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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)

Mathematics
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\[\frac{ 2 }{x ^{2} }+\frac{ 5 }{ 2 }\]
what did u just wrote, it became error. all of a sudden
is that the equation

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Other answers:

do you need to take the derivative
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is the equation, right?
@Peter14 yes that is the equation
@Decart yes,need to take the derivative , how?
quotient rule
i get dy/dx = -4x^-3, after that what should i do?
or simplify it to 2x^(-2)
the low times the derivative of the high - the high times the derivative of the low all divided by the low squared
do you know point-slope form?
no
once you find the derivative that gives you the slope
the derivative is \[\frac{ 4 }{ x ^{3} }\]
plug in the x to get the slope
with a point (x1, y1) and a slope m the equation of a line can be written (y-y1)=m(x-x1)
1/2 is m ?
yes
y-3=1/2(x-2)
distribute the 1/2 and then add the three
i got it!!! i have another question
solve the equation 3 cos 2x + 5 sinx =4 for 0
you have to simplify it first, use the identity for cos 2x
how to simplify that?
use the identity for cos 2x

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