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NDA2019MathematicsApplication of DerivativesActual

Paragraph: A curve y = m e^ m x where m > 0 intersects y-axis at a point P. Question: What is the slope of the curve at the point of intersection P ?

Options

  1. Am
  2. Bm^2
  3. C2 m
  4. D2 m^2

Correct answer

B. m^2

Step-by-step solution

Given y=m e^ m x , m 0 for slope, differentiate w.r.t. x d y d x = d d x (m e^ m x ) aligned & d y d x =m^2 e^ m x & ( d y d x )_ (0, m) =m^2 aligned

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