Sytee
How to solve this?
A curve has an equation y=2/x^2 + 5/2
Find the equation of the tangent to the curve at point (2,3)



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Decart
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\[\frac{ 2 }{x ^{2} }+\frac{ 5 }{ 2 }\]

Sytee
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what did u just wrote, it became error. all of a sudden

Decart
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is that the equation

Decart
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do you need to take the derivative

Peter14
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dw:1384947669567:dw

Peter14
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is the equation, right?

Sytee
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@Peter14 yes that is the equation

Sytee
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@Decart yes,need to take the derivative , how?

Decart
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quotient rule

Sytee
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i get dy/dx = 4x^3, after that what should i do?

Peter14
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or simplify it to 2x^(2)

Decart
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the low times the derivative of the high  the high times the derivative of the low all divided by the low squared

Peter14
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do you know pointslope form?

Sytee
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no

Decart
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once you find the derivative that gives you the slope

Decart
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the derivative is \[\frac{ 4 }{ x ^{3} }\]

Decart
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plug in the x to get the slope

Peter14
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with a point (x1, y1) and a slope m
the equation of a line can be written (yy1)=m(xx1)

Sytee
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1/2 is m ?

Decart
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yes

Decart
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y3=1/2(x2)

Decart
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distribute the 1/2 and then add the three

Sytee
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i got it!!! i have another question

Sytee
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solve the equation 3 cos 2x + 5 sinx =4 for 0 <x<360

Peter14
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you have to simplify it first, use the identity for cos 2x

Sytee
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how to simplify that?

Peter14
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use the identity for cos 2x