Syahmi S.

asked • 02/14/20# The equation of the tangent line to the curve y=x+x−−√ at the point (49,56) is

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## 1 Expert Answer

Arturo O. answered • 02/16/20

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Find its slope from dy/dx.

dy/dx = 1 + (1/2)x^{-1/2}

m = dy/dx evaluated at x=49

In point slope form, the equation of the line is

y - y_{1} = m(x - x_{1})

m = result from above

x_{1} = 49

y_{1} = 56

Plug in the numbers.

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Syahmi S.

y = x + sqrt(x)02/14/20