Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
41101	Find the Derivative - d/d@VAR	g(x)=3(4-8x)^4	$g (x) = 3 {(4 - 8 x)}^{4}$
41102	Find the Derivative - d/d@VAR	g(x) = cube root of x*5	$g (x) = \sqrt[3]{x} \cdot 5$
41103	Find the Derivative - d/d@VAR	g(x) = fourth root of x^5+7x	$g (x) = \sqrt[4]{x^{5} + 7 x}$
41104	Find the Derivative - d/d@VAR	g(x)=x/(cos(x))	$g (x) = \frac{x}{\cos (x)}$
41105	Find the Derivative - d/d@VAR	g(x)=x^(5/2)	$g (x) = x^{\frac{5}{2}}$
41106	Find the Derivative - d/d@VAR	g(x)=x^(7/3)	$g (x) = x^{\frac{7}{3}}$
41107	Find the Derivative - d/d@VAR	g(x)=x^(9/4)	$g (x) = x^{\frac{9}{4}}$
41108	Find the Derivative - d/d@VAR	g(x)=x^(-9/5)	$g (x) = x^{- \frac{9}{5}}$
41109	Find the Derivative - d/d@VAR	g(x)=x^(-9/7)	$g (x) = x^{- \frac{9}{7}}$
41110	Find the Derivative - d/d@VAR	g(x)=x^2(1-9x)	$g (x) = x^{2} (1 - 9 x)$
41111	Find the Derivative - d/d@VAR	g(x)=x^2 log base 3 of square root of x-1	$g (x) = x^{2} \log_{3} (\sqrt{x - 1})$
41112	Find the Derivative - d/d@VAR	g(x)=x^2+2	$g (x) = x^{2} + 2$
41113	Find the Derivative - d/d@VAR	g(x)=x^3(7.2)^x	$g (x) = x^{3} {(7.2)}^{x}$
41114	Find the Derivative - d/d@VAR	g(x)=x^3sin(5x)^2	$g (x) = x^{3} \sin^{2} (5 x)$
41115	Find the Derivative - d/d@VAR	g(x)=x^3+(4.8)^x	$g (x) = x^{3} + {(4.8)}^{x}$
41116	Find the Derivative - d/d@VAR	g(x)=x^3-12x+8	$g (x) = x^{3} - 12 x + 8$
41117	Find the Derivative - d/d@VAR	g(x)=x^3-4x^2-16x-4	$g (x) = x^{3} - 4 x^{2} - 16 x - 4$
41118	Find the Derivative - d/d@VAR	G(x)=x^3-5x^2-8x+5	$G (x) = x^{3} - 5 x^{2} - 8 x + 5$
41119	Find the Derivative - d/d@VAR	g(x)=x^4(2x-1)^10	$g (x) = x^{4} {(2 x - 1)}^{10}$
41120	Find the Derivative - d/d@VAR	G(x)=x^4e^x-6	$G (x) = x^{4} e^{x} - 6$
41121	Find the Derivative - d/d@VAR	g(x)=x^4-4x^2	$g (x) = x^{4} - 4 x^{2}$
41122	Find the Derivative - d/d@VAR	g(x)=x^(5tan(x))	$g (x) = x^{5 \tan (x)}$
41123	Find the Derivative - d/d@VAR	g(x)=x^6(1.8)^x	$g (x) = x^{6} {(1.8)}^{x}$
41124	Find the Derivative - d/d@VAR	g(x)=x^6(5.2)^x	$g (x) = x^{6} {(5.2)}^{x}$
41125	Find the Derivative - d/d@VAR	g(x)=x^6(9.5)^x	$g (x) = x^{6} {(9.5)}^{x}$
41126	Find the Derivative - d/d@VAR	g(x)=x^7(1.9)^x	$g (x) = x^{7} {(1.9)}^{x}$
41127	Find the Derivative - d/d@VAR	g(x)=x^8(5.4)^x	$g (x) = x^{8} {(5.4)}^{x}$
41128	Find the Derivative - d/d@VAR	g(x)=-1	$g (x) = - 1$
41129	Find the Derivative - d/d@VAR	g(x)=7xe^(8x)	$g (x) = 7 x e^{8 x}$
41130	Find the Derivative - d/d@VAR	g(x)=-7sin(x)+2tan(x)	$g (x) = - 7 \sin (x) + 2 \tan (x)$
41131	Find the Derivative - d/d@VAR	g(x)=7x-x^2	$g (x) = 7 x - x^{2}$
41132	Find the Derivative - d/d@VAR	g(x)=8x^3-12x^2+4x-6	$g (x) = 8 x^{3} - 12 x^{2} + 4 x - 6$
41133	Find the Derivative - d/d@VAR	g(x)=8x^3-3	$g (x) = 8 x^{3} - 3$
41134	Find the Derivative - d/d@VAR	g(x)=9e^( square root of x)	$g (x) = 9 e^{\sqrt{x}}$
41135	Find the Derivative - d/d@VAR	g(x)=-9x^3+28x^2+8x-57	$g (x) = - 9 x^{3} + 28 x^{2} + 8 x - 57$
41136	Find the Derivative - d/d@VAR	g(x)=9x^5(x^4-5)	$g (x) = 9 x^{5} (x^{4} - 5)$
41137	Find the Derivative - d/d@VAR	G(x)=4x^3(x^2-7)	$G (x) = 4 x^{3} (x^{2} - 7)$
41138	Find the Derivative - d/d@VAR	g(x)=4xe^(3x)	$g (x) = 4 x e^{3 x}$
41139	Find the Derivative - d/d@VAR	g(x)=4x-tan(x)	$g (x) = 4 x - \tan (x)$
41140	Find the Derivative - d/d@VAR	g(x)=5 square root of x^3+7x	$g (x) = 5 \sqrt{x^{3} + 7 x}$
41141	Find the Derivative - d/d@VAR	g(x)=5 square root of x	$g (x) = 5 \sqrt{x}$
41142	Find the Derivative - d/d@VAR	g(x)=5 square root of x-4e^x	$g (x) = 5 \sqrt{x} - 4 e^{x}$
41143	Find the Derivative - d/d@VAR	g(x)=5x^5(x^4-5)	$g (x) = 5 x^{5} (x^{4} - 5)$
41144	Find the Derivative - d/d@VAR	g(x)=5xe^(7x)	$g (x) = 5 x e^{7 x}$
41145	Find the Derivative - d/d@VAR	g(x)=5tan(3x)	$g (x) = 5 \tan (3 x)$
41146	Find the Derivative - d/d@VAR	g(x)=6.8	$g (x) = 6.8$
41147	Find the Derivative - d/d@VAR	g(x)=6+x+2e^x	$g (x) = 6 + x + 2 e^{x}$
41148	Find the Derivative - d/d@VAR	G(x)=7e^(-2x)(0,7)	$G (x) = 7 e^{- 2 x} (0, 7)$
41149	Find the Derivative - d/d@VAR	g(x)=arccos(s)(bx)	$g (x) = \arccos (s) (b x)$
41150	Find the Derivative - d/d@VAR	g(x)=cos((2pi)/3x)	$g (x) = \cos (\frac{2 π}{3} x)$
41151	Find the Derivative - d/d@VAR	g(x)=cos(2x)+2sin(x)	$g (x) = \cos (2 x) + 2 \sin (x)$
41152	Find the Derivative - d/d@VAR	g(x)=cos(-7x^3-2x^2+2)	$g (x) = \cos (- 7 x^{3} - 2 x^{2} + 2)$
41153	Find the Derivative - d/d@VAR	g(x)=csc(x)cot(x)	$g (x) = \csc (x) \cot (x)$
41154	Find the Derivative - d/d@VAR	g(x)=f(x)+h(x)	$g (x) = f (x) + h (x)$
41155	Find the Derivative - d/d@VAR	g(x) = natural log of 2x( natural log of 7x)	$g (x) = \ln (2 x) (\ln (7 x))$
41156	Find the Derivative - d/d@VAR	g(x) = natural log of \|7x-4\|	$g (x) = \ln (\| 7 x - 4 \|)$
41157	Find the Derivative - d/d@VAR	g(x) = natural log of 2x^3-coxx	$g (x) = \ln (2 x^{3} - c o x x)$
41158	Find the Derivative - d/d@VAR	g(x) = natural log of 3x	$g (x) = \ln (3 x)$
41159	Find the Derivative - d/d@VAR	g(x) = natural log of natural log of 2x	$g (x) = \ln (\ln (2 x))$
41160	Find the Derivative - d/d@VAR	g(x) = natural log of sec(2x)+tan(2x)	$g (x) = \ln (\sec (2 x) + \tan (2 x))$
41161	Find the Derivative - d/d@VAR	g(x)=sec(2x+1)	$g (x) = \sec (2 x + 1)$
41162	Find the Derivative - d/d@VAR	g(x)=sin(x)+cos(x)	$g (x) = \sin (x) + \cos (x)$
41163	Find the Derivative - d/d@VAR	g(x)=sin(x)+sin(x)	$g (x) = \sin (x) + \sin (x)$
41164	Find the Derivative - d/d@VAR	g(x)=sin(2x)+4	$g (x) = \sin (2 x) + 4$
41165	Find the Derivative - d/d@VAR	g(x)=sin(3)	$g (x) = \sin (3)$
41166	Find the Derivative - d/d@VAR	g(x)=tan(x)+3cot(x)	$g (x) = \tan (x) + 3 \cot (x)$
41167	Find the Derivative - d/d@VAR	g(x)=x-1/x	$g (x) = x - \frac{1}{x}$
41168	Find the Derivative - d/d@VAR	g(x)=x-8/(x^2)	$g (x) = x - \frac{8}{x^{2}}$
41169	Find the Derivative - d/d@VAR	g(x)=xcos(x)-sin(x)	$g (x) = x \cos (x) - \sin (x)$
41170	Find the Derivative - d/d@VAR	g(x)=x natural log of x-x	$g (x) = x \ln (x) - x$
41171	Find the Derivative - d/d@VAR	g(x)=x log of 2x	$g (x) = x \log (2) x$
41172	Find the Derivative - d/d@VAR	g(x)=xsin(1/x)	$g (x) = x \sin (\frac{1}{x})$
41173	Find the Derivative - d/d@VAR	g(y)=(3y^4-y^2)(y^2-4)	$g (y) = (3 y^{4} - y^{2}) (y^{2} - 4)$
41174	Find the Derivative - d/d@VAR	G(y)=((y^2)/(2y-1))^3	$G (y) = {(\frac{y^{2}}{2 y - 1})}^{3}$
41175	Find the Derivative - d/d@VAR	g(y)=((y-1)^3)/((y^2+2y)^4)	$g (y) = \frac{{(y - 1)}^{3}}{{(y^{2} + 2 y)}^{4}}$
41176	Find the Derivative - d/d@VAR	G(y)=((y-2)^4)/((y^2+4y)^6)	$G (y) = \frac{{(y - 2)}^{4}}{{(y^{2} + 4 y)}^{6}}$
41177	Find the Derivative - d/d@VAR	g(y)=((y-2)^4)/((y^2+4y)^9)	$g (y) = \frac{{(y - 2)}^{4}}{{(y^{2} + 4 y)}^{9}}$
41178	Find the Derivative - d/d@VAR	g(y)=((y-2)^5)/((y^2+4y)^6)	$g (y) = \frac{{(y - 2)}^{5}}{{(y^{2} + 4 y)}^{6}}$
41179	Find the Derivative - d/d@VAR	R(a)=(4a+1)^2	$R (a) = {(4 a + 1)}^{2}$
41180	Find the Derivative - d/d@VAR	R(a)=(7a+1)^2	$R (a) = {(7 a + 1)}^{2}$
41181	Find the Derivative - d/d@VAR	R(M)=M^2*(c/2)-(M/3)	$R (M) = M^{2} \cdot (\frac{c}{2}) - (\frac{M}{3})$
41182	Find the Derivative - d/d@VAR	R(p)=-2/3p^2+40p	$R (p) = - \frac{2}{3} p^{2} + 40 p$
41183	Find the Derivative - d/d@VAR	R(q)=(4q^3)/3*(36q^2)+20q+C	$R (q) = \frac{4 q^{3}}{3} \cdot (36 q^{2}) + 20 q + C$
41184	Find the Derivative - d/d@VAR	R(q)=(53q)/( natural log of q)-104	$R (q) = \frac{53 q}{\ln (q)} - 104$
41185	Find the Derivative - d/d@VAR	R(q)=230+72q-4q^2	$R (q) = 230 + 72 q - 4 q^{2}$
41186	Find the Derivative - d/d@VAR	R(q)=q(90-1/100q)	$R (q) = q (90 - \frac{1}{100} q)$
41187	Find the Derivative - d/d@VAR	r(s)=(4s+s^0.4)^-1	$r (s) = {(4 s + s^{0.4})}^{- 1}$
41188	Find the Derivative - d/d@VAR	r(t)=(t^2-t)(4-t)	$r (t) = (t^{2} - t) (4 - t)$
41189	Find the Derivative - d/d@VAR	r(t)=(9t,1/2t^2,t^2)	$r (t) = (9 t, \frac{1}{2} t^{2}, t^{2})$
41190	Find the Derivative - d/d@VAR	r(t)=(t+e^t)(2- square root of t)	$r (t) = (t + e^{t}) (2 - \sqrt{t})$
41191	Find the Derivative - d/d@VAR	R(t)=-0.5t^2	$R (t) = - 0.5 t^{2}$
41192	Find the Derivative - d/d@VAR	r(t)=0.99 Rmax	$r (t) = 0.99$ Rmax
41193	Find the Derivative - d/d@VAR	r(t)=((5t-6)^4)/(3t^2+4)	$r (t) = \frac{{(5 t - 6)}^{4}}{3 t^{2} + 4}$
41194	Find the Derivative - d/d@VAR	r(t)=1/t*i+ natural log of tj+e^(2t)k	$r (t) = \frac{1}{t} \cdot i + \ln (t) j + e^{2 t} k$
41195	Find the Derivative - d/d@VAR	r(t)=(32t)/(t^2+256)	$r (t) = \frac{32 t}{t^{2} + 256}$
41196	Find the Derivative - d/d@VAR	r(t)=e^(5t)i+e^(5t)cos(t)j+e^(5t)sin(t)k	$r (t) = e^{5 t} i + e^{5 t} \cos (t) j + e^{5 t} \sin (t) k$
41197	Find the Derivative - d/d@VAR	r(t) = log base 6 of t+ square root of t	$r (t) = \log_{6} (t + \sqrt{t})$
41198	Find the Derivative - d/d@VAR	r(t)=t^2i+(1-t)j+(2/3)t^3*k	$r (t) = t^{2} \cdot i + (1 - t) \cdot j + (\frac{2}{3}) t^{3} \cdot k$
41199	Find the Derivative - d/d@VAR	r(t)=-0.2t^3+1.44t^2+1.26t+3.7	$r (t) = - 0.2 t^{3} + 1.44 t^{2} + 1.26 t + 3.7$
41200	Find the Derivative - d/d@VAR	r(t)=110-(6t(ft^3))/min	$r (t) = 110 - \frac{6 t ({ft}^{3})}{mi n}$