Calculus. Show work if necessary.

Question

Let 𝑓 be the function 𝑓(𝑥) = 𝑥² ln 𝑥. For what value of 𝑥 is the slope of the line tangent to the graph of

𝑓 at (𝑥, 𝑓(𝑥)) equal to 2?

Answer 1

f'(x) = 2xlnx + x = 2; x = 1.30506

We use TI-84 to get this approximation of solution.