For what value of #x# is the slope of the tangent line to #y=x^7 + (3/x)# undefined?
1 Answer
Aug 18, 2017
Please see below.
Explanation:
Quick answer
The derivative is undefined at
Additional detail
Since
Here is the graph of
graph{y = (x^7)+(3/x) [-14.71, 13.76, -7.89, 6.35]}
Here is a similar graph that is easier to see.
graph{x^3+1/(4x) [-7.35, 6.694, -2.82, 4.197]}
By contrast
#y' - 1/(3root(3)x^2) is not defined.
The tangent line at
graph{x^(1/3) [-4.028, 3.767, -2.224, 1.673]}