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UPSC NDA 2 2019 Mathematics Solved Paper

Directions (Q. Nos. 76 to 78):Read the following information and answer the three items that follow:

A curve

y=me^{mx}

where m > 0 intersects y-axis at a point P.

[NDA II 2019]

Question : 76 of 120

Marks: +1, -0

Solution: 👈: Video Solution

y=me^{mx},m>0

Differentiate w.r.t. x, we get

\therefore\;\;\frac{dy}{dx}=m^{2}e^{mx}

\left(\frac{dy}{dx}\right)_{(0,m)}=m^{2}

∴Slope

=m^{2}

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