clara1223 one year ago f(x)=(x^2)+1+(1/(x^4)), c=1; (a) find the slope of the line that is tangent to the graph of f(x) at the given point x=c; (b) write an equation of the tangent line to the graph of f(x) at the point (c,f(c))

1. misty1212

HI!!

2. misty1212

$f(x)=x^2+1+\frac{1}{x^4}$?

3. clara1223

yep!

4. misty1212

do you know the derivative?

5. misty1212

lol another county heard from you got $$f'(x)$$ if not let me know

6. clara1223

I get that the derivative is 2x-(4/(x^5))

7. clara1223

yeah this is calc

8. misty1212

ok looks good plug in 1 what do you get?

9. clara1223

-2

10. misty1212

ok so $$m=-2$$ next i guess find $$f(1)$$

11. misty1212

oh, the answer to question 1 was $$-2$$ now we can find the equation of the tangent line, once we have the point

12. clara1223

how do you construct the equation of the tangent line? I know in class we use y-y1=m(x-x1) and that m=f'(c) but what are y1 and x1?

13. anonymous

$x_1=1,y_1=f(1)$

14. clara1223

Oh! duh! (c,f(c)). the question told me that. thanks!!