Question

Differentiate y=(x+2)(x+5)

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Timmothy

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78 Answers

1. Apply the product rule: \frac{d}{dx} [u \cdot v] = u' \cdot v + u \cdot v'

2. Let \( u = x + 2 \) and \( v = x + 5 \).

3. Differentiate \( u \):u' = 1

4. Differentiate \( v \):v' = 1

5. Apply the product rule:

y' = (x + 2) \cdot 1 + (x + 5) \cdot 1

6. Simplify:

y' = (x + 2) + (x + 5)

y' = 2x + 7

Answer:

y' = 2x + 7

2. Let \( u = x + 2 \) and \( v = x + 5 \).

3. Differentiate \( u \):

4. Differentiate \( v \):

5. Apply the product rule:

6. Simplify:

Answer:

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