hwy does anyone know the derivative of f(x)=3x+5x^-1 ?

Question

hwy does anyone know the derivative of f(x)=3x+5x^-1  ?

saifoo.khan · Answer

derivative of 3x = x

derivative of 5x^-1 = -5x^-2

saifoo.khan · Answer

So collectively,

$$\Large 3x+ 5x^{-1}  \to -\frac{5}{x^2} +x$$

anonymous · Answer

Holy cow. I never coulda figgered that on my own.

saifoo.khan · Answer

lol @ holycow

anonymous · Answer

I get the one with the negative exponent. But doesn't the 3x derive into just 3?  (1 x 3=3, and the x gets dropped...)?

saifoo.khan · Answer

Oh man! my mistake!
holy cow!

anonymous · Answer

that is what wass thing pinhead
I was thinking,
3 - 5x^-2

saifoo.khan · Answer

i mean it's 3 not x.

anonymous · Answer

haha!

saifoo.khan · Answer

Sowwie.

anonymous · Answer

soooo, f'(x)= 3-5x^-2  ?

anonymous · Answer

yes

anonymous · Answer

Thanks so much, you two. I am so very bad at math. I can do other subjects really well, but math is holding me back

anonymous · Answer

welcome to the website then - it may be a great resource

anonymous · Answer

It sure seems like it! Another student friend o mine recommended it

anonymous · Answer

now how can I factor this?

anonymous · Answer

new question?  if so do new post

anonymous · Answer

I am trying to find critical numbers so i can find relative mins/max

anonymous · Answer

f'(x)= 3-5x_2....I need to factor this, tosolve for 0, so I can find critical numbers...

anonymous · Answer

f'(x)=3-5x^-2

anonymous · Answer

how can I factor f'(x)= 3-5x^-2  ?

anonymous · Answer

there's no way! How can I solve for X and find my critical values?

anonymous · Answer

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look at it this way- does that hel you