Mathway | Популярные задачи

Популярные задачи

Рейтинг	Тема	Задача	Форматированная задача
11301	Trovare dy/dx	y=(2-5x^3)arcsin(x)	$y = (2 - 5 x^{3}) \arcsin (x)$
11302	Trovare dy/dx	y=(x^2-3y)^3	$y = {(x^{2} - 3 y)}^{3}$
11303	Trovare dy/dx	y=(x^2-3x+3)e^((5x)/3)	$y = (x^{2} - 3 x + 3) e^{\frac{5 x}{3}}$
11304	Trovare dy/dx	y=(2x+1)^5	$y = {(2 x + 1)}^{5}$
11305	Trovare dy/dx	y=(2x-4)^5(1-x^3)^4	$y = {(2 x - 4)}^{5} {(1 - x^{3})}^{4}$
11306	Trovare dy/dx	y=(x^2)/(1-x)	$y = \frac{x^{2}}{1 - x}$
11307	Trovare dy/dx	y=(x+1)^(x+1)	$y = {(x + 1)}^{x + 1}$
11308	Trovare dy/dx	y=(x^3+5)/((5x+3)(3x+5))	$y = \frac{x^{3} + 5}{(5 x + 3) (3 x + 5)}$
11309	Trovare dy/dx	y=(x^2-3x+2)/(x^7-2)	$y = \frac{x^{2} - 3 x + 2}{x^{7} - 2}$
11310	Trovare dy/dx	y=(x^3)/(x-1)	$y = \frac{x^{3}}{x - 1}$
11311	Trovare dy/dx	y=1/((2x+5)^7)	$y = \frac{1}{{(2 x + 5)}^{7}}$
11312	Trovare dy/dx	y=-1/( корень четвертой степени из x)	$y = - \frac{1}{\sqrt[4]{x}}$
11313	Trovare la Derivata - d/d@VAR	f(x)=1/(2 квадратный корень из x)	$f (x) = \frac{1}{2 \sqrt{x}}$
11314	Trovare dy/dx	y=1/(x^5)	$y = \frac{1}{x^{5}}$
11315	Trovare dy/dx	y=1/(x^8)	$y = \frac{1}{x^{8}}$
11316	Trovare dy/dx	y=1/(1+x^2)	$y = \frac{1}{1 + x^{2}}$
11317	Trovare dy/dx	y=(1-3x)/(x^2+7)	$y = \frac{1 - 3 x}{x^{2} + 7}$
11318	Trovare la Derivata - d/d@VAR	f(x) = square root of x+6	$f (x) = \sqrt{x + 6}$
11319	Trovare dy/dx	y=((x^2+1)^10(x^2+2)^3)/((e^x+1)^7)	$y = \frac{{(x^{2} + 1)}^{10} {(x^{2} + 2)}^{3}}{{(e^{x} + 1)}^{7}}$
11320	Trovare dy/dx	y=(e^x)/(1+x)	$y = \frac{e^{x}}{1 + x}$
11321	Trovare dy/dx	y=((3x-4)^4)/((2x+3)^7)	$y = \frac{{(3 x - 4)}^{4}}{{(2 x + 3)}^{7}}$
11322	Trovare dy/dx	y=(5x+12)^5	$y = {(5 x + 12)}^{5}$
11323	Trovare dy/dx	y=(7x+18)^4	$y = {(7 x + 18)}^{4}$
11324	Trovare dy/dx	y=(6x-5)^2(3-x^5)^2	$y = {(6 x - 5)}^{2} {(3 - x^{5})}^{2}$
11325	Trovare dy/dx	y=cos(2x)^x	$y = {\cos (2 x)}^{x}$
11326	Trovare dy/dx	ye^x-x=y^2	$y e^{x} - x = y^{2}$
11327	Trovare dy/dx	y^8=x^5	$y^{8} = x^{5}$
11328	Trovare dy/dx	y^5=x^2-1	$y^{5} = x^{2} - 1$
11329	Trovare dy/dx	y^2-2x-4y-1=0	$y^{2} - 2 x - 4 y - 1 = 0$
11330	Trovare dy/dx	y^3=3x^2-10x-5	$y^{3} = 3 x^{2} - 10 x - 5$
11331	Trovare dy/dx	y^4-yx-x^3=10	$y^{4} - y x - x^{3} = 10$
11332	Trovare dy/dx	y^2-2y=x	$y^{2} - 2 y = x$
11333	Trovare dy/dx	y^3e^x+x=y^6x	$y^{3} e^{x} + x = y^{6} x$
11334	Trovare dy/dx	y^3+10xy+4x^3-12x=0	$y^{3} + 10 x y + 4 x^{3} - 12 x = 0$
11335	Trovare dy/dx	y^3+4y^2=sin(xy)	$y^{3} + 4 y^{2} = \sin (x y)$
11336	Вычислим интеграл	интеграл ( квадратный корень из 2+9 кубический корень из x)/( кубический корень из x^2) по x	$\int \frac{\sqrt{2 + 9 \sqrt[3]{x}}}{\sqrt[3]{x^{2}}} d x$
11337	Вычислим интеграл	интеграл x натуральный логарифм x+1 по x	$\int x \ln (x + 1) d x$
11338	Trovare dy/dx	2x^2-y^3-5=0	$2 x^{2} - y^{3} - 5 = 0$
11339	Trovare dy/dx	2(x^2+1)^4+(y^2+3)^2=24	$2 {(x^{2} + 1)}^{4} + {(y^{2} + 3)}^{2} = 24$
11340	Trovare dy/dx	12x^3y^2-4y^3=5	$12 x^{3} y^{2} - 4 y^{3} = 5$
11341	Trovare dy/dx	y^2+4y+5x=0	$y^{2} + 4 y + 5 x = 0$
11342	Trovare dy/dx	y^2=7x^2-10x	$y^{2} = 7 x^{2} - 10 x$
11343	Trovare dy/dx	y^2=5x^2-18x	$y^{2} = 5 x^{2} - 18 x$
11344	Trovare dy/dx	y^2-2x^3=20	$y^{2} - 2 x^{3} = 20$
11345	Trovare dy/dx	y^2-2x=1-2y	$y^{2} - 2 x = 1 - 2 y$
11346	Trovare dy/dx	x^5+y^5=35xy	$x^{5} + y^{5} = 35 x y$
11347	Trovare dy/dx	y^2x^2=9	$y^{2} x^{2} = 9$
11348	Trovare dy/dx	y^2+2y+8x=0	$y^{2} + 2 y + 8 x = 0$
11349	Trovare dy/dx	y^2+2xy+x^2=16	$y^{2} + 2 x y + x^{2} = 16$
11350	Trovare dy/dx	y^2+3xy-4x^2=9	$y^{2} + 3 x y - 4 x^{2} = 9$
11351	Trovare dy/dx	y^2+3y+4x=0	$y^{2} + 3 y + 4 x = 0$
11352	Trovare dy/dx	y^2+5y+2x=0	$y^{2} + 5 y + 2 x = 0$
11353	Trovare dy/dx	y^2=(x^2-49)/(x^2+49)	$y^{2} = \frac{x^{2} - 49}{x^{2} + 49}$
11354	Trovare dy/dx	xy^2-y^3=1	$x y^{2} - y^{3} = 1$
11355	Trovare dy/dx	xy^2-x^2+4=0	$x y^{2} - x^{2} + 4 = 0$
11356	Trovare dy/dx	xe^y-6y=3x+18-2e^-2	$x e^{y} - 6 y = 3 x + 18 - 2 e^{- 2}$
11357	Trovare dy/dx	(xy-y^2)/(y-x)=1	$\frac{x y - y^{2}}{y - x} = 1$
11358	Trovare dy/dx	x^xy^2+3y=4x	$x^{x} y^{2} + 3 y = 4 x$
11359	Trovare dy/dx	xe^y-ye^x=5	$x e^{y} - y e^{x} = 5$
11360	Trovare dy/dx	xe^y-ye^x=9	$x e^{y} - y e^{x} = 9$
11361	Trovare dy/dx	y^2(2-x)=x^3	$y^{2} (2 - x) = x^{3}$
11362	Trovare dy/dx	xy^2-y=x	$x y^{2} - y = x$
11363	Trovare dy/dx	y/x+x/y=2y	$\frac{y}{x} + \frac{x}{y} = 2 y$
11364	Trovare dy/dx	xy^2-y-2=0	$x y^{2} - y - 2 = 0$
11365	Trovare dy/dx	x^3+y^3+8y-3=0	$x^{3} + y^{3} + 8 y - 3 = 0$
11366	Trovare dy/dx	x^3y^2=cos(piy)	$x^{3} y^{2} = \cos (π y)$
11367	Trovare dy/dx	x^3y^2-5x^2y+x=1	$x^{3} y^{2} - 5 x^{2} y + x = 1$
11368	Trovare dy/dx	x^3+x^2cos(y)=y^3	$x^{3} + x^{2} \cos (y) = y^{3}$
11369	Trovare dy/dx	x^3+y^3=21xy	$x^{3} + y^{3} = 21 x y$
11370	Trovare dy/dx	x^3+y^3=37	$x^{3} + y^{3} = 37$
11371	Вычислим интеграл	интеграл 1/x в пределах от 1 до infinity по x	$\int_{1}^{\infty} \frac{1}{x} d x$
11372	Trovare dy/dx	x^3+y^3=65	$x^{3} + y^{3} = 65$
11373	Trovare dy/dx	x^3+y^3=72	$x^{3} + y^{3} = 72$
11374	Trovare dy/dx	x^2y-4x^2-4=0	$x^{2} y - 4 x^{2} - 4 = 0$
11375	Найти особые точки	f(x)=(x^2)/(x^2-16)	$f (x) = \frac{x^{2}}{x^{2} - 16}$
11376	Trovare dy/dx	x^2y-4x=5	$x^{2} y - 4 x = 5$
11377	Найти интервалы убывания и возрастания с помощью производных	f(x)=(x^3)/4-3x	$f (x) = \frac{x^{3}}{4} - 3 x$
11378	Trovare dy/dx	x^2y+y^2x=30	$x^{2} y + y^{2} x = 30$
11379	Найти точки перегиба	6x^4+8x^3	$6 x^{4} + 8 x^{3}$
11380	Trovare dy/dx	x^2+4xy+y^2=5	$x^{2} + 4 x y + y^{2} = 5$
11381	Trovare dy/dx	x^2+9x+9xy-y^2=16	$x^{2} + 9 x + 9 x y - y^{2} = 16$
11382	Trovare dy/dx	x^2+xy+y^2=27	$x^{2} + x y + y^{2} = 27$
11383	Trovare dy/dx	x^2+xy+y^3=8	$x^{2} + x y + y^{3} = 8$
11384	Trovare dy/dx	x^2+xy+y^2=9	$x^{2} + x y + y^{2} = 9$
11385	Trovare dy/dx	x^2-2xy+3y^2=4	$x^{2} - 2 x y + 3 y^{2} = 4$
11386	Trovare dy/dx	x^2-16xy+y^2=1	$x^{2} - 16 x y + y^{2} = 1$
11387	Trovare dy/dx	x^2-2y^2=16	$x^{2} - 2 y^{2} = 16$
11388	Trovare la Derivata - d/d@VAR	f(z)=(16z^4+4z^2+1)(4z^3-z)	$f (z) = (16 z^{4} + 4 z^{2} + 1) (4 z^{3} - z)$
11389	Trovare dy/dx	x^2y-y^2=6	$x^{2} y - y^{2} = 6$
11390	Trovare dy/dx	x^2-3xy+4y^2=23	$x^{2} - 3 x y + 4 y^{2} = 23$
11391	Trovare dy/dx	x^2y+xy^2=0	$x^{2} y + x y^{2} = 0$
11392	Trovare dy/dx	x^2-4xy-y^2=12	$x^{2} - 4 x y - y^{2} = 12$
11393	Trovare dy/dx	x^2-xy+y^2=0	$x^{2} - x y + y^{2} = 0$
11394	Trovare dy/dx	x^5+y^3=1/y	$x^{5} + y^{3} = \frac{1}{y}$
11395	Trovare dy/dx	x^5y+y^5x=6	$x^{5} y + y^{5} x = 6$
11396	Trovare dy/dx	x^5y+y^5x=9	$x^{5} y + y^{5} x = 9$
11397	Trovare dy/dx	x^(5y)=y^(6x)	$x^{5 y} = y^{6 x}$
11398	Trovare dy/dx	x^4y+y^4x=7	$x^{4} y + y^{4} x = 7$
11399	Trovare dy/dx	x^5y^2-x^4y+2xy^3=0	$x^{5} y^{2} - x^{4} y + 2 x y^{3} = 0$
11400	Trovare dy/dx	x^4+4x^3y+y^4=1	$x^{4} + 4 x^{3} y + y^{4} = 1$