14 thoughts on “Derivatives Calculus

  1. Derivative of a constant is Zero because the value of X is 1 i,e when you
    see 6 its actually 6 X 1.. So its 1 with power of 1 which gives X a value
    of 1. When you apply the power rule to get derivative of 6 you actually are
    doing ( its (1-1)*6*1 with power of 0 which would anyways give your 0

  2. 2:25 onwards… Actually you don’t have to memorize anything. f(x) = 6,
    then 6 = 6*1 = 6*x^0 0*6*x^(0-1) = 0 (zero times anything is zero)

  3. give the best linear approximation of the function.. near that input value.
    this brings to mind the graphs of derivatives vs regular function graphs.
    im just confused because it seems like derivatives are almost like
    reciprocals but in a whole different form with a whole different concept.
    is it only for tangent lines on a curve?

  4. You taught this so much better than my math teacher, and probably just
    saved me from getting completely lost. Thank you so much 🙂

  5. Wow… Thank you so very very much. I asked everyone (my math teacher, the
    smart kid, and even Google) and this is the best answer I’ve gotten. I was
    lost and flunking the mess out of Calculus. You might have just saved my
    life. Thanks so much again. 🙂

  6. That last part of the derivative of a constant equaling zero can be proven
    with the method taught in this example too, so it’s more of a shortcut than
    something you have to memorize. (For example: 6 is actually 6x^0, so you
    move that to the front and get 0(6)x^-1, which altogether is multiplied by
    0 for a grand total of 0.)

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