The ESSENCE of LIMITS in CALCULUS (Explained with a Difference Quotient)
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YouTubeBill Kinney
The ESSENCE of LIMITS in CALCULUS (Explained with a Difference Quotient)
In this quick calculus breakdown, we simplify the difference quotient for the function f(x) = x² + 5x − 4 after it’s already been reduced to (h² + 9h) / h. In this clip, I show why this simplifies to h + 9, but I also highlight the crucial idea that h must not be zero when we cancel. Even though the two expressions are not equal at h = 0 ...
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Professor V 👩‍🏫 on Instagram: "🤔 What is the Gradient?? Here’s a quick snippet from my full video breaking down the gradient — the generalized derivative for functions of several variables. It’s the vector of partial derivatives that points in the direction of steepest increase and whose length gives the maximum rate of change. Want the full breakdown with worked examples? Watch it now on my YouTube channel Math with Professor V (link in bio). 💛 Save this for your next exam review! ⸻ #WhatIs
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