Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
43101	Find the Derivative - d/d@VAR	f(x)=15x^3	$f (x) = 15 x^{3}$
43102	Find the Derivative - d/d@VAR	f(x)=15x^3-x^5	$f (x) = 15 x^{3} - x^{5}$
43103	Find the Derivative - d/d@VAR	f(x)=-15x^4+100x^3+720x^2-45	$f (x) = - 15 x^{4} + 100 x^{3} + 720 x^{2} - 45$
43104	Find the Derivative - d/d@VAR	f(x)=-15x^4+15x^2	$f (x) = - 15 x^{4} + 15 x^{2}$
43105	Find the Derivative - d/d@VAR	f(x)=15xe^x	$f (x) = 15 x e^{x}$
43106	Find the Derivative - d/d@VAR	f(x)=15+0.400x+0.750x^2	$f (x) = 15 + 0.4 x + 0.75 x^{2}$
43107	Find the Derivative - d/d@VAR	f(x)=15+2e^(7x)	$f (x) = 15 + 2 e^{7 x}$
43108	Find the Derivative - d/d@VAR	f(x)=150x^2-25x^3	$f (x) = 150 x^{2} - 25 x^{3}$
43109	Find the Derivative - d/d@VAR	f(x)=15000+70(100)+1000/100	$f (x) = 15000 + 70 (100) + \frac{1000}{100}$
43110	Find the Derivative - d/d@VAR	f(x)=-150000x^-2	$f (x) = - 150000 x^{- 2}$
43111	Find the Derivative - d/d@VAR	f(x)=150-90e^(-0.3t)	$f (x) = 150 - 90 e^{- 0.3 t}$
43112	Find the Derivative - d/d@VAR	f(x)=153-x/10	$f (x) = 153 - \frac{x}{10}$
43113	Find the Derivative - d/d@VAR	f(x)=15 natural log of x	$f (x) = 15 \ln (x)$
43114	Find the Derivative - d/d@VAR	f(x)=15-sin(x)	$f (x) = 15 - \sin (x)$
43115	Find the Derivative - d/d@VAR	f(x)=15x+ natural log of 15x	$f (x) = 15 x + \ln (15 x)$
43116	Find the Derivative - d/d@VAR	f(x)=16(3.5^2)+112(3.5)+70	$f (x) = 16 ({3.5}^{2}) + 112 (3.5) + 70$
43117	Find the Derivative - d/d@VAR	f(x)=16 square root of i	$f (x) = 16 \sqrt{i}$
43118	Find the Derivative - d/d@VAR	f(x)=16x^(1/4)	$f (x) = 16 x^{\frac{1}{4}}$
43119	Find the Derivative - d/d@VAR	f(x)=12x(2x^2-3)^2	$f (x) = 12 x {(2 x^{2} - 3)}^{2}$
43120	Find the Derivative - d/d@VAR	f(x)=12x-x^2-3/( square root of x^2)	$f (x) = 12 x - x^{2} - \frac{3}{\sqrt{x^{2}}}$
43121	Find the Derivative - d/d@VAR	f(x)=12x+x^2-x^3	$f (x) = 12 x + x^{2} - x^{3}$
43122	Find the Derivative - d/d@VAR	f(x)=1-2x+4*( square root of 0.25+x^2)	$f (x) = 1 - 2 x + 4 \cdot (\sqrt{0.25 + x^{2}})$
43123	Find the Derivative - d/d@VAR	f(x)=13 , 0e^(0.1t)	$f (x) = 13$ , $0 e^{0.1 t}$
43124	Find the Derivative - d/d@VAR	f(x)=13 log base 2 of 3x^2	$f (x) = 13 \log_{2} (3 x^{2})$
43125	Find the Derivative - d/d@VAR	f(x)=13 square root of x	$f (x) = 13 \sqrt{x}$
43126	Find the Derivative - d/d@VAR	f(x)=13 square root of xsin(x)	$f (x) = 13 \sqrt{x} \sin (x)$
43127	Find the Derivative - d/d@VAR	f(x)=13x^12-12x^11+6x^5	$f (x) = 13 x^{12} - 12 x^{11} + 6 x^{5}$
43128	Find the Derivative - d/d@VAR	f(x)=1-3x^2-5x^2[-2,2]	$f (x) = 1 - 3 x^{2} - 5 x^{2} [- 2, 2]$
43129	Find the Derivative - d/d@VAR	f(x)=13x^3-(x^4)/7	$f (x) = 13 x^{3} - \frac{x^{4}}{7}$
43130	Find the Derivative - d/d@VAR	f(x)=13x^4-6x^3+x-7	$f (x) = 13 x^{4} - 6 x^{3} + x - 7$
43131	Find the Derivative - d/d@VAR	f(x)=130-0.3x^2	$f (x) = 130 - 0.3 x^{2}$
43132	Find the Derivative - d/d@VAR	f(x)=13sin(x)-cos(x)	$f (x) = 13 \sin (x) - \cos (x)$
43133	Find the Derivative - d/d@VAR	f(x)=1-3x	$f (x) = 1 - 3 x$
43134	Find the Derivative - d/d@VAR	f(x)=13x+13e^x	$f (x) = 13 x + 13 e^{x}$
43135	Evaluate	e^negative infinity	$e^{- \infty}$
43136	Evaluate	1/infinity	$\frac{1}{\infty}$
43137	Evaluate the Integral	integral of ( natural log of x)/x with respect to x	$\int \frac{\ln (x)}{x} d x$
43138	Evaluate the Limit	limit as theta approaches 0 of (cos(theta)^2-1)/theta	$lim_{θ \to 0} \frac{\cos^{2} (θ) - 1}{θ}$
43139	Graph	y=f(x)	$y = f (x)$
43140	Find the Derivative - d/dL	natural log of natural log of x	$L n (\ln (x))$
43141	Find the Derivative - d/dx	log base 3 of x	$\log_{3} (x)$
43142	Find the Derivative - d/dx	square root of 2-x^2	$\sqrt{2 - x^{2}}$
43143	Find the Derivative - d/dt	e^(tan(theta))	$e^{t a N θ}$
43144	Find the Derivative - d/d@VAR	f(x)=x^2sin(x)	$f (x) = x^{2} \sin (x)$
43145	Evaluate the Limit	limit as x approaches infinity of cos(x)	$lim_{x \to \infty} \cos (x)$
43146	Find dy/dx	y=(cos(x))/(1+cos(x))	$y = \frac{\cos (x)}{1 + \cos (x)}$
43147	Find dy/dx	x=sec(y)	$x = \sec (y)$
43148	Evaluate the Limit	limit as x approaches infinity of sin(x)	$lim_{x \to \infty} \sin (x)$
43149	Find dA/dr	A=pir^2	$A = π r^{2}$
43150	Find dr/dA	A=pir^2	$A = π r^{2}$
43151	Find dy/dx	y=(sec(x))/(1+sec(x))	$y = \frac{\sec (x)}{1 + \sec (x)}$
43152	Solve for x	y = natural log of x	$y = \ln (x)$
43153	Find dy/dx	cos(xy)=5+sin(y)	$\cos (x y) = 5 + \sin (y)$
43154	Find dV/dh	V=pir^2h	$V = π r^{2} h$
43155	Find dV/dr	V=pir^2h	$V = π r^{2} h$
43156	Find dy/dx	cos(xy)=7+sin(y)	$\cos (x y) = 7 + \sin (y)$
43157	Find dh/dv	v=pir^2h	$v = π r^{2} h$
43158	Find dr/dV	V=pir^2h	$V = π r^{2} h$
43159	Find dh/dr	v=pir^2h	$v = π r^{2} h$
43160	Find dx/dy	cos(xy)=9+sin(y)	$\cos (x y) = 9 + \sin (y)$
43161	Find the Derivative of the Integral	y=cot(cos(theta))^2	$y = \cot^{2} (\cos (θ))$
43162	Find dx/dy	x=csc(y)	$x = \csc (y)$
43163	Find dy/dx	x=cot(y)	$x = \cot (y)$
43164	Find dx/dy	y-1=x^2-3y^3	$y - 1 = x^{2} - 3 y^{3}$
43165	Find dy/dx	x=sec(1/y)	$x = \sec (\frac{1}{y})$
43166	Find dy/dx	xsin(y)+ysin(x)=9	$x \sin (y) + y \sin (x) = 9$
43167	Find dy/dx	xsin(y)+ysin(x)=4	$x \sin (y) + y \sin (x) = 4$
43168	Find dx/dy	x=sec(1/y)	$x = \sec (\frac{1}{y})$
43169	Find dy/dx	tan(2x+y)=2x	$\tan (2 x + y) = 2 x$
43170	Find dy/dx	ycos(x)=2x^2+5y^2	$y \cos (x) = 2 x^{2} + 5 y^{2}$
43171	Simplify	(-e^(-t))^2	${(- e^{- t})}^{2}$
43172	Find dy/dx	ysin(y)=xy	$y \sin (y) = x y$
43173	Find dy/dx	e^(x^2y)=x+y	$e^{x^{2} y} = x + y$
43174	Solve for x	2/x+x/3=31/15	$\frac{2}{x} + \frac{x}{3} = \frac{31}{15}$
43175	Evaluate the Limit	limit as x approaches infinity of x^(1/x)	$lim_{x \to \infty} x^{\frac{1}{x}}$
43176	Find the Integral	square root of 36x	$\sqrt{36 x}$
43177	Find the Critical Points	f(x)=sin(x)^2+cos(x)	$f (x) = \sin^{2} (x) + \cos (x)$
43178	Find dy/dx	(x^2)/(x+y)=y^2+8	$\frac{x^{2}}{x + y} = y^{2} + 8$
43179	Solve for x	natural log of x-3+ natural log of x+1 = natural log of x+7	$\ln (x - 3) + \ln (x + 1) = \ln (x + 7)$
43180	Evaluate the Limit	limit as x approaches 0 from the right of natural log of x	$lim_{x \to 0} \ln (x)$
43181	Find the Second Derivative	h(theta)=thetacos(theta)	$h (θ) = θ \cos (θ)$
43182	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (x^3)/(e^(x^2))	$lim_{x \to \infty} \frac{x^{3}}{e^{x^{2}}}$
43183	Find dx/dy	xsin(y)+ysin(x)=1	$x \sin (y) + y \sin (x) = 1$
43184	Evaluate the Limit	limit as x approaches 0 of 10x-4	$lim_{x \to 0} 10 x - 4$
43185	Evaluate the Limit	limit as x approaches 2 from the left of f(x)	$lim_{x \to 2} f (x)$
43186	Evaluate the Limit	limit as h approaches 0 of (cos(pi+h)+1)/h	$lim_{h \to 0} \frac{\cos (π + h) + 1}{h}$
43187	Find dy/dx	e^(2y)+x^3=y	$e^{2 y} + x^{3} = y$
43188	Find dp/dq	p=(cos(q)-sin(q))/(cos(q))	$p = \frac{\cos (q) - \sin (q)}{\cos (q)}$
43189	Solve for V	V=1/3pir^2H	$V = \frac{1}{3} π r^{2} H$
43190	Find dy/dx	y+ square root of xy=6	$y + \sqrt{x y} = 6$
43191	Find the Second Derivative	h(theta)=thetasin(theta)	$h (θ) = θ \sin (θ)$
43192	Find the Integral	integral of e^(x^2) with respect to x	$\int e^{x^{2}} d x$
43193	Find the Derivative of the Integral	y=sec(theta)tan(theta)	$y = \sec (θ) \tan (θ)$
43194	Find dx/dy	2x^2+y^2=9	$2 x^{2} + y^{2} = 9$
43195	Solve for x	8^x=(5^(x+2))/3	$8^{x} = \frac{5^{x + 2}}{3}$
43196	Solve for x	2cos(x)+2cos(2x)=0	$2 \cos (x) + 2 \cos (2 x) = 0$
43197	Find dy/dx	e^ycos(x)=9+sin(xy)	$e^{y} \cos (x) = 9 + \sin (x y)$
43198	Find the Third Derivative	x^2+3y^2=3	$x^{2} + 3 y^{2} = 3$
43199	Find the Inverse	h(x)=3/2x+1	$h (x) = \frac{3}{2} x + 1$
43200	Find the Exact Value	arctan(infinity)	$\arctan (\infty)$