Equation of tangent line help
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Equation of tangent line help

[From: ] [author: ] [Date: 13-05-20] [Hit: ]
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Find the equation of the tangent line to the curve y = sqrt (1 + 4sinx) at the point (0,1). Please show steps, thank you!

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dy/dx = 1/2*(4*cos(x)) * (1 + 4sin(x))^(-1/2) = 2cos(x)/√(1 + 4sin(x))

Slope of tangent line at (0,1) = 2

Eqn of tangent line:

y - 1 = 2x => y = 2x + 1
1
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