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Comprehension

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)?

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NDA (Held On: 17 Nov 2019) Maths Previous Year paper
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  1. -40
  2. -20
  3. -10
  4. 0

Answer (Detailed Solution Below)

Option 2 : -20
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Detailed Solution

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Calculation:

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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