Question
Download Solution PDFComprehension
Directions: Read the following information and answer the three items that follow:
Let f(x) = x2 + 2x – 5 and g(x) = 5x + 30
If h(x) = 5f(x) – xg(x), then what is the derivative of h(x)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
Given: h(x) = 5f(x) – xg(x), where f(x) = x2 + 2x – 5 and g(x) = 5x + 30
⇒ h(x) = 5 × (x2 + 2x – 5) – x × (5x + 30)
⇒ 5x2 + 10x – 25 – 5x2 - 30x
⇒ h(x) = -20 x – 25
⇒ h’(x) = - 20.
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