Multiple Times Differentiation – HSC Math

Posted In: Mathematics
  1. if $y=f(x),$ then
    $\d/{\dx}(y)=\dy/{\dx}=f'(x)=y′=y_1$
    $\d/{\dx}(y_1)=\d^2y/{\dx^2}=y_2$
    $\d/{\dx}(y_2)=\d^3y/{\dx^3}=y_3$
    $\d/{\dx}(y_{n-1})=\d^ny/{\dx^n}=y_n$
  2. if $y=e^{mx}, y_n=m^n\ e^{mx}$
  3. if $y=a^x, y_n=a^x\ (log_e\ a)^n=a^x\ (ln\ a)^n$
  4. if $y=sin(ax+b), y_n=a^n\ sin(n.π/2+(ax+b))$
  5. if $y=cox(ax+b), y_n=a^n\ cos(n.π/2+(ax+b))$

Post Tags: Differentiation | HSC


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