Recent content by vikcool812

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    Undergrad Is d/dx of ln(|x|) = 1/x? Proving the Claim

    Thank You ! Everyone for your valuable suggestions .
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    Undergrad Is d/dx of ln(|x|) = 1/x? Proving the Claim

    I know d/dx of ln(x) is 1/x , x>0. A website says d/dx of ln(|x|) is also 1/x for x not = 0 . is that true , i am unable to prove it!
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    Undergrad Second derivative from parametric form

    If x and y are defined in terms of a third vatiable say t , then to find d2y/dx2 , we cannot find d2y/dt2 and d2x/dt2 and divide them to get d2y/dx2 , i am unable to fingure out the reason for this !
    • vikcool812
    • Thread
    • Derivative Form Parametric Parametric form Second derivative
    • Replies: 1
    • Forum: Calculus
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    Undergrad Strange Solution to Quadratic Equation

    a strange solution ? I was solving a tangent problem and came across a strange thing , its a simple quadratic equation ,y2 - 4y -8 = 0 , by quadratic formula , y = 2 + 2*31/2 and 2 - 2*31/2 , now if i write the same quadratic as (y-2)2 = 12 , then i apply square root function on both...
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    Undergrad Why Do Different Forms of the Same Equation Yield Different dy/dx Results?

    I have a relation xy=c2 , if i apply implicit differentiation to both sides i get dy/dx =-y/x , but if i write the same thing as y=c2/x , then dy/dx comes out to be -c2/x2 , what's going wrong ?
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    Undergrad Does the Second Derivative Test Fail for x^3 at x=0?

    Does the second derivative test fail for x3 at x=0: f'(x)=3x2 f''(x)=6x , for x=0, f'(0)=0 & f''(0)=+ve , so it should be a point of local maxima , but it is not!
    • vikcool812
    • Thread
    • Derivative Second derivative Second derivative test Test
    • Replies: 4
    • Forum: Calculus
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    Undergrad Why Does the Limit of |(h² + 4h)|/h Differ When Using Modulus Properties?

    lim as h->0 (|(h^2) + 4h |)/h comes out = 4 when i do it by splitting the definition of function according to modulus , but if according to distributive property of modulus , i can also write it as lim as h->0 (|h|/h)|((h) + 4|)) , but I am as h->0 (|h|/h) does not exist , so what's wrong?
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    Undergrad Extreme Value Theorem for Constant Function y=1

    Thanx man! i got it.
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    Undergrad Extreme Value Theorem for Constant Function y=1

    How is Extreme Value theorem correct for a constant function such as y=1 , where is the maximum and minimum?
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    Accumulator Battery Internal Resistance & Charger Potential: A Doubt

    This is in continuation to https://www.physicsforums.com/showthread.php?t=330495 The question that initiated my doubt reads this -- " the internal resistance of an accumulator battery of emf 6V is 10 Ohm when fully discharged . as battery gets charged up , its internal resistance drops to 1...
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    Undergrad Does EMF Change During Battery Charging?

    now i am a bit confused , even i think that the emf changes , but i am unable to figure out the reason , could someone just explane it . pls...
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    Undergrad Does EMF Change During Battery Charging?

    so this means that the emf does not change , the extra potential applied just gets converted to chemical energy , did i get it right ??
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    Undergrad Does EMF Change During Battery Charging?

    My doubt is that when we charge a battery we say that energy is transferred into it , but does the emf of a battery change in this process ? Is the emf same before and after charging , if yes then what actually happens during charging a battery ?? pls help !