Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
51201	Rationalize the Denominator	( square root of 5x+ square root of 6y)/(25x^2-36y^2)	$\frac{\sqrt{5 x} + \sqrt{6 y}}{25 x^{2} - 36 y^{2}}$
51202	Rationalize the Denominator	( cube root of 5)/( cube root of 7)	$\frac{\sqrt[3]{5}}{\sqrt[3]{7}}$
51203	Rationalize the Denominator	1/(9- square root of 80)	$\frac{1}{9 - \sqrt{80}}$
51204	Rationalize the Denominator	2/(4- square root of 5)	$\frac{2}{4 - \sqrt{5}}$
51205	Rationalize the Denominator	h/(1- square root of h)	$\frac{h}{1 - \sqrt{h}}$
51206	Rationalize the Denominator	-8/(12 root of -8x^2-9x-2)	$\frac{- 8}{\sqrt[12]{- 8 x^{2} - 9 x - 2}}$
51207	Rationalize the Denominator	8/(1- square root of 3)	$\frac{8}{1 - \sqrt{3}}$
51208	Eliminate the Parameter	x=t^2 , y=t^5	$x = t^{2}$ , $y = t^{5}$
51209	Eliminate the Parameter	x=e^t-3 , y=e^(2t)	$x = e^{t} - 3$ , $y = e^{2 t}$
51210	Eliminate the Parameter	x=e^t-6 , y=e^(2t)	$x = e^{t} - 6$ , $y = e^{2 t}$
51211	Eliminate the Parameter	x=e^t , y=e^(-2t)	$x = e^{t}$ , $y = e^{- 2 t}$
51212	Eliminate the Parameter	x=sin(t) , y=csc(t)	$x = \sin (t)$ , $y = \csc (t)$
51213	Eliminate the Parameter	x=8cos(theta) , y=9sin(theta)	$x = 8 \cos (θ)$ , $y = 9 \sin (θ)$
51214	Eliminate the Parameter	x=cos(t) y=sin(t)	$x = \cos (t)$ $y = \sin (t)$
51215	Find the Symmetry	y=\|x\|+1	$y = \| x \| + 1$
51216	Find the Symmetry	x=y^2-6	$x = y^{2} - 6$
51217	Find the Second Derivative	f(x)=(x/6)^12	$f (x) = {(\frac{x}{6})}^{12}$
51218	Find the Second Derivative	f(x)=5 natural log of x	$f (x) = 5 \ln (x)$
51219	Find the Second Derivative	f(x)=5x^2-14x-9/(x^3)	$f (x) = 5 x^{2} - 14 x - \frac{9}{x^{3}}$
51220	Find the Second Derivative	f(x)=(x^3-1)^3	$f (x) = {(x^{3} - 1)}^{3}$
51221	Find the Second Derivative	f(x)=3sin(2x)-3cos(4x)	$f (x) = 3 \sin (2 x) - 3 \cos (4 x)$
51222	Find the Second Derivative	f(x)=9x^3+8x^2+4x	$f (x) = 9 x^{3} + 8 x^{2} + 4 x$
51223	Find the Second Derivative	f(x)=cos(6x^2)	$f (x) = \cos (6 x^{2})$
51224	Find the Second Derivative	f(x)=arctan(2x)	$f (x) = \arctan (2 x)$
51225	Find the Second Derivative	g(t)=3/(4t^5)	$g (t) = \frac{3}{4 t^{5}}$
51226	Find the Second Derivative	f(x)=7x^3+4x^2+2x	$f (x) = 7 x^{3} + 4 x^{2} + 2 x$
51227	Find the Second Derivative	f(x)=5x^3+7x^2+8x	$f (x) = 5 x^{3} + 7 x^{2} + 8 x$
51228	Find the Second Derivative	f(x)=5x^2-14x-6/(x^3)	$f (x) = 5 x^{2} - 14 x - \frac{6}{x^{3}}$
51229	Find the Second Derivative	f(x)=(7+2x)e^(-5x)	$f (x) = (7 + 2 x) e^{- 5 x}$
51230	Find the Second Derivative	f(x)=4x^3+7x^2+9x	$f (x) = 4 x^{3} + 7 x^{2} + 9 x$
51231	Find the Second Derivative	f(x)=e^(-4x)+e^(2x)	$f (x) = e^{- 4 x} + e^{2 x}$
51232	Find the Second Derivative	s(t)=18t^2	$s (t) = 18 t^{2}$
51233	Find the Second Derivative	f(x)=(4x^5-1)^7	$f (x) = {(4 x^{5} - 1)}^{7}$
51234	Find the Second Derivative	f(x)=3x^2-11x-4/(x^3)	$f (x) = 3 x^{2} - 11 x - \frac{4}{x^{3}}$
51235	Find the Second Derivative	f(x)=16x^3-34x^2	$f (x) = 16 x^{3} - 34 x^{2}$
51236	Find the Second Derivative	f(x)=4x^2-10x-9/(x^2)	$f (x) = 4 x^{2} - 10 x - \frac{9}{x^{2}}$
51237	Find the Second Derivative	S(t)=2t^3-t^2+9t-7	$S (t) = 2 t^{3} - t^{2} + 9 t - 7$
51238	Find the Second Derivative	f(x)=7x^3+8x^2+9x	$f (x) = 7 x^{3} + 8 x^{2} + 9 x$
51239	Find the Second Derivative	s(t)=3t^3-t^2+10t-7	$s (t) = 3 t^{3} - t^{2} + 10 t - 7$
51240	Find the Second Derivative	f(x)=10cos(x)	$f (x) = 10 \cos (x)$
51241	Find the Second Derivative	f(x)=6+5x^2	$f (x) = 6 + 5 x^{2}$
51242	Find the Second Derivative	f(x)=tan(4x)	$f (x) = \tan (4 x)$
51243	Find the Second Derivative	s(t)=2t^3-t^2+9t-9	$s (t) = 2 t^{3} - t^{2} + 9 t - 9$
51244	Find the Second Derivative	x(t)=6cos(t)	$x (t) = 6 \cos (t)$
51245	Find the Second Derivative	f(x)=2cos(x)-3sin(x)	$f (x) = 2 \cos (x) - 3 \sin (x)$
51246	Find the Second Derivative	f(x)=2x^3+6x^2+5x	$f (x) = 2 x^{3} + 6 x^{2} + 5 x$
51247	Find the Second Derivative	f(x)=3sec(x)	$f (x) = 3 \sec (x)$
51248	Find the Second Derivative	f(x)=5x^2-13x-9/(x^3)	$f (x) = 5 x^{2} - 13 x - \frac{9}{x^{3}}$
51249	Find the Second Derivative	f(x)=3xcos(x)	$f (x) = 3 x \cos (x)$
51250	Find the Second Derivative	f(x)=7x^3+3x^2+5x	$f (x) = 7 x^{3} + 3 x^{2} + 5 x$
51251	Find the Second Derivative	f(x)=7x^2+8x	$f (x) = 7 x^{2} + 8 x$
51252	Find the Second Derivative	f(x)=(1-8x)/(8-6x)	$f (x) = \frac{1 - 8 x}{8 - 6 x}$
51253	Find the Second Derivative	c(x)=8x^3-64x^2+12000x	$c (x) = 8 x^{3} - 64 x^{2} + 12000 x$
51254	Find the Second Derivative	f(u) = square root of 11-3u	$f (u) = \sqrt{11 - 3 u}$
51255	Find the Second Derivative	f(x)=18x^18+9x^9-x	$f (x) = 18 x^{18} + 9 x^{9} - x$
51256	Find the Second Derivative	f(x)=(x^3)/5-2x	$f (x) = \frac{x^{3}}{5} - 2 x$
51257	Find the Second Derivative	V(r)=k(13r^2-r^3)	$V (r) = k (13 r^{2} - r^{3})$
51258	Find the Second Derivative	f(x)=8e^(-4x)	$f (x) = 8 e^{- 4 x}$
51259	Find the Second Derivative	V(r)=k(16r^2-r^3)	$V (r) = k (16 r^{2} - r^{3})$
51260	Find the Second Derivative	f(r)=r(4r+9)^3	$f (r) = r {(4 r + 9)}^{3}$
51261	Find the Second Derivative	f(x)=-2x^6+9x^5+6x^4	$f (x) = - 2 x^{6} + 9 x^{5} + 6 x^{4}$
51262	Find the Second Derivative	f(x)=8xsin(x)	$f (x) = 8 x \sin (x)$
51263	Find the Second Derivative	g(t)=5/(6t^4)	$g (t) = \frac{5}{6 t^{4}}$
51264	Find the Second Derivative	f(x)=2sin(x)+cos(2x)	$f (x) = 2 \sin (x) + \cos (2 x)$
51265	Find the Second Derivative	f(x)=5x^2-15x-6/(x^2)	$f (x) = 5 x^{2} - 15 x - \frac{6}{x^{2}}$
51266	Find the Second Derivative	f(x)=-27x^3+9x+6	$f (x) = - 27 x^{3} + 9 x + 6$
51267	Find the Second Derivative	f(x)=4sin(3x)	$f (x) = 4 \sin (3 x)$
51268	Find the Second Derivative	f(x)=e^xsin(x)-3e^xcos(x)	$f (x) = e^{x} \sin (x) - 3 e^{x} \cos (x)$
51269	Find the Second Derivative	f(x)=4/(s^2)	$f (x) = \frac{4}{s^{2}}$
51270	Find the Second Derivative	I(t)=-0.005t^3+0.12t^2-0.01+190	$I (t) = - 0.005 t^{3} + 0.12 t^{2} - 0.01 + 190$
51271	Find the Second Derivative	f(x)=5x^2-14x-6/(x^2)	$f (x) = 5 x^{2} - 14 x - \frac{6}{x^{2}}$
51272	Find the Second Derivative	f(x)=9x^3+5x^2+7x	$f (x) = 9 x^{3} + 5 x^{2} + 7 x$
51273	Find the Second Derivative	f(x)=(1+ square root of 3x)/(1- square root of 3x)	$f (x) = \frac{1 + \sqrt{3 x}}{1 - \sqrt{3 x}}$
51274	Find the Second Derivative	P(t)=(1000e^(0.12t))/(19+e^(0.12t))	$P (t) = \frac{1000 e^{0.12 t}}{19 + e^{0.12 t}}$
51275	Find the Second Derivative	f(x)=x^5-3x^4+12x^3-7x^2-10x+8	$f (x) = x^{5} - 3 x^{4} + 12 x^{3} - 7 x^{2} - 10 x + 8$
51276	Find the Second Derivative	f(x)=5x^2-10x-4/(x^4)	$f (x) = 5 x^{2} - 10 x - \frac{4}{x^{4}}$
51277	Find the Second Derivative	f(x)=7-2x^2	$f (x) = 7 - 2 x^{2}$
51278	Find the Second Derivative	f(x)=1+x+x^2+ natural log of x	$f (x) = 1 + x + x^{2} + \ln (x)$
51279	Find the Second Derivative	f(x)=x^4sin(x)	$f (x) = x^{4} \sin (x)$
51280	Find the Second Derivative	g(t)=7/(8t^5)	$g (t) = \frac{7}{8 t^{5}}$
51281	Find the Second Derivative	f(x)=x^4+4x^3-7x^2-8x	$f (x) = x^{4} + 4 x^{3} - 7 x^{2} - 8 x$
51282	Find the Second Derivative	f(x)=5x^2-15x-9/(x^2)	$f (x) = 5 x^{2} - 15 x - \frac{9}{x^{2}}$
51283	Find the Second Derivative	f(x)=300x^3-25x^2+500x	$f (x) = 300 x^{3} - 25 x^{2} + 500 x$
51284	Find the Second Derivative	r(x)=100x-0.09x^2	$r (x) = 100 x - 0.09 x^{2}$
51285	Find the Second Derivative	f(x)=5x^9-e^(2x)	$f (x) = 5 x^{9} - e^{2 x}$
51286	Find the Second Derivative	f(x)=(x^2-4x-21)/(x+3)	$f (x) = \frac{x^{2} - 4 x - 21}{x + 3}$
51287	Find the Second Derivative	f(x)=8x^4+2x^3+2x^2+4	$f (x) = 8 x^{4} + 2 x^{3} + 2 x^{2} + 4$
51288	Find the Second Derivative	f(x)=sec(pi/3)	$f (x) = \sec (\frac{π}{3})$
51289	Find the Second Derivative	s(t)=2t^3-t^2+10t-4	$s (t) = 2 t^{3} - t^{2} + 10 t - 4$
51290	Find the Second Derivative	f(x)=x^8-4e^x	$f (x) = x^{8} - 4 e^{x}$
51291	Find the Second Derivative	f(x) = square root of 2x-9	$f (x) = \sqrt{2 x - 9}$
51292	Find the Second Derivative	h(x)=tan(x)	$h (x) = \tan (x)$
51293	Find the Second Derivative	f(x)=9x^3+6x^2+2x	$f (x) = 9 x^{3} + 6 x^{2} + 2 x$
51294	Find the Second Derivative	f(x)=x/(2x+7)	$f (x) = \frac{x}{2 x + 7}$
51295	Find the Second Derivative	f(x)=4x^5-5x^4+4x^3+6x^2+7	$f (x) = 4 x^{5} - 5 x^{4} + 4 x^{3} + 6 x^{2} + 7$
51296	Find the Second Derivative	f(x)=9x^3+5x^2+6x	$f (x) = 9 x^{3} + 5 x^{2} + 6 x$
51297	Find the Second Derivative	f(x) = square root of x^3- square root of x	$f (x) = \sqrt{x^{3}} - \sqrt{x}$
51298	Find the Second Derivative	f(x)=5(2-7x)^4	$f (x) = 5 {(2 - 7 x)}^{4}$
51299	Find the Second Derivative	S(t)=2t^3-t^2+9t-8	$S (t) = 2 t^{3} - t^{2} + 9 t - 8$
51300	Find the Second Derivative	f(s)=(s-3)/(s+3)	$f (s) = \frac{s - 3}{s + 3}$