MATH SOLVE

6 months ago

Q:
# Find the slope of the tangent line to the graph of y= X^2 + 2 at X=1

Accepted Solution

A:

Differentiate the given function with respect to x.
$$ \frac{\differentialD y}{\differentialD x}=\frac{\differentialD}{\differentialD x}\left(x^2+2\right)=2x $$
Now, find the slope of the line tangent to the graph of the function at x = 1.
$$ m=\frac{\differentialD y}{\differentialD x}\left(x=1\right)=2\left(1\right), $$
$$ m=2 $$