Question

The equation of a graph shown in figure is y=2x^2. The slope of the graph at point P is
a) 1
b)2
c)3
d)4

Answer 1

The answer is option d) 4.

Given:

$y=2x^2$

Point P [1,2]

To Find:

The slope of the graph

Solution:

$y=2x^2$

The slope of the graph is given by

$\frac{dy}{dx}= \frac{d 2x^2}{dx} \\\\\frac{dy}{dx}= 4x$

x at Point P is 1.

Therefore the slope of the graph at Point P is 4.

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