Question
Differentiate y=(x+2)(x+5)
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Answer to a math question Differentiate y=(x+2)(x+5)
Timmothy
4.899 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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