anonymous
  • anonymous
Let f(x)=(2x^2-x). Give f '(1).
Mathematics
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schrodinger
  • schrodinger
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anonymous
  • anonymous
I'm a little stumped on this "Give f '(1) problems.
ParthKohli
  • ParthKohli
First, find the derivative. What is \(f'(x)\)?
anonymous
  • anonymous
1?

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ParthKohli
  • ParthKohli
No, no. It'd be\[f'(x) = {d \over dx}2x^2 - x\]Do you know what derivative is?
anonymous
  • anonymous
Let f(x)=(2x^2-x). Give f '(1). f'(x) = 4x f'(1) = 4(1) = 4 . am i right?
anonymous
  • anonymous
Well we are just starting the chapter on derivatives, so I'm still figuring them out. Mostly we've been dealing with finding the slope of tangent and normal lines.
ParthKohli
  • ParthKohli
@febylailani I should point out that,\[f'(x) = 4x - 1\]
anonymous
  • anonymous
3
ParthKohli
  • ParthKohli
@cuzzin That includes differentiation too!
ParthKohli
  • ParthKohli
\[f'(x) = 4x - 1\]\[f'(1) = 4(1) - 1\]
anonymous
  • anonymous
I think you should write it as: \[\frac{d}{dx} \left(2x^{2}-x\right) or \frac{d}{dx} 2x^2-\frac{d}{dx} x\] Or people would get confused,which was evident :)
anonymous
  • anonymous
why to make things more complicated
ParthKohli
  • ParthKohli
@Omniscience is pretty well till now, and then the power rule!:)
anonymous
  • anonymous
ah!! yup! sorry i forgot. careless -_- aaaaaccckkkkk
anonymous
  • anonymous
Ok, where does the (4x-1) come from?
anonymous
  • anonymous
from differential.
anonymous
  • anonymous
but differential is the short way. before that, there's limit. the formula is a.n.x^(n-1). i.e. f(x) = 2x^3 ; a=2 ; n = 3 so, f'(x) = 2.3.x^(3-1) = 6x^2 cmiiw

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