clara1223
  • clara1223
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))
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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misty1212
  • misty1212
HI!!
misty1212
  • misty1212
\[f(x)=x^2+1+\frac{1}{x^4}\]?
clara1223
  • clara1223
yep!

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More answers

misty1212
  • misty1212
do you know the derivative?
misty1212
  • misty1212
lol another county heard from you got \(f'(x)\) if not let me know
clara1223
  • clara1223
I get that the derivative is 2x-(4/(x^5))
clara1223
  • clara1223
yeah this is calc
misty1212
  • misty1212
ok looks good plug in 1 what do you get?
clara1223
  • clara1223
-2
misty1212
  • misty1212
ok so \(m=-2\) next i guess find \(f(1)\)
misty1212
  • misty1212
oh, the answer to question 1 was \(-2\) now we can find the equation of the tangent line, once we have the point
clara1223
  • 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?
anonymous
  • anonymous
\[x_1=1,y_1=f(1)\]
clara1223
  • clara1223
Oh! duh! (c,f(c)). the question told me that. thanks!!

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