Differentiation

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Created by
Arjun Nair

Cards (17)

  • (f(x)∗(f(x)*g(x))′g(x))'

    f(x)g′(x)+f(x)g'(x) +f′(x)g(x) f'(x)g(x)
  • [f(x)g(x)] ′[\frac{f(x)}{g(x)}]\space'

    \frac{f'(x)*g(x)−f(x)∗g(x) - f(x)*g'(x)}{(g(x))^2}
  • [f(g(x))] ′[f(g(x))]\space'

    f′(g(x))∗f'(g(x))*g′(x)g'(x)
  • [cos(x)] ′[cos(x)]\space'

    −sin(x)-sin(x)
  • [sin(x)] ′[sin(x)]\space'

    cos(x)cos(x)
  • [tan(x)] ′[tan(x)]\space'

    sec2(x) / 1cos2(x)sec^{2}(x)\space/\space\frac{1}{cos^2(x)}
  • [ex] ′[e^x]\space'

    exe^x
  • [ (e2x) ]′[\space (e^{2x})\space]'

    2∗2*e2xe^{2x}
  • [ax] ′[a^x]\space'

    ax∗a^x*ln(a)ln(a)
  • [ln(x)] ′[ln(x)]\space'

    1x\frac{1}{x}
  • [ ln(f(x)) ] ′[\space ln(f(x))\space ]\space'

    f ′(x)∗f\space'(x) *1f(x)\frac{1}{f(x)}
  • [ f(x)n ] ′[\space f(x)^n\space]\space'

    n∗n*f ′(x)∗f\space'(x)*f(x)n−1f(x)^{n-1}
  • [ e3x2 ] ′[\space e^{3x^2}\space]\space'

    6x∗6x *e3x2 e^{3x^2}
  • [ sin(h(x)) ] ′[\space sin(h(x))\space]\space'

    h′(x)∗h'(x)*cos(h(x))cos(h(x))
  • [ cos(h(x)) ] ′[\space cos(h(x))\space]\space'

    −h′(x)∗-h'(x)*sin(h(x))sin(h(x))
  • [ tan(h(x)) ] ′[\space tan(h(x))\space]\space'

    h′(x)∗h'(x)*sec2(h(x)) / h′(x)cos2(x)sec^2(h(x)) \space / \space \frac{h'(x)}{cos^2(x)}
  • [ loge(h(x)) ]′[\space log_e(h(x))\space]'

    h′(x)h(x)\frac{h'(x)}{h(x)}