Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
15701	Simplify	( square root of x^2+22)/(5 square root of 21-(4 square root of x)/x)	$\frac{\sqrt{x^{2} + 22}}{5 \sqrt{21} - \frac{4 \sqrt{x}}{x}}$
15702	Simplify	( square root of x^2+49-25)/(x+24)	$\frac{\sqrt{x^{2} + 49} - 25}{x + 24}$
15703	Simplify	( square root of 2y)/( square root of 2x)	$\frac{\sqrt{2 y}}{\sqrt{2 x}}$
15704	Simplify	( square root of x^9y)^6	${(\sqrt{x^{9} y})}^{6}$
15705	Simplify	(1/( square root of 1+x)-1)/x	$\frac{\frac{1}{\sqrt{1 + x}} - 1}{x}$
15706	Simplify	(-3(8x-3)^(1/3)x^-2-8(8x-3))/21	$\frac{- 3 {(8 x - 3)}^{\frac{1}{3}} x^{- 2} - 8 (8 x - 3)}{21}$
15707	Simplify	((x^2+2x-3)/(x^2-x-6))/((x-1)/(4x-12))	$\frac{\frac{x^{2} + 2 x - 3}{x^{2} - x - 6}}{\frac{x - 1}{4 x - 12}}$
15708	Simplify	(1/x)/3	$\frac{\frac{1}{x}}{3}$
15709	Simplify	(1/( square root of x+h)-1/x)/h	$\frac{\frac{1}{\sqrt{x + h}} - \frac{1}{x}}{h}$
15710	Simplify	(1/x-1/3)/(x-3)	$\frac{\frac{1}{x} - \frac{1}{3}}{x - 3}$
15711	Simplify	(1/x-1/5)/(1/(x^2)-1/25)	$\frac{\frac{1}{x} - \frac{1}{5}}{\frac{1}{x^{2}} - \frac{1}{25}}$
15712	Simplify	(1/(x+2)+3)/(4/x-x)	$\frac{\frac{1}{x + 2} + 3}{\frac{4}{x} - x}$
15713	Simplify	(1/(x+h)+1/x)/x	$\frac{\frac{1}{x + h} + \frac{1}{x}}{x}$
15714	Simplify	(2/(x^2))/(10/(x^5))	$\frac{\frac{2}{x^{2}}}{\frac{10}{x^{5}}}$
15715	Simplify	(25/a-a)/(5+a)	$\frac{\frac{25}{a} - a}{5 + a}$
15716	Simplify	(3x square root of 3)/(x^(1/2))	$\frac{3 x \sqrt{3}}{x^{\frac{1}{2}}}$
15717	Simplify	(24x)/(2x+3)	$\frac{24 x}{2 x + 3}$
15718	Simplify	(9-x^-2)/(3-x^-1)	$\frac{9 - x^{- 2}}{3 - x^{- 1}}$
15719	Simplify	((x+4) square root of (x+2)(x-5))/((x-8)(x+4)(x-2))	$\frac{(x + 4) \sqrt{(x + 2) (x - 5)}}{(x - 8) (x + 4) (x - 2)}$
15720	Simplify	(( square root of x^2-2)/x)/(( square root of 2)/x)	$\frac{\frac{\sqrt{x^{2} - 2}}{x}}{\frac{\sqrt{2}}{x}}$
15721	Simplify	((2+x)^3-8)/x	$\frac{{(2 + x)}^{3} - 8}{x}$
15722	Simplify	((m^2-n^2)/(m-n))/(m/(m^2-(nm)))	$\frac{\frac{m^{2} - n^{2}}{m - n}}{\frac{m}{m^{2} - n m}}$
15723	Simplify	((x^2-y^2)/(xy))/((x+y)/y)	$\frac{\frac{x^{2} - y^{2}}{x y}}{\frac{x + y}{y}}$
15724	Simplify	((x^2-1)/x)/((x+1)/(x^3))	$\frac{\frac{x^{2} - 1}{x}}{\frac{x + 1}{x^{3}}}$
15725	Simplify	((x^2-11x+28)/(x^2-12x+32))/(x^2-15x+56)	$\frac{\frac{x^{2} - 11 x + 28}{x^{2} - 12 x + 32}}{x^{2} - 15 x + 56}$
15726	Simplify	(h^2+(2x+2)h+(x^2+2x)-(x^2+2x))/h	$\frac{h^{2} + (2 x + 2) h + (x^{2} + 2 x) - (x^{2} + 2 x)}{h}$
15727	Simplify	( square root of y+9)^2	${(\sqrt{y + 9})}^{2}$
15728	Simplify	(5+ square root of 3)/(4- square root of 2)	$\frac{5 + \sqrt{3}}{4 - \sqrt{2}}$
15729	Find the Derivative - d/dt	((t^3)/(t^8+3))^2	${(\frac{t^{3}}{t^{8} + 3})}^{2}$
15730	Find the Derivative - d/dt	((t^3)/(t^8+7))^2	${(\frac{t^{3}}{t^{8} + 7})}^{2}$
15731	Find the Derivative - d/dt	(t^2-5)^2	${(t^{2} - 5)}^{2}$
15732	Find the Derivative - d/dt	(t^2+1)^(1/2)	${(t^{2} + 1)}^{\frac{1}{2}}$
15733	Find the Derivative - d/dt	(t^2+8)/(7t)	$\frac{t^{2} + 8}{7 t}$
15734	Find the Derivative - d/dt	(t^3+2t^2)/( square root of t)	$\frac{t^{3} + 2 t^{2}}{\sqrt{t}}$
15735	Find the Derivative - d/dt	0.21te^(-0.3t)	$0.21 t e^{- 0.3 t}$
15736	Find the Derivative - d/dt	3t^3-t^2+9t-7	$3 t^{3} - t^{2} + 9 t - 7$
15737	Find the Derivative - d/dt	(3t-1)(2t-2)^-1	$(3 t - 1) {(2 t - 2)}^{- 1}$
15738	Find the Derivative - d/dt	((t^2)/(t^3-4t))^3	${(\frac{t^{2}}{t^{3} - 4 t})}^{3}$
15739	Find the Derivative - d/dt	((5t^2)/(3t^2+2))^3	${(\frac{5 t^{2}}{3 t^{2} + 2})}^{3}$
15740	Find the Derivative - d/dt	(e^(t^2)+5t)^3	${(e^{t^{2}} + 5 t)}^{3}$
15741	Find the Derivative - d/dt	-18.3t^2	$- 18.3 t^{2}$
15742	Find the Derivative - d/dt	(1-t)(9+t^2)^-1	$(1 - t) {(9 + t^{2})}^{- 1}$
15743	Find dy/dx	y = square root of natural log of 2x	$y = \sqrt{\ln (2 x)}$
15744	Find the Derivative - d/dt	(1+ square root of t)(2t^2-3)	$(1 + \sqrt{t}) (2 t^{2} - 3)$
15745	Find the Derivative - d/dt	(10+0.2t+0.01t^2)(6000+500t+10t^2)	$(10 + 0.2 t + 0.01 t^{2}) (6000 + 500 t + 10 t^{2})$
15746	Find the Derivative - d/dt	(5t^3+t^2)(2t-4)	$(5 t^{3} + t^{2}) (2 t - 4)$
15747	Find the Derivative - d/dk	e^(kx)	$e^{k x}$
15748	Find the Derivative - d/ds	9stan(s)	$9$ stan $(s)$
15749	Find the Derivative - d/ds	sin(2x)	$\sin (2 x)$
15750	Find the Derivative - d/dt	(t^2+7t+6)(2t^-2+6t^-3)	$(t^{2} + 7 t + 6) (2 t^{- 2} + 6 t^{- 3})$
15751	Find the Derivative - d/ds	2s^-3	$2 s^{- 3}$
15752	Find the Derivative - d/dt	(1-10t)/(1+9t)	$\frac{1 - 10 t}{1 + 9 t}$
15753	Find the Derivative - d/dt	1/(2t^3)	$\frac{1}{2 t^{3}}$
15754	Find the Derivative - d/dt	1/2*(6t^2+t)^-3	$\frac{1}{2} \cdot {(6 t^{2} + t)}^{- 3}$
15755	Find the Derivative - d/dt	1/(4-t^2)	$\frac{1}{4 - t^{2}}$
15756	Find the Derivative - d/dt	1/4t^2- natural log of t+1	$\frac{1}{4} t^{2} - \ln (t + 1)$
15757	Find the Derivative - d/dt	1/(t^2+1)	$\frac{1}{t^{2} + 1}$
15758	Find the Derivative - d/dt	1/(t^3)	$\frac{1}{t^{3}}$
15759	Find the Derivative - d/dt	1/(1+t^2)	$\frac{1}{1 + t^{2}}$
15760	Find the Derivative - d/dt	( square root of a+bt)/t	$\frac{\sqrt{a + b t}}{t}$
15761	Find the Derivative - d/dt	( square root of 5)/(t^3)	$\frac{\sqrt{5}}{t^{3}}$
15762	Find the Derivative - d/dt	(t^4)/4	$\frac{t^{4}}{4}$
15763	Find the Derivative - d/dt	(20cos(100t))^2	${(20 \cos (100 t))}^{2}$
15764	Find the Derivative - d/dt	(-2t^3+5t^2-4t)/((1-t)^2)	$\frac{- 2 t^{3} + 5 t^{2} - 4 t}{{(1 - t)}^{2}}$
15765	Find the Derivative - d/dt	(12t^2)^2	${(12 t^{2})}^{2}$
15766	Find the Derivative - d/dt	(8t-7)^4+(8t+7)^4	${(8 t - 7)}^{4} + {(8 t + 7)}^{4}$
15767	Find the Derivative - d/dt	(2-3t^2)^3	${(2 - 3 t^{2})}^{3}$
15768	Find the Derivative - d/dt	((t+3)(27(3t-10)^8)-(3t-10)^9*1)/((t+3)^2)	$\frac{(t + 3) (27 {(3 t - 10)}^{8}) - {(3 t - 10)}^{9} \cdot 1}{{(t + 3)}^{2}}$
15769	Find the Derivative - d/dt	(t^2)/(2t^3+27)	$\frac{t^{2}}{2 t^{3} + 27}$
15770	Find the Derivative - d/dt	(t^2)/(t-4)	$\frac{t^{2}}{t - 4}$
15771	Find the Derivative - d/dt	(t^2+1)/(t^4-3t^2+4)	$\frac{t^{2} + 1}{t^{4} - 3 t^{2} + 4}$
15772	Find the Derivative - d/dt	e^((1+5t)^2)	$e^{{(1 + 5 t)}^{2}}$
15773	Find the Derivative - d/dt	e^(-0.06t)	$e^{- 0.06 t}$
15774	Find the Derivative - d/dt	e^(-0.3t)sin(5t)	$e^{- 0.3 t} \sin (5 t)$
15775	Find the Derivative - d/dt	e^(-0.03t)	$e^{- 0.03 t}$
15776	Find the Derivative - d/dt	e^(-t)cos(t)	$e^{- t} \cos (t)$
15777	Find the Derivative - d/dt	e^t(e^(2t)-e^(-2t))	$e^{t} (e^{2 t} - e^{- 2 t})$
15778	Find the Derivative - d/dt	e^(tsin(2t))	$e^{t \sin (2 t)}$
15779	Find the Derivative - d/dt	e^(7t)	$e^{7 t}$
15780	Find the Derivative - d/dt	e^(-3t^2)	$e^{- 3 t^{2}}$
15781	Find the Derivative - d/dt	e^(4tsin(2t))	$e^{4 t \sin (2 t)}$
15782	Find the Derivative - d/dt	e^(kt)sin(bt)	$e^{k t} \sin (b t)$
15783	Find the Derivative - d/dt	sin(t^2+tan(t))^2	$\sin^{2} (t^{2} + \tan (t))$
15784	Find the Derivative - d/dt	t/((t-3)^2)	$\frac{t}{{(t - 3)}^{2}}$
15785	Find the Derivative - d/dt	t/10	$\frac{t}{10}$
15786	Find the Derivative - d/dt	t^(2/3)	$t^{\frac{2}{3}}$
15787	Find the Derivative - d/dt	t/(7+t^2)	$\frac{t}{7 + t^{2}}$
15788	Find the Derivative - d/dt	t^(1/2)	$t^{\frac{1}{2}}$
15789	Find the Derivative - d/dt	t^(-1/2)	$t^{- \frac{1}{2}}$
15790	Find the Derivative - d/dt	t^(4/3)	$t^{\frac{4}{3}}$
15791	Find the Derivative - d/dt	(sin(t))/(1-cos(t))	$\frac{\sin (t)}{1 - \cos (t)}$
15792	Find the Derivative - d/dt	sec(2t)^2	$\sec^{2} (2 t)$
15793	Find the Derivative - d/dt	natural log of (t^4-t)^7	$\ln ({(t^{4} - t)}^{7})$
15794	Find the Derivative - d/dt	sec(pit)^2	$\sec^{2} (π t)$
15795	Find the Derivative - d/dt	square root of 2t^2-t	$\sqrt{2 t^{2} - t}$
15796	Find the Derivative - d/dt	te^(2t)	$t e^{2 t}$
15797	Find the Derivative - d/dt	te^(-2t)	$t e^{- 2 t}$
15798	Find the Derivative - d/dt	square root of 1+t^2	$\sqrt{1 + t^{2}}$
15799	Find the Derivative - d/dt	t^8e^t	$t^{8} e^{t}$
15800	Find the Derivative - d/dt	t^9sin(t)	$t^{9} \sin (t)$