Sytee Group Title 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) 8 months ago 8 months ago

• This Question is Open
1. Decart Group Title

$\frac{ 2 }{x ^{2} }+\frac{ 5 }{ 2 }$

2. Sytee Group Title

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

3. Decart Group Title

is that the equation

4. Decart Group Title

do you need to take the derivative

5. Peter14 Group Title

|dw:1384947669567:dw|

6. Peter14 Group Title

is the equation, right?

7. Sytee Group Title

@Peter14 yes that is the equation

8. Sytee Group Title

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

9. Decart Group Title

quotient rule

10. Sytee Group Title

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

11. Peter14 Group Title

or simplify it to 2x^(-2)

12. Decart Group Title

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

13. Peter14 Group Title

do you know point-slope form?

14. Sytee Group Title

no

15. Decart Group Title

once you find the derivative that gives you the slope

16. Decart Group Title

the derivative is $\frac{ 4 }{ x ^{3} }$

17. Decart Group Title

plug in the x to get the slope

18. Peter14 Group Title

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

19. Sytee Group Title

1/2 is m ?

20. Decart Group Title

yes

21. Decart Group Title

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

22. Decart Group Title

distribute the 1/2 and then add the three

23. Sytee Group Title

i got it!!! i have another question

24. Sytee Group Title

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

25. Peter14 Group Title

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

26. Sytee Group Title

how to simplify that?

27. Peter14 Group Title

use the identity for cos 2x