Question
Find the derivative of g(x)= 3/(5x+4)
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Answer to a math question Find the derivative of g(x)= 3/(5x+4)
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4.8110 Answers
1. Start with the function:
g(x)= \frac{3}{5x+4}
2. Express it as:
g(x)= 3(5x+4)^{-1}
3. Use the chain rule to find the derivative \( g'(x) \):
g'(x) = 3 \cdot (-1) \cdot (5x+4)^{-2} \cdot 5
4. Simplify the expression:
g'(x) = -\frac{15}{(5x+4)^2}
5. Answer is:
g'(x) = -\frac{15}{(5x+4)^2}
2. Express it as:
3. Use the chain rule to find the derivative \( g'(x) \):
4. Simplify the expression:
5. Answer is:
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