Baholash
32x\cos(16x^{2})
x ga nisbatan hosilani topish
32\left(-32x^{2}\sin(16x^{2})+\cos(16x^{2})\right)
Viktorina
Differentiation
5xshash muammolar:
\frac{d}{d x } \left( \sin ( { \left(4x \right) }^{ 2 } ) \right)
Baham ko'rish
Klipbordga nusxa olish
\frac{\mathrm{d}}{\mathrm{d}x}(\sin(4^{2}x^{2}))
\left(4x\right)^{2} ni kengaytirish.
\frac{\mathrm{d}}{\mathrm{d}x}(\sin(16x^{2}))
2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.
\cos(16x^{2})\frac{\mathrm{d}}{\mathrm{d}x}(16x^{2})
Agar F ikki differensial funksiya f\left(u\right) va u=g\left(x\right)'ning yig'indisi bo'lsa, ya'ni agar F\left(x\right)=f\left(g\left(x\right)\right) bo'lsa, F hosilasi f'ning u martalik hosilasi, g'ning x martalik hosilasi ya'ni \frac{\mathrm{d}}{\mathrm{d}x}(F)\left(x\right)=\frac{\mathrm{d}}{\mathrm{d}x}(f)\left(g\left(x\right)\right)\frac{\mathrm{d}}{\mathrm{d}x}(g)\left(x\right) bo'ladi.
\cos(16x^{2})\times 2\times 16x^{2-1}
Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.
32x\cos(16x^{2})
Qisqartirish.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
4 \sin \theta \cos \theta = 2 \sin \theta
Chiziqli tenglama
y = 3x + 4
Arifmetik
699 * 533
Matritsa
\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]
Simli tenglama
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}