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Explain cellular respiration to me
**Cellular respiration** is how your cells convert nutrients into energy. The overall equation is:$$C_6H_{12}O_6 + 6O_2 \rightarrow 6CO_2 + 6H_2O + \text{ATP}$$This happens in the **mitochondria** — the powerhouses of the cell.
Can you give me a real-world example?
Think of mitochondria like tiny power plants. Just as a city needs electricity to function, your cells need **ATP** to move, grow, and repair. A single cell can contain between $1{,}000$ to $2{,}500$ mitochondria!
Test my understanding!
Great idea! In the equation $C_6H_{12}O_6 + 6O_2 \rightarrow 6CO_2 + 6H_2O$, what are the **reactants** and what are the **products**?
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What is the derivative of sin(x)?
The derivative of $\sin(x)$ is $\cos(x)$. Think of it this way: if $\sin(x)$ describes a wave, then $\cos(x)$ tells you how fast that wave is changing at every point. That's the beauty of calculus!
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