On the curve y = x2 + 1, point Q has the coordinates (1.3, 2.69). Estimate the slope of the curve at point Q by taking values very close to the x-coordinate of Q.

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asked Jul 11, 2023 156k views

2 Answers

Namanyay Goel · Answer 1 · 2023-07-17T15:30:50+0000

Slope = 2.6

The formula for calculating the slope of the line on the curve is expressed as:

Using the coordinate points B(1.266,2.606) and C(1.366, 2.866) as shown on the graph

$\begin{gathered} slope=(2.866-2.606)/(1.366-1.266) \\ slope=(0.26)/(0.1) \\ slope\approx2.6 \end{gathered}$

Hence the slope of the curve at point Q by taking values very close to the x-coordinate of Q is 2.6