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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Author: mathtuition88

Math and Education Blog View all posts by mathtuition88

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

What percentage of high school students study Calculus nowadays?

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mathtuition88 says:

March 7, 2015 at 8:39 am

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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Author: mathtuition88

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

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