Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
3301	Find the Derivative - d/dx	y=(x^2+2x-2)/(x^2-2x+2)	$y = \frac{x^{2} + 2 x - 2}{x^{2} - 2 x + 2}$
3302	Find the Derivative - d/dx	y=-(x^2)/16+2/x-x^(3/2)+1/(3x^2)+x/3	$y = - \frac{x^{2}}{16} + \frac{2}{x} - x^{\frac{3}{2}} + \frac{1}{3 x^{2}} + \frac{x}{3}$
3303	Find the Derivative - d/dx	y=(4x-1)^3	$y = {(4 x - 1)}^{3}$
3304	Find the Derivative - d/dx	h(x)=f(g(x))	$h (x) = f (g (x))$
3305	Find the Derivative - d/dx	g(x)=(x^2+5)/(x^2+6x)	$g (x) = \frac{x^{2} + 5}{x^{2} + 6 x}$
3306	Find the Derivative - d/dx	natural log of x^2+100	$\ln (x^{2} + 100)$
3307	Find the Derivative - d/dx	natural log of x/4	$\ln (\frac{x}{4})$
3308	Find the Derivative - d/dx	natural log of x^2+25	$\ln (x^{2} + 25)$
3309	Find the Derivative - d/dx	natural log of x^2-4x	$\ln (x^{2} - 4 x)$
3310	Find the Derivative - d/dx	natural log of 2x+1	$\ln (2 x + 1)$
3311	Find the Derivative - d/dx	natural log of sin(x)^2	$\ln (\sin^{2} (x))$
3312	Find the Derivative - d/dx	f(x)=cos((pix)/2)	$f (x) = \cos (\frac{π x}{2})$
3313	Find the Derivative - d/dx	f(x)=cos( natural log of x)	$f (x) = \cos (\ln (x))$
3314	Find the Derivative - d/dx	f(x)=x square root of x+4	$f (x) = x \sqrt{x + 4}$
3315	Find the Derivative - d/dx	f(x)=x square root of 2x-3	$f (x) = x \sqrt{2 x - 3}$
3316	Find the Derivative - d/dx	f(x)=x(3x-9)^3	$f (x) = x {(3 x - 9)}^{3}$
3317	Find the Derivative - d/dx	f(x)=sin(x)tan(x)	$f (x) = \sin (x) \tan (x)$
3318	Find the Derivative - d/d@VAR	g(x)=5e^x square root of x	$g (x) = 5 e^{x} \sqrt{x}$
3319	Find the Derivative - d/dx	f(x)=sin(5x)	$f (x) = \sin (5 x)$
3320	Find the Derivative - d/dx	x square root of 9-x	$x \sqrt{9 - x}$
3321	Find the Derivative - d/dx	xsin(3x)	$x \sin (3 x)$
3322	Find the Derivative - d/dx	xsin(x^2)	$x \sin (x^{2})$
3323	Find the Derivative - d/dx	y=(7-x^2)(x^3-x+5)	$y = (7 - x^{2}) (x^{3} - x + 5)$
3324	Find the Derivative - d/dx	tan(7x)	$\tan (7 x)$
3325	Find the Derivative - d/dx	tan(5x^3)	$\tan (5 x^{3})$
3326	Find the Derivative - d/dx	tan( square root of 1-x)	$\tan (\sqrt{1 - x})$
3327	Find the Derivative - d/dx	sin(x)cot(x)	$\sin (x) \cot (x)$
3328	Find the Derivative - d/dx	sin(9 natural log of x)	$\sin (9 \ln (x))$
3329	Find the Derivative - d/dx	sin(2x)-2sin(x)	$\sin (2 x) - 2 \sin (x)$
3330	Find the Derivative - d/dx	sin(tan(7x))	$\sin (\tan (7 x))$
3331	Find the Derivative - d/dx	sin(x^4)	$\sin (x^{4})$
3332	Find the Derivative - d/dx	x(1-2x)^3	$x {(1 - 2 x)}^{3}$
3333	Find the Derivative - d/dx	x(6-2x)^2	$x {(6 - 2 x)}^{2}$
3334	Find the Derivative - d/dx	x* natural log of x	$x \cdot \ln (x)$
3335	Find the Derivative - d/dx	natural log of natural log of 8x	$\ln (\ln (8 x))$
3336	Find the Derivative - d/dx	natural log of sin(3x)	$\ln (\sin (3 x))$
3337	Find the Derivative - d/dx	log of 5x	$\log (5 x)$
3338	Find the Derivative - d/dx	f(x)=(x^3-3x^2+4)/(x^2)	$f (x) = \frac{x^{3} - 3 x^{2} + 4}{x^{2}}$
3339	Find the Derivative - d/dx	f(x)=\|x-2\|	$f (x) = \| x - 2 \|$
3340	Find the Derivative - d/dx	f(x)=(1-x^2)/(1+x^2)	$f (x) = \frac{1 - x^{2}}{1 + x^{2}}$
3341	Find the Derivative - d/dx	f(x)=-1/2+7/5x^3	$f (x) = - \frac{1}{2} + \frac{7}{5} x^{3}$
3342	Find the Derivative - d/dx	y=(x-1)/(x+1)	$y = \frac{x - 1}{x + 1}$
3343	Find the Derivative - d/dx	6x^(1/2)	$6 x^{\frac{1}{2}}$
3344	Find the Derivative - d/dx	7cos(x)	$7 \cos (x)$
3345	Find the Derivative - d/dx	8x(x^2+9)^3	$8 x {(x^{2} + 9)}^{3}$
3346	Find the Derivative - d/dx	8 square root of x	$8 \sqrt{x}$
3347	Find the Derivative - d/dx	arctan(3x)	$\arctan (3 x)$
3348	Find the Derivative - d/dx	arctan(sin(x))	$\arctan (\sin (x))$
3349	Find the Derivative - d/dx	9xy	$9 x y$
3350	Find the Derivative - d/dx	cos( square root of x)	$\cos (\sqrt{x})$
3351	Find the Derivative - d/dx	cos(1/x)	$\cos (\frac{1}{x})$
3352	Find the Derivative - d/dx	ax	$a x$
3353	Find the Derivative - d/dx	cos(2arctan(x))	$\cos (2 \arctan (x))$
3354	Find the Derivative - d/dx	csc(3x)	$\csc (3 x)$
3355	Find the Derivative - d/dx	csc(h(x))	$csch (x)$
3356	Find the Derivative - d/dx	-cot(x)	$- \cot (x)$
3357	Find the Derivative - d/dx	f(x)=2x^2-3x	$f (x) = 2 x^{2} - 3 x$
3358	Find the Derivative - d/dx	f(x)=2 square root of x	$f (x) = 2 \sqrt{x}$
3359	Find the Derivative - d/dx	f(x)=x^3-12x	$f (x) = x^{3} - 12 x$
3360	Find the Derivative - d/dx	f(x)=x^9	$f (x) = x^{9}$
3361	Find the Derivative - d/dx	f(x)=2cos(x)+sin(2x)	$f (x) = 2 \cos (x) + \sin (2 x)$
3362	Find the Derivative - d/dx	f(x)=-3x square root of x+1	$f (x) = - 3 x \sqrt{x + 1}$
3363	Find the Derivative - d/dx	f(x)=5x^3	$f (x) = 5 x^{3}$
3364	Find dy/dx	y=x^9e^x	$y = x^{9} e^{x}$
3365	Find the Derivative - d/dx	f(x)=e^(cos(x))	$f (x) = e^{\cos (x)}$
3366	Find the Derivative - d/dx	f(x)=e^(sin(x))	$f (x) = e^{\sin (x)}$
3367	Find the Derivative - d/dx	f(x)=7/( square root of x)	$f (x) = \frac{7}{\sqrt{x}}$
3368	Find the Derivative - d/dx	f(x) = log base 5 of xe^x	$f (x) = \log_{5} (x e^{x})$
3369	Find the Derivative - d/d@VAR	f(t)=1/(1+t)	$f (t) = \frac{1}{1 + t}$
3370	Find the Derivative - d/d@VAR	f(x)=x^2-16/x	$f (x) = x^{2} - \frac{16}{x}$
3371	Find the Inverse	f(x)=cos(x)	$f (x) = \cos (x)$
3372	Find the Inverse	f(x)=1+ square root of 2+3x	$f (x) = 1 + \sqrt{2 + 3 x}$
3373	Find the Derivative - d/d@VAR	g(t)=4t^(-1/8)	$g (t) = 4 t^{- \frac{1}{8}}$
3374	Find the Derivative - d/d@VAR	f(x)=2^9*0	$f (x) = 2^{90}$
3375	Find the Derivative - d/d@VAR	s(x) = square root of x+5/( square root of x)	$s (x) = \sqrt{x} + \frac{5}{\sqrt{x}}$
3376	Find the Derivative - d/d@VAR	f(x) = log base 5 of xe^x	$f (x) = \log_{5} (x e^{x})$
3377	Find the Derivative - d/d@VAR	f(x)=e^(-2x)	$f (x) = e^{- 2 x}$
3378	Find the Derivative - d/d@VAR	f(x)=8/x	$f (x) = \frac{8}{x}$
3379	Find the Derivative - d/d@VAR	f(x) = square root of 3-2x	$f (x) = \sqrt{3 - 2 x}$
3380	Find the Derivative - d/d@VAR	f(x)=x^11	$f (x) = x^{11}$
3381	Find the Derivative - d/d@VAR	f(x)=x/(x^2-1)	$f (x) = \frac{x}{x^{2} - 1}$
3382	Find the Derivative - d/d@VAR	f(x)=9/x	$f (x) = \frac{9}{x}$
3383	Find the Derivative - d/d@VAR	f(x)=x^2e^x	$f (x) = x^{2} e^{x}$
3384	Find the Derivative - d/d@VAR	f(x)=x^(5/2)e^x	$f (x) = x^{\frac{5}{2}} e^{x}$
3385	Find the Derivative - d/d@VAR	f(x)=x^2 natural log of x^2	$f (x) = x^{2} \ln (x^{2})$
3386	Find the Derivative - d/d@VAR	f(x)=x^5-3x^4	$f (x) = x^{5} - 3 x^{4}$
3387	Find the Derivative - d/d@VAR	f(x)=5x^4	$f (x) = 5 x^{4}$
3388	Factor	-30x^4+120x^3	$- 30 x^{4} + 120 x^{3}$
3389	Factor	-3x^2+18x+120	$- 3 x^{2} + 18 x + 120$
3390	Factor	-3x^2+24x+60	$- 3 x^{2} + 24 x + 60$
3391	Factor	12x^2-24x	$12 x^{2} - 24 x$
3392	Factor	12x^2+6x-6	$12 x^{2} + 6 x - 6$
3393	Factor	u^4-1	$u^{4} - 1$
3394	Factor	u^3-64	$u^{3} - 64$
3395	Find the Integral	3x	$3 x$
3396	Find the Integral	3^x	$3^{x}$
3397	Find the Integral	e^(4x)	$e^{4 x}$
3398	Convert to Interval Notation	x^3<49x	$x^{3} < 49 x$
3399	Find the Integral	sec(x)tan(x)	$\sec (x) \tan (x)$
3400	Find dy/dx	square root of x+y=1+x^2y^2	$\sqrt{x + y} = 1 + x^{2} y^{2}$