Consider the curve y = x − x^7.
(a) Find the slope of the tangent line to the curve at the point (1, 0)
(b) Find an equation of the tangent line in part (a).
c) Which is the graph the curve and the tangent line
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Verified answer
(a) y' = 1-7x^6
y'(1) = -6
(b) y=6-6x
(c) Bottom right picture
y = x â x^7
(a) dy/dx = 1 - 7x^6. At (1,0) 1 -7x^6 = -6
(b) y-y1 = m(x - x1); y - 0 = -6(x - 1); y = -6x + 6
(c) unclear question