Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
41201	Find the Derivative - d/d@VAR	r(t)=2t-sin(2t)i+cos(2t)j-k	$r (t) = 2 t - \sin (2 t) i + \cos (2 t) j - k$
41202	Find the Derivative - d/d@VAR	R(t)=40t-3t	$R (t) = 40 t - 3 t$
41203	Find the Derivative - d/d@VAR	r(t)=-6t(5x^4-1)^4	$r (t) = - 6 t {(5 x^{4} - 1)}^{4}$
41204	Find the Derivative - d/d@VAR	r(t)=ti+(t^2+1)j	$r (t) = t i + (t^{2} + 1) j$
41205	Find the Derivative - d/d@VAR	R(v)=6600/v	$R (v) = \frac{6600}{v}$
41206	Find the Derivative - d/d@VAR	r(w)=(3w+1)/(3w-1)	$r (w) = \frac{3 w + 1}{3 w - 1}$
41207	Find the Derivative - d/d@VAR	R(X)=10X+2X^2	$R (X) = 10 X + 2 X^{2}$
41208	Find the Derivative - d/d@VAR	R(x)=-0.3x^2+15x	$R (x) = - 0.3 x^{2} + 15 x$
41209	Find the Derivative - d/d@VAR	r(x)=30(10^3)-120*10^2+500	$r (x) = 30 (10^{3}) - 120 \cdot 10^{2} + 500$
41210	Find the Derivative - d/d@VAR	R(x)=3x-0.01x^2	$R (x) = 3 x - 0.01 x^{2}$
41211	Find the Derivative - d/d@VAR	r(x)=8.2x^2+23.1x-145	$r (x) = 8.2 x^{2} + 23.1 x - 145$
41212	Find the Derivative - d/d@VAR	R(x)=(25+x)(380-10x)	$R (x) = (25 + x) (380 - 10 x)$
41213	Find the Derivative - d/d@VAR	r(x)=(40,0+10,0/5x),(30-x)+(40,0+10,0/5x),(5.00)	$r (x) = (40, 0 + 10, \frac{0}{5} x) (30 - x) + (40, 0 + 10, \frac{0}{5} x) (5)$
41214	Find the Derivative - d/d@VAR	r(x)=(40,0+10,0/6x),(30-x)+(40,0+10,0/6x),(9.00)	$r (x) = (40, 0 + 10, \frac{0}{6} x) (30 - x) + (40, 0 + 10, \frac{0}{6} x) (9)$
41215	Find the Derivative - d/d@VAR	R(x)=(40000+10000/4x)(24-x)+(40000+10000/4x)(4.00)	$R (x) = (40000 + \frac{10000}{4} x) (24 - x) + (40000 + \frac{10000}{4} x) (4)$
41216	Find the Derivative - d/d@VAR	p(y)=((6x-1)/(9x+4))	$p (y) = (\frac{6 x - 1}{9 x + 4})$
41217	Find the Derivative - d/d@VAR	p(y)=(y^-1+y^-2)(4y^-3-5y^-4)	$p (y) = (y^{- 1} + y^{- 2}) (4 y^{- 3} - 5 y^{- 4})$
41218	Find the Derivative - d/d@VAR	p(y)=(y^-1+y^-2)(5y^-3-9y^-4)	$p (y) = (y^{- 1} + y^{- 2}) (5 y^{- 3} - 9 y^{- 4})$
41219	Find the Derivative - d/d@VAR	p(y)=(y^-1+y^-2)(6y^-3-9y^-4)	$p (y) = (y^{- 1} + y^{- 2}) (6 y^{- 3} - 9 y^{- 4})$
41220	Find the Derivative - d/d@VAR	p(y)=(y^-1+y^-2)(8y^-3-9y^-4)	$p (y) = (y^{- 1} + y^{- 2}) (8 y^{- 3} - 9 y^{- 4})$
41221	Find the Derivative - d/d@VAR	Q(t)=120(1-e^(-0.05t))+60	$Q (t) = 120 (1 - e^{- 0.05 t}) + 60$
41222	Find the Derivative - d/d@VAR	q(p)=(p+1)/(p-1)	$q (p) = \frac{p + 1}{p - 1}$
41223	Find the Derivative - d/d@VAR	q(p)=150-0.5p	$q (p) = 150 - 0.5 p$
41224	Find the Derivative - d/d@VAR	Q(r)=(r^2+1)(r^3-r)(3r^4+2r-1)	$Q (r) = (r^{2} + 1) (r^{3} - r) (3 r^{4} + 2 r - 1)$
41225	Find the Derivative - d/d@VAR	Q(t)=(t^2-6t+3)e^t	$Q (t) = (t^{2} - 6 t + 3) e^{t}$
41226	Find the Derivative - d/d@VAR	q(t)=e^(-2t)(3cos(7t))-sin(7t)	$q (t) = e^{- 2 t} (3 \cos (7 t)) - \sin (7 t)$
41227	Find the Derivative - d/d@VAR	q(t)=(5t)/(t^2-5t-3)	$q (t) = \frac{5 t}{t^{2} - 5 t - 3}$
41228	Find the Derivative - d/d@VAR	q(t)=e^(2-7t^2)	$q (t) = e^{2 - 7 t^{2}}$
41229	Find the Derivative - d/d@VAR	Q(t)=-t^3+4t^2+30t	$Q (t) = - t^{3} + 4 t^{2} + 30 t$
41230	Find the Derivative - d/d@VAR	Q(t)=-2t^3+4t^2+10t	$Q (t) = - 2 t^{3} + 4 t^{2} + 10 t$
41231	Find the Derivative - d/d@VAR	q(t)=20(e^(-t)-e^(-2t))	$q (t) = 20 (e^{- t} - e^{- 2 t})$
41232	Find the Derivative - d/d@VAR	Q(t)=30e^(-0.0533t)	$Q (t) = 30 e^{- 0.0533 t}$
41233	Find the Derivative - d/d@VAR	q(t)=sec(5t)	$q (t) = \sec (5 t)$
41234	Find the Derivative - d/d@VAR	q(x)=(x^-2-x^-3)(3x^-1+4x^-4)	$q (x) = (x^{- 2} - x^{- 3}) (3 x^{- 1} + 4 x^{- 4})$
41235	Find the Derivative - d/d@VAR	q(x)=(895+ square root of 10)	$q (x) = (895 + \sqrt{10})$
41236	Find the Derivative - d/d@VAR	q(x)=(895+ square root of 10)/x	$q (x) = \frac{895 + \sqrt{10}}{x}$
41237	Find the Derivative - d/d@VAR	Q(x)=(F(x))/(G(x))	$Q (x) = \frac{F (x)}{G (x)}$
41238	Find the Derivative - d/d@VAR	q(x)=x^2*2^x	$q (x) = x^{2} \cdot 2^{x}$
41239	Find the Derivative - d/d@VAR	q(x)=190e^(-0.005x)	$q (x) = 190 e^{- 0.005 x}$
41240	Find the Derivative - d/d@VAR	q(x)=210e^(-0.003x)	$q (x) = 210 e^{- 0.003 x}$
41241	Find the Derivative - d/d@VAR	q(x)=310e^(-0.003x)	$q (x) = 310 e^{- 0.003 x}$
41242	Find the Derivative - d/d@VAR	q(x)=310e^(-0.007x)	$q (x) = 310 e^{- 0.007 x}$
41243	Find the Derivative - d/d@VAR	q(x)=310e^-0.007	$q (x) = 310 e^{- 0.007}$
41244	Find the Derivative - d/d@VAR	q(x)=8( square root of (5(sin(x)))/3)-( cube root of 5cos(x))/7	$q (x) = 8 (\sqrt{\frac{5 (\sin (x))}{3}}) - \frac{\sqrt[3]{5 \cos (x)}}{7}$
41245	Find the Derivative - d/d@VAR	q(x)=sin(x)sec(2x)	$q (x) = \sin (x) \sec (2 x)$
41246	Find the Derivative - d/d@VAR	p(x)=15-x	$p (x) = 15 - x$
41247	Find the Derivative - d/d@VAR	p(x)=16x^3+17/( square root of x)-10x^3.1416+p^2	$p (x) = 16 x^{3} + \frac{17}{\sqrt{x}} - 10 x^{3.1416} + p^{2}$
41248	Find the Derivative - d/d@VAR	p(x)=167-x/10	$p (x) = 167 - \frac{x}{10}$
41249	Find the Derivative - d/d@VAR	p(x)=-2(x-5)(x+8)(7x-3)	$p (x) = - 2 (x - 5) (x + 8) (7 x - 3)$
41250	Find the Derivative - d/d@VAR	P(x)=2 sixth root of 250	$P (x) = 2 \sqrt[6]{250}$
41251	Find the Derivative - d/d@VAR	p(x)=2x^4-3x^3-2x^2+4	$p (x) = 2 x^{4} - 3 x^{3} - 2 x^{2} + 4$
41252	Find the Derivative - d/d@VAR	P(x)=2x^5-3x^4-5x^2-2	$P (x) = 2 x^{5} - 3 x^{4} - 5 x^{2} - 2$
41253	Find the Derivative - d/d@VAR	p(x)=2000x-300x natural log of 1000x	$p (x) = 2000 x - 300 x \ln (1000 x)$
41254	Find the Derivative - d/d@VAR	p(x)=29.92e^(-0.2*18)	$p (x) = 29.92 e^{- 0.2 \cdot 18}$
41255	Find the Derivative - d/d@VAR	p(x)=2l+2(256/l)	$p (x) = 2 l + 2 (\frac{256}{l})$
41256	Find the Derivative - d/dx	pi(x)=3sin(2x-pi/3)	$π (x) = 3 \sin (2 x - \frac{π}{3})$
41257	Find the Derivative - d/d@VAR	p(x)=3x^3-5x^2-8x-2	$p (x) = 3 x^{3} - 5 x^{2} - 8 x - 2$
41258	Find the Derivative - d/d@VAR	p(x)=30 natural log of 2x+1 , x=60	$p (x) = 30 \ln (2 x + 1)$ , $x = 60$
41259	Find the Derivative - d/d@VAR	P(x)=30x-0.3x^2-250	$P (x) = 30 x - 0.3 x^{2} - 250$
41260	Find the Derivative - d/d@VAR	P(x)=-0.1x^2+100x-60	$P (x) = - 0.1 x^{2} + 100 x - 60$
41261	Find the Derivative - d/d@VAR	p(x)=0.25x^2+40x-1000	$p (x) = 0.25 x^{2} + 40 x - 1000$
41262	Find the Derivative - d/d@VAR	p(x)=0.45t^2-12t+105	$p (x) = 0.45 t^{2} - 12 t + 105$
41263	Find the Derivative - d/d@VAR	p(x)=-0.5x^2+45x-30	$p (x) = - 0.5 x^{2} + 45 x - 30$
41264	Find the Derivative - d/d@VAR	p(x)=100e^(-0.02*50)	$p (x) = 100 e^{- 0.02 \cdot 50}$
41265	Find the Derivative - d/d@VAR	p(x)=100e^(-0.0001x)	$p (x) = 100 e^{- 0.0001 x}$
41266	Find the Derivative - d/d@VAR	P(x)=1012e^(-0.0001346*11000)	$P (x) = 1012 e^{- 0.0001346 \cdot 11000}$
41267	Find the Derivative - d/d@VAR	p(x)=104-x/34	$p (x) = 104 - \frac{x}{34}$
41268	Find the Derivative - d/d@VAR	P(x)=10x-0.05x^2	$P (x) = 10 x - 0.05 x^{2}$
41269	Find the Derivative - d/d@VAR	P(x)=1100 square root of x^2-0.1x-1600(x^2+2)^(1/3)+700	$P (x) = 1100 \sqrt{x^{2} - 0.1 x} - 1600 {(x^{2} + 2)}^{\frac{1}{3}} + 700$
41270	Find the Derivative - d/d@VAR	p(x)=119-x/32	$p (x) = 119 - \frac{x}{32}$
41271	Find the Derivative - d/d@VAR	p(x)=120-(x^2)/10	$p (x) = 120 - \frac{x^{2}}{10}$
41272	Find the Derivative - d/d@VAR	p(x)=12x-0.2x^2	$p (x) = 12 x - 0.2 x^{2}$
41273	Find the Derivative - d/d@VAR	p(x)=13.6(1+ natural log of x)	$p (x) = 13.6 (1 + \ln (x))$
41274	Find the Derivative - d/d@VAR	p(x)=13x+ natural log of 3x^2+4	$p (x) = 13 x + \ln (3 x^{2} + 4)$
41275	Find the Derivative - d/d@VAR	P(x)=1500e^(-0.4x)	$P (x) = 1500 e^{- 0.4 x}$
41276	Find the Derivative - d/d@VAR	h(x)=x+ square root of x	$h (x) = x + \sqrt{x}$
41277	Find the Derivative - d/d@VAR	h(x)=x-7	$h (x) = x - 7$
41278	Find the Derivative - d/d@VAR	h(x)=x natural log of arcsin(x)	$h (x) = x \ln (\arcsin (x))$
41279	Find the Derivative - d/d@VAR	h(x)=xtan(2 square root of x)+7	$h (x) = x \tan (2 \sqrt{x}) + 7$
41280	Find the Derivative - d/d@VAR	h(x)=xtan(8 square root of x)+8	$h (x) = x \tan (8 \sqrt{x}) + 8$
41281	Find the Derivative - d/d@VAR	h(y)=(cos(y))/(1-sin(y))	$h (y) = \frac{\cos (y)}{1 - \sin (y)}$
41282	Find the Derivative - d/d@VAR	h(y)=y^-4-9y+8y^-2+12	$h (y) = y^{- 4} - 9 y + 8 y^{- 2} + 12$
41283	Find the Derivative - d/d@VAR	h(z)=(5z^2+3z-1)^3	$h (z) = {(5 z^{2} + 3 z - 1)}^{3}$
41284	Find the Derivative - d/d@VAR	h(z)=z^( natural log of 7)+ natural log of 8	$h (z) = z^{\ln (7)} + \ln (8)$
41285	Find the Derivative - d/d@VAR	h(z)=(5z^2-3z+4)^4	$h (z) = {(5 z^{2} - 3 z + 4)}^{4}$
41286	Find the Derivative - d/d@VAR	h(z)=1/( cube root of 5+3z)	$h (z) = \frac{1}{\sqrt[3]{5 + 3 z}}$
41287	Find the Derivative - d/d@VAR	h(z)=(1-2z)/(z^2-z-6)	$h (z) = \frac{1 - 2 z}{z^{2} - z - 6}$
41288	Find the Derivative - d/d@VAR	H(z)=(8z-z-3z^2)/(2+9z)	$H (z) = \frac{8 z - z - 3 z^{2}}{2 + 9 z}$
41289	Find the Derivative - d/d@VAR	J(v)=(v^3-2v)(v^-4+v^-2)	$J (v) = (v^{3} - 2 v) (v^{- 4} + v^{- 2})$
41290	Find the Derivative - d/d@VAR	j(x)=(2x)/(x^2+1)	$j (x) = \frac{2 x}{x^{2} + 1}$
41291	Find the Derivative - d/d@VAR	j(x)=cx^(a+b)+5	$j (x) = c x^{a + b} + 5$
41292	Find the Derivative - d/d@VAR	j(x)=x^(sin(x))	$j (x) = x^{\sin (x)}$
41293	Find the Derivative - d/d@VAR	j(x)=4(1.9)^x-e	$j (x) = 4 {(1.9)}^{x} - e$
41294	Find the Derivative - d/d@VAR	j(x) = natural log of e^(ax)+b	$j (x) = \ln (e^{a x} + b)$
41295	Find the Derivative - d/d@VAR	k(r)=(e^x)/(1-e^x)	$k (r) = \frac{e^{x}}{1 - e^{x}}$
41296	Find the Derivative - d/d@VAR	k(r)=e^r+r^e	$k (r) = e^{r} + r^{e}$
41297	Find the Derivative - d/d@VAR	k(r)=3e^r+4r^e	$k (r) = 3 e^{r} + 4 r^{e}$
41298	Find the Derivative - d/d@VAR	k(t)=(t^2-5)^2	$k (t) = {(t^{2} - 5)}^{2}$
41299	Find the Derivative - d/d@VAR	k(t)=(t^2-6)^2	$k (t) = {(t^{2} - 6)}^{2}$
41300	Find the Derivative - d/d@VAR	k(t)=(t^2-7)^2	$k (t) = {(t^{2} - 7)}^{2}$