Hello! I have this question about tangents, which I have solved partly. But I have some difficulties in solving the ii - part. I would appreciate your help
Here is the question:
Consider the function h(x) = x^(1/5)
i) Find the equation of the tangent to the graph at the point where x = a, (a doesn't equal 0). Write the equation in the form y = mx + c.
I have solved this part. My approach was first to find the derivative of the function and then replace the x by a. And then convert it into the form
y = mx + c, which gave me this result:
y = 1/5 a^(-4/5) a + 4/5 a^(1/5)
The part I couldn't solve:
ii) Show that this tangent intersects the x-axis at the point (-4a, 0).
I would really appreciate your help.