MICHAEL A.
asked • 06/08/22Mathematics Calculus
Find the slope m of the tangent to the curve y = 7/
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x |
at the point where x = a > 0.
Find equations of the tangent lines at the points (1, 7) and 
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4, 7) |
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More
1 Expert Answer
Yefim S. answered • 06/08/22
Tutor
5
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Math Tutor with Experience
f'(x) = - 7/2x-3/2 = - 7/(2x√x); m = f'(a) = - 7/(2a√a).
f'(1) = - 7/2; y = 7 - 7/2(x -1); y = -7/2x + 21/2
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Luke J.
Is that second coordinate point supposed to be (4, 7/2)? Otherwise, (4,7) does not lie on the curve and wouldn't be tangent to the original equation that was given in the problem prompt.06/08/22