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fricas

--- TexFormat (tex.spad)
--- Ugly primes (op PRIME) in derivatives and unwanted quotes (" ") are now gone

f:=operator 'f

$\label{eq1}f$

(1)

Type: BasicOperator?

fricas

eq1:=D(f(x),x) = x^n

$\label{eq2}{{f^{\prime}}\left({x}\right)}={{x}^{n}}$

(2)

Type: Equation(Expression(Integer))

fricas

eq2:=D(eq1,x)

$\label{eq3}{{f^{\prime \prime}}\left({x}\right)}={n \ {{x}^{n - 1}}}$

(3)

Type: Equation(Expression(Integer))

fricas

eq3:=D(eq2,x)

$\label{eq4}{{f^{\prime \prime \prime}}\left({x}\right)}={{\left({{n}^{2}}- n \right)}\ {{x}^{n - 2}}}$

(4)

Type: Equation(Expression(Integer))

fricas

eq4:=D(eq3,x)

$\label{eq5}{{f^{\left(iv \right)}}\left({x}\right)}={{\left({{n}^{3}}-{3 \ {{n}^{2}}}+{2 \ n}\right)}\ {{x}^{n - 3}}}$

(5)

Type: Equation(Expression(Integer))

fricas

X:=map(operator,[X[i] for i in 1..3])

$\label{eq6}\left[{X_{1}}, \:{X_{2}}, \:{X_{3}}\right]$

(6)

Type: List(BasicOperator?)

fricas

eq5:=D((X.1)(t),t) = t^a

$\label{eq7}{{{X_{1}}^{\prime}}\left({t}\right)}={{t}^{a}}$

(7)

Type: Equation(Expression(Integer))

fricas

eq6:=D(eq5,t)

$\label{eq8}{{{X_{1}}^{\prime \prime}}\left({t}\right)}={a \ {{t}^{a - 1}}}$

(8)

Type: Equation(Expression(Integer))

fricas

eq7:=D(eq6,t)

$\label{eq9}{{{X_{1}}^{\prime \prime \prime}}\left({t}\right)}={{\left({{a}^{2}}- a \right)}\ {{t}^{a - 2}}}$

(9)

Type: Equation(Expression(Integer))

fricas

eq8:=D(eq7,t)

$\label{eq10}{{{X_{1}}^{\left(iv \right)}}\left({t}\right)}={{\left({{a}^{3}}-{3 \ {{a}^{2}}}+{2 \ a}\right)}\ {{t}^{a - 3}}}$

(10)

Type: Equation(Expression(Integer))

fricas

eq9:=D(eq8,t,2)

$\label{eq11}{{{X_{1}}^{\left(vi \right)}}\left({t}\right)}={{\left({{a}^{5}}-{{10}\ {{a}^{4}}}+{{35}\ {{a}^{3}}}-{{50}\ {{a}^{2}}}+{{24}\ a}\right)}\ {{t}^{a - 5}}}$

(11)

Type: Equation(Expression(Integer))

Subject: Be Bold !!

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