Aromātai
32x^{\frac{5}{3}}
Kimi Pārōnaki e ai ki x
\frac{160x^{\frac{2}{3}}}{3}
Graph
Tohaina
Kua tāruatia ki te papatopenga
8^{\frac{5}{3}}x^{\frac{5}{3}}
Whakarohaina te \left(8x\right)^{\frac{5}{3}}.
32x^{\frac{5}{3}}
Tātaihia te 8 mā te pū o \frac{5}{3}, kia riro ko 32.
\frac{\mathrm{d}}{\mathrm{d}x}(8^{\frac{5}{3}}x^{\frac{5}{3}})
Whakarohaina te \left(8x\right)^{\frac{5}{3}}.
\frac{\mathrm{d}}{\mathrm{d}x}(32x^{\frac{5}{3}})
Tātaihia te 8 mā te pū o \frac{5}{3}, kia riro ko 32.
\frac{5}{3}\times 32x^{\frac{5}{3}-1}
Ko te pārōnaki o ax^{n} ko nax^{n-1}.
\frac{160}{3}x^{\frac{5}{3}-1}
Whakareatia \frac{5}{3} ki te 32.
\frac{160}{3}x^{\frac{2}{3}}
Tango 1 mai i \frac{5}{3}.
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}