((3a^1/4)-(9a^-3/4))/(3a^-3/4)

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Solution for ((3a^1/4)-(9a^-3/4))/(3a^-3/4) equation:


D( a )

a = 0

(3*a^-3)/4 = 0

a = 0

a = 0

(3*a^-3)/4 = 0

(3*a^-3)/4 = 0

3/4*a^-3 = 0 // : 3/4

a^-3 = 0

a naleu017Cy do O

a in (-oo:0) U (0:+oo)

((3*a^1)/4-((9*a^-3)/4))/((3*a^-3)/4) = 0

((3*a)/4+(-9/4)*a^-3)/((3*a^-3)/4) = 0

(3/4*a-9/4*a^-3)/(3/4*a^-3) = 0

3/4*a-9/4*a^-3 = 0

3/4*a*(1-3*a^-4) = 0

-3*a^-4 = -1 // : -3

a^-4 = 1/3

-4 < 0

1/(a^4) = 1/3 // * a^4

1 = 1/3*a^4 // : 1/3

3 = a^4

a^4 = 3 // ^ 1/4

abs(a) = 3^(1/4)

a = 3^(1/4) or a = -3^(1/4)

3/4*a*(a-3^(1/4))*(a+3^(1/4)) = 0

(3/4*a*(a-3^(1/4))*(a+3^(1/4)))/(3/4*a^-3) = 0

( 3/4*a )

3/4*a = 0 // : 3/4

a = 0

( a+3^(1/4) )

a+3^(1/4) = 0 // - 3^(1/4)

a = -3^(1/4)

( a-3^(1/4) )

a-3^(1/4) = 0 // + 3^(1/4)

a = 3^(1/4)

a in { 0}

a in { -3^(1/4), 3^(1/4) }

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