Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
22201	Find the Derivative - d/d@VAR	f(x)=sin(2x^2)	$f (x) = \sin (2 x^{2})$
22202	Find the Derivative - d/d@VAR	f(x)=sin(pi/x)	$f (x) = \sin (\frac{π}{x})$
22203	Find the Derivative - d/d@VAR	f(x)=sin(1-x)	$f (x) = \sin (1 - x)$
22204	Find the Derivative - d/d@VAR	f(x)=sin(2x)-cos(2x)	$f (x) = \sin (2 x) - \cos (2 x)$
22205	Find the Derivative - d/d@VAR	f(x)=sin(2x)cos(3x)	$f (x) = \sin (2 x) \cos (3 x)$
22206	Find the Derivative - d/d@VAR	f(x)=sin(tan(2x))	$f (x) = \sin (\tan (2 x))$
22207	Find the Derivative - d/d@VAR	f(x)=sin(x)*cos(x)	$f (x) = \sin (x) \cdot \cos (x)$
22208	Find the Derivative - d/d@VAR	f(x)=sin(6x)	$f (x) = \sin (6 x)$
22209	Find the Derivative - d/d@VAR	f(x)=sin(arccos(x))	$f (x) = \sin (\arccos (x))$
22210	Find the Derivative - d/d@VAR	f(x) = natural log of x^5-e^(2x)	$f (x) = \ln (x^{5} - e^{2 x})$
22211	Find the Derivative - d/d@VAR	f(x)=sec(x)tan(x)	$f (x) = \sec (x) \tan (x)$
22212	Find the Derivative - d/d@VAR	f(x) = natural log of tan(5x+1)	$f (x) = \ln (\tan (5 x + 1))$
22213	Find the Derivative - d/d@VAR	f(x) = natural log of x+8	$f (x) = \ln (x + 8)$
22214	Find the Derivative - d/d@VAR	f(x)=sin((z-7)/(z+7))	$f (x) = \sin (\frac{z - 7}{z + 7})$
22215	Find the Derivative - d/d@VAR	f(x) = natural log of sec(x)	$f (x) = \ln (\sec (x))$
22216	Find the Derivative - d/d@VAR	f(x) = natural log of x+1	$f (x) = \ln (x) + 1$
22217	Find the Derivative - d/d@VAR	f(x) = natural log of 8x	$f (x) = \ln (8 x)$
22218	Find the Derivative - d/d@VAR	f(x) = natural log of x+ square root of x^2-1	$f (x) = \ln (x + \sqrt{x^{2} - 1})$
22219	Find the Derivative - d/d@VAR	f(x) = log of e^x	$f (x) = \log (e^{x})$
22220	Find the Derivative - d/d@VAR	f(x)=x+ square root of 1-x	$f (x) = x + \sqrt{1 - x}$
22221	Find the Derivative - d/d@VAR	f(x)=x-x^3	$f (x) = x - x^{3}$
22222	Find the Derivative - d/d@VAR	f(x)=xcos(x)-sin(x)	$f (x) = x \cos (x) - \sin (x)$
22223	Find the Derivative - d/d@VAR	f(x)=x+2cos(x)	$f (x) = x + 2 \cos (x)$
22224	Find the Derivative - d/d@VAR	f(x)=x-2cos(x)	$f (x) = x - 2 \cos (x)$
22225	Find the Derivative - d/d@VAR	f(x)=xy	$f (x) = x y$
22226	Find the Derivative - d/d@VAR	f(x)=x(24-0.06x)	$f (x) = x (24 - 0.06 x)$
22227	Find the Derivative - d/d@VAR	f(x)=x(x-15)^2	$f (x) = x {(x - 15)}^{2}$
22228	Find the Derivative - d/d@VAR	f(x)=x(2x-5)^3	$f (x) = x {(2 x - 5)}^{3}$
22229	Find the Derivative - d/d@VAR	f(x)=x(3x-9)^3	$f (x) = x {(3 x - 9)}^{3}$
22230	Find the Derivative - d/d@VAR	f(x)=x+3/x	$f (x) = x + \frac{3}{x}$
22231	Find the Derivative - d/d@VAR	f(x)=x square root of 8-x^2	$f (x) = x \sqrt{8 - x^{2}}$
22232	Find the Derivative - d/d@VAR	f(x)=x square root of 2x+1	$f (x) = x \sqrt{2 x + 1}$
22233	Find the Derivative - d/d@VAR	f(x)=x-1/x	$f (x) = x - \frac{1}{x}$
22234	Find dw/dz	w=z^5-e	$w = z^{5} - e$
22235	Find the Local Maxima and Minima	f(x)=9-9x-16/(x^2)	$f (x) = 9 - 9 x - \frac{16}{x^{2}}$
22236	Find the Local Maxima and Minima	f(x)=9sin(x)cos(x)	$f (x) = 9 \sin (x) \cos (x)$
22237	Find the Local Maxima and Minima	f(x)=arcsin(x)	$f (x) = \arcsin (x)$
22238	Find the Local Maxima and Minima	f(x)=9x^5-2x^3-x	$f (x) = 9 x^{5} - 2 x^{3} - x$
22239	Find the Local Maxima and Minima	f(x)=9x^6-11x^5	$f (x) = 9 x^{6} - 11 x^{5}$
22240	Find the Local Maxima and Minima	f(x)=8x^6-13x^5	$f (x) = 8 x^{6} - 13 x^{5}$
22241	Find the Local Maxima and Minima	f(x)=x square root of x-x^4	$f (x) = x \sqrt{x - x^{4}}$
22242	Find the Derivative Using Chain Rule - d/d?	y=e^(tan(theta))	$y = e^{\tan (θ)}$
22243	Find the Local Maxima and Minima	f(x)=x+32/(x^2)	$f (x) = x + \frac{32}{x^{2}}$
22244	Find the Local Maxima and Minima	f(x)=x-1/x+2/(x^3)	$f (x) = x - \frac{1}{x} + \frac{2}{x^{3}}$
22245	Find the Local Maxima and Minima	f(x)=x(18-x)	$f (x) = x (18 - x)$
22246	Find the Local Maxima and Minima	f(x)=sin(2x)	$f (x) = \sin (2 x)$
22247	Find the Local Maxima and Minima	f(x) = natural log of 4- natural log of x	$f (x) = \ln (4 - \ln (x))$
22248	Find the Local Maxima and Minima	g(t)=3t^2+5t-4	$g (t) = 3 t^{2} + 5 t - 4$
22249	Find the Local Maxima and Minima	f(x)=x+2sin(x)*0=x=2pi	$f (x) = x + 2 \sin (x) \cdot 0 = x = 2 π$
22250	Find the Local Maxima and Minima	f(x)=x+cos(2x)	$f (x) = x + \cos (2 x)$
22251	Find the Local Maxima and Minima	f(x)=x+sin(2x)+4	$f (x) = x + \sin (2 x) + 4$
22252	Find the Local Maxima and Minima	f(x)=x-sin(2x)	$f (x) = x - \sin (2 x)$
22253	Find the Local Maxima and Minima	g(x)=x^3-3x	$g (x) = x^{3} - 3 x$
22254	Find the Local Maxima and Minima	g(x)=x^3-4x^2-3x-1	$g (x) = x^{3} - 4 x^{2} - 3 x - 1$
22255	Find the Local Maxima and Minima	g(x)=190+8x^3+x^4	$g (x) = 190 + 8 x^{3} + x^{4}$
22256	Find the Local Maxima and Minima	h(x)=e^(x^2-9)	$h (x) = e^{x^{2} - 9}$
22257	Find the Local Maxima and Minima	H(t)=5/4t^8-t^10	$H (t) = \frac{5}{4} t^{8} - t^{10}$
22258	Find the Local Maxima and Minima	g(x)=3x^2-18x+7	$g (x) = 3 x^{2} - 18 x + 7$
22259	Find the Local Maxima and Minima	h(x)=xe^x	$h (x) = x e^{x}$
22260	Find the Local Maxima and Minima	h(t)=t^(3/4)-6t^(1/4)	$h (t) = t^{\frac{3}{4}} - 6 t^{\frac{1}{4}}$
22261	Find the Local Maxima and Minima	H(t)=t^10-5/6t^12	$H (t) = t^{10} - \frac{5}{6} t^{12}$
22262	Find the Local Maxima and Minima	h(t)=2t^3-25.9t^2+1110	$h (t) = 2 t^{3} - 25.9 t^{2} + 1110$
22263	Find the Local Maxima and Minima	g(x)=6x^3-15x^2+12x	$g (x) = 6 x^{3} - 15 x^{2} + 12 x$
22264	Find the Local Maxima and Minima	g(x)=3x^4-12x^2+9	$g (x) = 3 x^{4} - 12 x^{2} + 9$
22265	Find the Local Maxima and Minima	s(x)=-x^2-20x-19	$s (x) = - x^{2} - 20 x - 19$
22266	Find the Local Maxima and Minima	u(x)=100x+40y-5x^2-2y^2	$u (x) = 100 x + 40 y - 5 x^{2} - 2 y^{2}$
22267	Find the Local Maxima and Minima	u(x)=100x+64y-0.01x^2-0.25y^2	$u (x) = 100 x + 64 y - 0.01 x^{2} - 0.25 y^{2}$
22268	Find the Local Maxima and Minima	r(t)=(34t)/(t^2+289)	$r (t) = \frac{34 t}{t^{2} + 289}$
22269	Find the Local Maxima and Minima	r(x)=1911x-0.13x^3	$r (x) = 1911 x - 0.13 x^{3}$
22270	Find the Local Maxima and Minima	h(x)=8x^3-336x^2+2760x+1608	$h (x) = 8 x^{3} - 336 x^{2} + 2760 x + 1608$
22271	Find the Local Maxima and Minima	P(x)=-(x-4)e^x-4	$P (x) = - (x - 4) e^{x} - 4$
22272	Find the Local Maxima and Minima	h(x) = natural log of 2x^2+18	$h (x) = \ln (2 x^{2} + 18)$
22273	Evaluate the Limit	limit as x approaches 2 of x^2-3x+5	$lim_{x \to 2} x^{2} - 3 x + 5$
22274	Find the Local Maxima and Minima	p(x)=300-3x	$p (x) = 300 - 3 x$
22275	Find the Local Maxima and Minima	x(x-3)^2(x+1)	$x {(x - 3)}^{2} (x + 1)$
22276	Find the Local Maxima and Minima	y=e^(2x)-e^x	$y = e^{2 x} - e^{x}$
22277	Find the Local Maxima and Minima	y=3x^2-10x-8	$y = 3 x^{2} - 10 x - 8$
22278	Evaluate the Limit	limit as x approaches 0 of (8^(2x)-1)/(8^x-1)	$lim_{x \to 0} \frac{8^{2 x} - 1}{8^{x} - 1}$
22279	Find the Local Maxima and Minima	x+ square root of 1-x	$x + \sqrt{1 - x}$
22280	Find the Local Maxima and Minima	y=(x^3)/3-2x^2-12x	$y = \frac{x^{3}}{3} - 2 x^{2} - 12 x$
22281	Find the Local Maxima and Minima	y=x^3-x^2	$y = x^{3} - x^{2}$
22282	Find the Local Maxima and Minima	y=-x^3+x^2+x+5	$y = - x^{3} + x^{2} + x + 5$
22283	Find the Local Maxima and Minima	y=x^2	$y = x^{2}$
22284	Find the Local Maxima and Minima	y=x^2e^x	$y = x^{2} e^{x}$
22285	Find the Local Maxima and Minima	y=x^3-5x^2-8x+3	$y = x^{3} - 5 x^{2} - 8 x + 3$
22286	Find the Local Maxima and Minima	y=x^3-5x^2-8x+4	$y = x^{3} - 5 x^{2} - 8 x + 4$
22287	Find the Local Maxima and Minima	y=x^3-5x^2-8x-5	$y = x^{3} - 5 x^{2} - 8 x - 5$
22288	Find the Local Maxima and Minima	y=x^3-6x^2+12x-6	$y = x^{3} - 6 x^{2} + 12 x - 6$
22289	Find the Local Maxima and Minima	y=x^3-7x^2-24x+5	$y = x^{3} - 7 x^{2} - 24 x + 5$
22290	Find the Local Maxima and Minima	y=x^3-7x^2-24x+7	$y = x^{3} - 7 x^{2} - 24 x + 7$
22291	Find the Local Maxima and Minima	y=x^3-7x^2-5x+4	$y = x^{3} - 7 x^{2} - 5 x + 4$
22292	Find the Local Maxima and Minima	y=x^4e^(-x)	$y = x^{4} e^{- x}$
22293	Find the Local Maxima and Minima	y=-x^4+4x^2-10	$y = - x^{4} + 4 x^{2} - 10$
22294	Find the Local Maxima and Minima	y=x^3-12x^2+48x+1	$y = x^{3} - 12 x^{2} + 48 x + 1$
22295	Find the Local Maxima and Minima	y=x^3-2x^2-4x+8	$y = x^{3} - 2 x^{2} - 4 x + 8$
22296	Find the Local Maxima and Minima	y=x^3-2x^2-4x+2	$y = x^{3} - 2 x^{2} - 4 x + 2$
22297	Find the Local Maxima and Minima	y=x^3-3x^2-45x	$y = x^{3} - 3 x^{2} - 45 x$
22298	Find the Local Maxima and Minima	y=x^3-3x^2-72x	$y = x^{3} - 3 x^{2} - 72 x$
22299	Find the Local Maxima and Minima	y=x^3-3x	$y = x^{3} - 3 x$
22300	Find the Local Maxima and Minima	y=x^3-12x+2	$y = x^{3} - 12 x + 2$