iop360
find the x-coordinate of all points on the curve y=36xsin(17x) + 306sqrt3(x^2) -33
domain pi/34 < x < 3pi/34
where the tangent line passes through the point (0, -33)(not on the curve)
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iop360
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\[y = 36xsin(17x) + 306\sqrt{3}x^2 -33\]
iop360
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answers are x1 = 5Pi/102 and x2 = 7Pi/102
i need to know to do get it though
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(f(x) - -33) / x-0 = f'(x)
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plug stuff in, solve for x
iop360
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what does that equation say?
iop360
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is that slope equation?
Algebraic!
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rise/run =slope
yf-yo / xf-xo = slope of the tangent at (xf,yf)
iop360
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how do i use this to get the x coordinates
Algebraic!
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what's f(x)? plug it in.
what's f '(x)? plug it in.
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oh ok thanks
Algebraic!
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sure!