Difference Quotient Explained with Example | f(x) = 2x² + x + 3

Описание: Welcome back to my channel! 📚 In this video, we break down a very common but important concept in **Calculus and Pre-Calculus**:

$$
\frac{f(x+h) - f(x)}{h}
$$

We are given a function:

$$
f(x) = 2x^2 + x + 3
$$

And we're asked to find:

$$
\frac{f(x+h) - f(x)}{h}
$$

📌 *What You'll Learn:*

How to correctly substitute $x+h$ into a given function
How to simplify expressions involving binomial expansion
How to cancel like terms and divide by $h$
A step-by-step derivation of the simplified expression
A bonus problem: Find $\frac{f(x - h) - f(x)}{h}$ and comment your answer!

🧠 This video is perfect for students learning:

Limits and derivatives
The concept of the difference quotient
Basics of Calculus
JAMB, WAEC, NECO, SSCE, and first-year university Calculus

💬 Drop your answers to the *bonus question* in the comments below:
👉 What is $\frac{f(x - h) - f(x)}{h}$?

🔔 *Don't forget to Like 👍, Share ↗️, and Subscribe 🔔 for more math tutorials!*
Peace of the Lord be with you as you learn 🙏

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Use 2–3 of these in your video description:
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