Several high schools participated in a study to evaluate the effectiveness of a new computer-based math curriculum. In all these
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We have the following curve:
So we need to find <span>an equation of the tangent line to this curve at the point
. So let's find out if this point, in fact, belongs to the curve:
</span>
.
<span>
We also know that:
</span>
<span>
Given that the point is:
</span>
Then we will say that:
Therefore:
Computing the derivative:
So the derivative solved for
is in fact the slope of the line at the point , then:
Finally, the tangent line is:
<em>This is shown in the figure below.</em><span>
</span>
So we need to find <span>an equation of the tangent line to this curve at the point
</span>
<span>
We also know that:
</span>
Given that the point is:
</span>
Then we will say that:
Therefore:
Computing the derivative:
So the derivative solved for
Finally, the tangent line is:
<em>This is shown in the figure below.</em><span>
</span>
Answer:
You can write any numbers between 0.2 and 0.5 which follow irregular patterns like this.