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KiRa [710]
4 years ago
13

Find tangent line at x=\pi , given: y=3sin^(2 )((x)/(2))

Mathematics
1 answer:
Luba_88 [7]4 years ago
5 0
The slope of the tangent line to y=3\sin^2\dfrac x2 is

y'(x)=3\sin\dfrac x2\cos\dfrac x2=\dfrac32\sin x\implies y'(\pi)=0

which means the tangent line at this point is horizontal.

Because the tangent line passes through

y(\pi)=3\sin^2\dfrac\pi2=3

the tangent line has equation y=3.
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