# 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 $y=2x+1$.

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## Author: mathtuition88

https://mathtuition88.com/

## 2 thoughts on “GR0568 Q2 Solution (Tangent to Graph)”

1. ivasallay says:

What percentage of high school students study Calculus nowadays?

Like

1. In Singapore it would be around 50%. Those students who take Additional Mathematics at age 16 would be exposed to calculus.

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