WhyNot Science on Instagram: "Why the Derivative of eˣ Stays eˣ A tiny change in x, a tiny change in the output—and the rate of change always matches the value of e^x itself. Eminem spots the pattern, Trump explains the magic. The most iconic function in calculus, broken down in seconds. ⚠️DISCLAIMER⚠️: This is not real audio/video of Eminem or Trump, and They did not actually say or sing the things you see in the video. This is an AI-generated deepfake created purely for entertainment and educa

Mathematisa | Math Animations on Instagram: "✨The Taylor series (or Taylor expansion) of a function is an infinite sum that represents a function like e^x or cos(x) in terms of its derivatives at a single point. When the expansion is at 0, it’s called a Maclaurin series. The sum of the first n+1 terms forms the nth Taylor polynomial, which is a polynomial approximation of the function. As n increases, the approximation becomes more accurate. Taylor's theorem provides estimates of the error in th