus fundamentals
#mathematics #physics #animation #derivatives #calculus #geometry #functions #algebra #fyp #likeme #views
@the_mathsensei
218.8K
AKDifferentiation is a fundamental concept in calculus that measures the rate of change of a function with respect to its input. In essence, it helps us understand how a function changes as its input changes.
Key Aspects
1. *Rate of Change*: Differentiation calculates the rate at which a function changes as its input changes.
2. *Slope of a Curve*: Geometrically, differentiation represents the slope of a curve at a given point.
3. *Derivative*: The result of differentiation is called the derivative of the function.
Applications
1. *Physics and Engineering*: Differentiation is used to describe the motion of objects, including velocity and acceleration.
2. *Economics*: Differentiation is used to model economic systems, including supply and demand curves.
3. *Optimization*: Differentiation is used to find the maximum or minimum of a function, which is crucial in fields like business and finance.
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@akash.1prajapati
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MA✨️Code Link in bio- ✨️This formula is a 'cornerstone of Calculus', forming the basis for differentiation rules used in physics, engineering, computer science, and more.
If you’re a student of calculus, mathematics, IIT-JEE, university math, or just curious about how things are derived, this video is for you!
👨🏫 Learning math by derivations, not just formulas, gives you clarity, confidence, and problem-solving power.
#views #likeme #fyp #differentiation 💡 Comment below: Do you prefer only using formulas or also learning how they are derived?
@mathematisa
✨ #Exponential Function Formula Derivation Discovery Guide
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