GR0568 Q2 Solution (Tangent to Graph)

This is indeed a GRE Math question that even high school students can solve!

Q2) Which of the following is an equation of the line tangent to the graph y=x+e^x at x=0?

(A) y=x
(B) y=x+1
(C) y=x+2
(D) y=2x
(E) y=2x+1

Solution:

Firstly, at x=0, y=0+e^0=1.

\frac{dy}{dx}=1+e^x=1+e^0=2

Substituting these values into y=mx+c, we get

1=2(0)+c, hence c=1.

Thus, the equation is y=2x+1.

Answer: (E)

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2 Responses to GR0568 Q2 Solution (Tangent to Graph)

  1. ivasallay says:

    What percentage of high school students study Calculus nowadays?

    Like

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