Find the equation of the tangent line to the curve at the given point.
y=
Find the equation of the tangent line to the curve at the given point.
y=
Consider the slope of the given curve at each of the five points shown. List these five points in decreasing order of the slopes.
On a separate piece of paper, sketch the graph of the parabola y=x2+3. On the same graph, plot the point (0,−4). Note that there are two tangent lines of y=x2+3 that pass through the point (0,−4).
Specifically, the tangent line of the parabola y=x2+3 at the point (a,a2+3) passes through the point (0,−4) where a>0. The other tangent line that passes through the point (0,−4) occurs at the point (−a,a2+3).
Find the number a.
Let f(x)={xsin−10x0 if x≠0 if x=0.
Determine whether or not f′(0) exists.
Answer Yes or No:
留言列表