The derivative of eˣ and ln x
The derivative of eˣ and ln x
Jul 15, 2023
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Finding the Derivative of e^x
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Why the Derivative of eˣ Stays eˣ
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Zen Math Foundations on Instagram: "Derivative of eˣ Explained Visually . derivative of eˣ, calculus explained, exponential function, derivative concept, maths animation, calculus basics, e power x derivative, visual learning maths, derivative graph, math explained simply, concept learning, maths for beginners, calculus trick, math visual concept, derivative tutorial, learn derivative, maths made easy . #Maths #Calculus #Derivative #ExponentialFunction #MathsReel #MathsForStudents #MathsLearning
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Zen Math Foundations on Instagram: "Derivative of eˣ Explai…
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Ilyas on Instagram: "e^x: 🤫🧏‍♂️🗿 ... When calculating derivatives, several common functions have straightforward rules. The derivative of the exponential function e^x is simply e^x itself, making it unique in calculus. The derivative of the natural logarithm \ln(x) is 1/x, which is fundamental for integrating rational functions. For power functions like x^n, you apply the power rule, which states that the derivative is nx^{n-1}. Finally, the derivatives of the trigonometric functions \sin(x)
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Ilyas on Instagram: "e^x: 🤫🧏‍♂️🗿 ... When calculating derivatives, sev…
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Phyxon on Instagram: "A function that differentiates itself — sounds impossible, right? 🤔 Meet the only number in the world that stays the same… even after differentiation 👑 Let’s prove why 𝑑/𝑑𝑥 (eˣ) = eˣ using the First Principle of Derivatives 📘 We start with: 𝑑/𝑑𝑥 f(x) = lim (h → 0) [(f(x + h) − f(x)) / h] Now substitute f(x) = eˣ ⤵️ 𝑑/𝑑𝑥 eˣ = lim (h → 0) [(e^(x + h) − eˣ) / h] Factor out eˣ ⤵️ = eˣ × lim (h → 0) [(eʰ − 1) / h] And this magical limit equals 1 lim (h → 0) [(eʰ − 1)
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Phyxon on Instagram: "A function that differentiates itself — sounds …
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