Aromātai
-3\times \left(\frac{y}{x}\right)^{2}
Kimi Pārōnaki e ai ki x
\frac{6y^{2}}{x^{3}}
Pātaitai
Algebra
5 raruraru e ōrite ana ki:
\frac { - 9 x ^ { 3 } y ^ { - 2 } } { 3 x ^ { 5 } y ^ { - 4 } }
Tohaina
Kua tāruatia ki te papatopenga
\frac{-3y^{-2}}{y^{-4}x^{2}}
Me whakakore tahi te 3x^{3} i te taurunga me te tauraro.
\frac{-3y^{2}}{x^{2}}
Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\left(-\frac{9}{y^{2}}\right)y^{4}}{3}x^{3-5})
Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.
\frac{\mathrm{d}}{\mathrm{d}x}(\left(-3y^{2}\right)x^{-2})
Mahia ngā tātaitanga.
-2\left(-3y^{2}\right)x^{-2-1}
Ko te pārōnaki o tētahi pūrau ko te tapeke o ngā pārōnaki o ōna kīanga tau. Ko te pārōnaki o tētahi kīanga tau pūmau ko 0. Ko te pārōnaki o te ax^{n} ko te nax^{n-1}.
6y^{2}x^{-3}
Mahia ngā tātaitanga.
Ngā Tauira
whārite tapawhā
{ x } ^ { 2 } - 4 x - 5 = 0
Āhuahanga
4 \sin \theta \cos \theta = 2 \sin \theta
whārite paerangi
y = 3x + 4
Arithmetic
699 * 533
Poukapa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
whārite Simultaneous
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Whakarerekētanga
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Whakaurunga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Ngā Tepe
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}