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)

- anonymous

- jamiebookeater

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- anonymous

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

- anonymous

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

- anonymous

is that the equation

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## More answers

- anonymous

do you need to take the derivative

- anonymous

|dw:1384947669567:dw|

- anonymous

is the equation, right?

- anonymous

@Peter14 yes that is the equation

- anonymous

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

- anonymous

quotient rule

- anonymous

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

- anonymous

or simplify it to 2x^(-2)

- anonymous

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

- anonymous

do you know point-slope form?

- anonymous

no

- anonymous

once you find the derivative that gives you the slope

- anonymous

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

- anonymous

plug in the x to get the slope

- anonymous

with a point (x1, y1) and a slope m
the equation of a line can be written (y-y1)=m(x-x1)

- anonymous

1/2 is m ?

- anonymous

yes

- anonymous

y-3=1/2(x-2)

- anonymous

distribute the 1/2 and then add the three

- anonymous

i got it!!! i have another question

- anonymous

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

- anonymous

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

- anonymous

how to simplify that?

- anonymous

use the identity for cos 2x

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