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NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Differentiation

NDA 2019 · Mathematics · Differentiation

Paragraph: Let f(x)=x^2+2 x-5 and g(x)=5 x+30 Question: If h(x)=5...

Paragraph: Let f(x)=x2+2x−5f(x)=x^2+2 x-5 and g(x)=5x+30g(x)=5 x+30
Question: If h(x)=5f(x)−xg(x)h(x)=5 f(x)-x g(x), then what is the derivative of h(x)h(x) ?

Options

  1. A-40
  2. B-20
  3. C-10
  4. D0

Correct answer

B. -20

Step-by-step solution

h(x)=5f(x)−xg(x)=5[x2+2x−5]−x[5x+30]=−20x−25∴h′(x)=−20\begin{aligned} & h(x)=5 f(x)-x g(x) \\ & =5\left[x^2+2 x-5\right]-x[5 x+30] \\ & =-20 x-25 \\ & \therefore \quad h^{\prime}(x)=-20\end{aligned}
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