Mathway | Problemas populares

Problemas populares

Classificação	Tópico	Problema	Problema formatado
10501	Ermittle dy/dx	y=3x	$y = 3 x$
10502	Ermittle dy/dx	y=3x^8-sin(x)+x^3tan(x)	$y = 3 x^{8} - \sin (x) + x^{3} \tan (x)$
10503	Ermittle dy/dx	y=3-2x-x^3	$y = 3 - 2 x - x^{3}$
10504	Ermittle dy/dx	y=2x^2+7x-4	$y = 2 x^{2} + 7 x - 4$
10505	Ermittle dy/dx	y=2x^2-5x+3x^-2+4x^-3	$y = 2 x^{2} - 5 x + 3 x^{- 2} + 4 x^{- 3}$
10506	Ermittle dy/dx	y=3x^2-11x-8x^-3	$y = 3 x^{2} - 11 x - 8 x^{- 3}$
10507	Ermittle dy/dx	y=3 raiz quadrada de x	$y = 3 \sqrt{x}$
10508	Ermittle dy/dx	y=xe^(-x)	$y = x e^{- x}$
10509	Ermittle dy/dx	y=xe^(3x-1)	$y = x e^{3 x - 1}$
10510	Ermittle dy/dx	y=14 raiz quadrada de x	$y = 14 \sqrt{x}$
10511	Ermittle dy/dx	y=2x^-3-4x^-2	$y = 2 x^{- 3} - 4 x^{- 2}$
10512	Ermittle dy/dx	y=2x-5	$y = 2 x - 5$
10513	Ermittle dy/dx	y=2x^4-6x^2+6	$y = 2 x^{4} - 6 x^{2} + 6$
10514	Ermittle dy/dx	y=x^(6x)	$y = x^{6 x}$
10515	Ermittle dy/dx	y=x^7 logaritmo natural de x-1/2x^2	$y = x^{7} \ln (x) - \frac{1}{2} x^{2}$
10516	Ermittle dy/dx	y=x^8 logaritmo natural de x-1/5x^5	$y = x^{8} \ln (x - \frac{1}{5} x^{5})$
10517	Ermittle dy/dx	y=x^8sin(x)	$y = x^{8} \sin (x)$
10518	Ermittle dy/dx	y=x^-6	$y = x^{- 6}$
10519	Ermittle dy/dx	y=(x+1)/(5x-1)	$y = \frac{x + 1}{5 x - 1}$
10520	Ermittle dy/dx	y+3xy-7=0	$y + 3 x y - 7 = 0$
10521	Ermittle dy/dx	y+2xy-9=0	$y + 2 x y - 9 = 0$
10522	Ermittle dy/dx	xy-cos(xy)=8	$x y - \cos (x y) = 8$
10523	Ermittle dy/dx	y+3xy-3=0	$y + 3 x y - 3 = 0$
10524	Ermittle dy/dx	y+4xy-2=0	$y + 4 x y - 2 = 0$
10525	Ermittle dy/dx	y+5xy-2=0	$y + 5 x y - 2 = 0$
10526	Ermittle dy/dx	y+6xy-1=0	$y + 6 x y - 1 = 0$
10527	Ermittle dy/dx	y+7xy-5=0	$y + 7 x y - 5 = 0$
10528	Ermittle dy/dx	xy-y-1=0	$x y - y - 1 = 0$
10529	Ermittle dy/dx	xy-y-11x=5	$x y - y - 11 x = 5$
10530	Ermittle dy/dx	y=arccos( raiz quadrada de x)+arcsin( raiz quadrada de 1-x)	$y = \arccos (\sqrt{x}) + \arcsin (\sqrt{1 - x})$
10531	Ermittle dy/dx	y+xcos(y)=x^2y	$y + x \cos (y) = x^{2} y$
10532	Ermittle dy/dx	y=(4x^2-e^(2x))sin(3x)	$y = (4 x^{2} - e^{2 x}) \sin (3 x)$
10533	Ermittle dy/dx	y=(x+1/x)(x-1/x)	$y = (x + \frac{1}{x}) (x - \frac{1}{x})$
10534	Ermittle dy/dx	y=(2x-csc(3x-1)^2)	$y = (2 x - \csc^{2} (3 x - 1))$
10535	Ermittle dy/dx	y=(x^2+2x)^(1/3)	$y = {(x^{2} + 2 x)}^{\frac{1}{3}}$
10536	Ermittle dy/dx	y=(x^2 logaritmo natural de x)^4	$y = {(x^{2} \ln (x))}^{4}$
10537	Ermittle dy/dx	x+7y=2	$x + 7 y = 2$
10538	Ermittle dy/dx	x+sin(y)=xy	$x + \sin (y) = x y$
10539	Ermittle dy/dx	(x^2+4)y=8	$(x^{2} + 4) y = 8$
10540	Ermittle die Ableitung - d/d@VAR	f(x)=x/(x^2+225)	$f (x) = \frac{x}{x^{2} + 225}$
10541	Ermittle dy/dx	x+2y=1600	$x + 2 y = 1600$
10542	Ermittle dy/dx	x+xy=2	$x + x y = 2$
10543	Ermittle dy/dx	y=(4x-4)^2	$y = {(4 x - 4)}^{2}$
10544	Ermittle dy/dx	y=( raiz quadrada de x-3)/( raiz quadrada de x+3)	$y = \frac{\sqrt{x} - 3}{\sqrt{x} + 3}$
10545	Ermittle dy/dx	x=sec(5y)	$x = \sec (5 y)$
10546	Ermittle dy/dx	x=sec(2y)	$x = \sec (2 y)$
10547	Ermittle dy/dx	x=csc(y)	$x = \csc (y)$
10548	Ermittle dy/dx	x = natural log of 1-7y^2	$x = \ln (1 - 7 y^{2})$
10549	Ermittle dy/dx	x = square root of x^2+y^2	$x = \sqrt{x^{2} + y^{2}}$
10550	Ermittle dy/dx	x = square root of 1-y^2	$x = \sqrt{1 - y^{2}}$
10551	Ermittle dy/dx	xy-7000=y	$x y - 7000 = y$
10552	Ermittle dy/dx	xy=sin(x+y)	$x y = \sin (x + y)$
10553	Ermittle die Ableitung - d/d@VAR	f(x) = raiz quadrada de x-2 raiz cúbica de x	$f (x) = \sqrt{x} - 2 \sqrt[3]{x}$
10554	Ermittle die Ableitung - d/d@VAR	f(x)=x^4-13x^2+36	$f (x) = x^{4} - 13 x^{2} + 36$
10555	Ermittle dy/dx	xy=0	$x y = 0$
10556	Ermittle dy/dx	xy=9	$x y = 9$
10557	Ermittle dy/dx	xy=e^(xy-1)	$x y = e^{x y - 1}$
10558	Ermittle dy/dx	xy+2y=x^2	$x y + 2 y = x^{2}$
10559	Ermittle dy/dx	xy+6e^y=6e	$x y + 6 e^{y} = 6 e$
10560	Ermittle dy/dx	xy-y^3=1	$x y - y^{3} = 1$
10561	Ermittle dy/dx	xsin(y)=1	$x \sin (y) = 1$
10562	Ermittle dy/dx	xsin(y)=2	$x \sin (y) = 2$
10563	Ermittle dy/dx	xy^3+x^2y^2+3x^2-6=1	$x y^{3} + x^{2} y^{2} + 3 x^{2} - 6 = 1$
10564	Ermittle dy/dx	y=4x	$y = 4 x$
10565	Ermittle dy/dx	x logaritmo natural de y+2y=2x^3	$x \ln (y) + 2 y = 2 x^{3}$
10566	Ermittle dy/dx	xsin(y)+cos(2y)=cos(y)	$x \sin (y) + \cos (2 y) = \cos (y)$
10567	Ermittle die Ableitung - d/d@VAR	f(x)=4/3*(pir^3)	$f (x) = \frac{4}{3} \cdot (π r^{3})$
10568	Ermittle dy/dx	x-tan(xy)=-6	$x - \tan (x y) = - 6$
10569	Ermittle dy/dx	xy+y^3=4x-3	$x y + y^{3} = 4 x - 3$
10570	Ermittle dy/dx	xy+x^2+y^2=5	$x y + x^{2} + y^{2} = 5$
10571	Ermittle dy/dx	xy+3=y	$x y + 3 = y$
10572	Ermittle dy/dx	arctan(x^2y)=x+xy^2	$\arctan (x^{2} y) = x + x y^{2}$
10573	Ermittle die Ableitung - d/d@VAR	f(x) = natural log of 12x	$f (x) = \ln (12 x)$
10574	Ermittle dy/dx	9x^4+18x^2y^2+9y^4=81x^2-81y^2	$9 x^{4} + 18 x^{2} y^{2} + 9 y^{4} = 81 x^{2} - 81 y^{2}$
10575	Ermittle dy/dx	cos(x)+ raiz quadrada de y=3	$\cos (x) + \sqrt{y} = 3$
10576	Ermittle dy/dx	arcsin(xy)=2/3*arctan(4x)	$\arcsin (x y) = \frac{2}{3} \cdot \arctan (4 x)$
10577	Berechne die Ableitung bei @EQ	y=x^2-2x , y=x	$y = x^{2} - 2 x$ , $y = x$
10578	Ermittle dy/dx	7cos(7x)sin(5y)=3	$7 \cos (7 x) \sin (5 y) = 3$
10579	Ermittle dy/dx	-8e^y=x^3-y^3	$- 8 e^{y} = x^{3} - y^{3}$
10580	Ermittle dy/dx	8x^3+x^2y-xy^3=8	$8 x^{3} + x^{2} y - x y^{3} = 8$
10581	Ermittle dy/dx	8x^3+x^2y-xy^3=3	$8 x^{3} + x^{2} y - x y^{3} = 3$
10582	Ermittle dy/dx	8x^3+x^2y-xy^3=5	$8 x^{3} + x^{2} y - x y^{3} = 5$
10583	Ermittle dy/dx	(8y(dy))/(dx)=12/((3x+2)^2)	$\frac{8 y (d y)}{d x} = \frac{12}{{(3 x + 2)}^{2}}$
10584	Ermittle dy/dx	8x+y^2-5y+8=0	$8 x + y^{2} - 5 y + 8 = 0$
10585	Ermittle dy/dx	8xy+y^2=9x+y	$8 x y + y^{2} = 9 x + y$
10586	Ermittle dy/dx	8cos(x)sin(y)=4	$8 \cos (x) \sin (y) = 4$
10587	Ermittle dy/dx	9x^2y+2xy^2=-9	$9 x^{2} y + 2 x y^{2} = - 9$
10588	Ermittle dy/dx	9cos(x)sin(y)=6	$9 \cos (x) \sin (y) = 6$
10589	Ermittle dy/dx	9cos(x)sin(y)=7	$9 \cos (x) \sin (y) = 7$
10590	Ermittle dy/dx	y=(x/3.6+3.6/x)(x^2+1)	$y = (\frac{x}{3.6} + \frac{3.6}{x}) (x^{2} + 1)$
10591	Ermittle dy/dx	logaritmo natural de xy=x+y	$\ln (x y) = x + y$
10592	Ermittle dy/dx	logaritmo natural de xy+4x=15	$\ln (x y) + 4 x = 15$
10593	Ermittle dy/dx	logaritmo natural de xy+8x=45	$\ln (x y) + 8 x = 45$
10594	Ermittle dy/dx	logaritmo natural de xy=e^(2x)	$\ln (x y) = e^{2 x}$
10595	Ermittle dy/dx	cot(y)=3x-2y	$\cot (y) = 3 x - 2 y$
10596	Ermittle dy/dx	logaritmo natural de x+ logaritmo natural de y=3x-3y	$\ln (x) + \ln (y) = 3 x - 3 y$
10597	Ermittle dy/dx	logaritmo natural de xy+5x=30	$\ln (x) y + 5 x = 30$
10598	Ermittle dy/dx	cos(x)+ raiz quadrada de y=7	$\cos (x) + \sqrt{y} = 7$
10599	Ermittle dy/dx	tan(y)-xy=0	$\tan (y) - x y = 0$
10600	Ermittle dy/dx	tan(xy)=3x+2y	$\tan (x y) = 3 x + 2 y$