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Visualizing Derivative of x² → 2x | Live Graph Animation #calculus #derivative #mathvisual #maths
This video presents a clean and intuitive visualization of the function f(x)=x² and its derivative f′(x)=2x using smooth mathematical animation. The top graph displays the quadratic function, forming a symmetric parabola, while the bottom graph dynamically builds the derivative, which is a straight line representing the slope at every point ...
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🔥EXPLANATION🔥: 1st one in the Limit Definition of a derivative. Its learned bc it explains what a derivative actually is. Without it, you can't understand why the other derivative rules work. The second formula is the power rule. It only works for power functions but it is a lot simpler and faster. . . . . . . #mathmemes #calculus #calculusmemes
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For the first one, the derivative and integral of e^x is just e^x. For the second one, limits and power rule are only the basics of the average calc class. For the third one, as I said, d/dx of e^x = e^x. e^x is the only function that has this property. For the last one, cos(60) and sin(30) both equal 1/2, and also tan(26.565) is also about 1/2. . . . . #calculusmemes #calculus #mathmemes
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