Answer each of the following: a) Find the slope of the tangent line T to the cur

Question

Answer each of the following:

a) Find the slope of the tangent line T to the curve y = x lnx at x = 1.

slope = ______________________

b) Find the equation of the tangent line T to the curve y = x lnx at x = 1. Put the equation into

y = mx + b form.

y = _______________________

c) The graph of y = x lnx is given below. Draw the tangent line T in this graph.

Label the y

Find the slope of the tangent line T to the curve y = x Inx at x = 1. slope = Find the equation of the tangent line T to the curve y = x Inx at x = 1. Put the equation into y = mx + b form. y = The graph of y = x Inx is given below. Draw the tangent line T in this graph. Label the y - intercept of T.

Explanation / Answer

d/dx = ln(x) + 1

slope = ln(1)+1 = 0+1 = 1

needs to pass through the point 1,0

0 = 1(1) + b

b = -1

Answer: y = x-1

Graph a line with a slope of one that intersects the y axis at -1

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