Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
401	Find the Derivative - d/dx	cot(x)^2	$\cot^{2} (x)$
402	Find the Derivative - d/dx	x^2+3	$x^{2} + 3$
403	Find the Derivative - d/dr	pe^(rt)	$p e^{r t}$
404	Find the Derivative - d/dx	x^2-2x	$x^{2} - 2 x$
405	Find the Derivative - d/dx	y=sin(x)	$y = \sin (x)$
406	Find the Derivative - d/dx	x^9	$x^{9}$
407	Find the Derivative - d/dx	y=xcos(x)	$y = x \cos (x)$
408	Find the Integral	sin(2x)	$\sin (2 x)$
409	Find dy/dx	x^3+3x^2y+y^3=8	$x^{3} + 3 x^{2} y + y^{3} = 8$
410	Find the Derivative - d/dx	square root of 9-x^2	$\sqrt{9 - x^{2}}$
411	Find dy/dx	x^3+y^3=1	$x^{3} + y^{3} = 1$
412	Find the Derivative - d/dx	square root of x^2-1	$\sqrt{x^{2} - 1}$
413	Find the Derivative - d/dx	x^2e^(-x)	$x^{2} e^{- x}$
414	Find the Derivative - d/dx	e^7	$e^{7}$
415	Evaluate the Summation	sum from k=1 to 5 of k^2	$\sum_{k = 1}^{5} k^{2}$
416	Find the 2nd Derivative	y=cos(X^2)	$y = \cos (X^{2})$
417	Evaluate the Integral	integral of x/( square root of 1-x^2) with respect to x	$\int \frac{x}{\sqrt{1 - x^{2}}} d x$
418	Evaluate the Integral	integral of xsin(3x) with respect to x	$\int x \sin (3 x) d x$
419	Evaluate the Integral	integral from 0 to 1 of (x-6)/(x^2-6x+8) with respect to x	$\int_{0}^{1} \frac{x - 6}{x^{2} - 6 x + 8} d x$
420	Evaluate the Integral	integral of xe^(4x) with respect to x	$\int x e^{4 x} d x$
421	Evaluate the Integral	integral of xe^(-4x) with respect to x	$\int x e^{- 4 x} d x$
422	Evaluate the Integral	integral of 5^x with respect to x	$\int 5^{x} d x$
423	Evaluate the Integral	integral of (sin( square root of x))/( square root of x) with respect to x	$\int \frac{\sin (\sqrt{x})}{\sqrt{x}} d x$
424	Evaluate the Integral	integral of sin(5x) with respect to x	$\int \sin (5 x) d x$
425	Evaluate the Integral	integral of 1/(cos(x)-1) with respect to x	$\int \frac{1}{\cos (x) - 1} d x$
426	Evaluate the Integral	integral of x^5 with respect to x	$\int x^{5} d x$
427	Evaluate the Integral	integral of x^4 with respect to x	$\int x^{4} d x$
428	Evaluate the Integral	integral of x^3 natural log of x with respect to x	$\int x^{3} \ln (x) d x$
429	Evaluate the Integral	integral of 7x^2 natural log of x with respect to x	$\int 7 x^{2} \ln (x) d x$
430	Evaluate the Integral	integral of ( natural log of x)/(x^2) with respect to x	$\int \frac{\ln (x)}{x^{2}} d x$
431	Find the Derivative of the Integral	integral of sin(x) with respect to x	$\int \sin (x) d x$
432	Find the Derivative - d/dx	csc(x)	$\csc (x)$
433	Find the Derivative - d/d@VAR	f(x)=e^(5x)	$f (x) = e^{5 x}$
434	Find the Derivative - d/d@VAR	f(x)=x^5	$f (x) = x^{5}$
435	Find the Derivative - d/dx	square root of 4-x^2	$\sqrt{4 - x^{2}}$
436	Find the Derivative - d/dx	x^2-16/x	$x^{2} - \frac{16}{x}$
437	Find the Derivative - d/dx	f(x)=1/( square root of x)	$f (x) = \frac{1}{\sqrt{x}}$
438	Find the Derivative - d/dx	f(x)=x^4	$f (x) = x^{4}$
439	Find the Derivative - d/dx	x^2+4	$x^{2} + 4$
440	Find the Derivative - d/dx	sin(xy)	$\sin (x y)$
441	Find the Derivative - d/dx	square root of x^2+4	$\sqrt{x^{2} + 4}$
442	Find the Derivative - d/dx	(2x+1)^2	${(2 x + 1)}^{2}$
443	Find the Derivative - d/dx	natural log of 3	$\ln (3)$
444	Find the Derivative Using Chain Rule - d/dx	square root of x	$\sqrt{x}$
445	Find the Derivative - d/dy	e^y	$e^{y}$
446	Find the Derivative - d/dy	2xy	$2 x y$
447	Find the Derivative - d/dx	xy^2	$x y^{2}$
448	Find the Derivative - d/dx	x^3-12x	$x^{3} - 12 x$
449	Find the Derivative - d/dx	3x^4	$3 x^{4}$
450	Find the Derivative - d/dx	x/(x^2-1)	$\frac{x}{x^{2} - 1}$
451	Find the Derivative - d/dx	e^(cos(x))	$e^{\cos (x)}$
452	Find the Derivative - d/dx	1/( natural log of x)	$\frac{1}{\ln (x)}$
453	Find the Derivative - d/dx	(x^2)/(x+1)	$\frac{x^{2}}{x + 1}$
454	Find the Derivative - d/dx	natural log of 7x	$\ln (7 x)$
455	Find the Local Maxima and Minima	e^(1-20x+5x^2)	$e^{1 - 20 x + 5 x^{2}}$
456	Evaluate the Limit	limit as x approaches 2 of f(x)	$lim_{x \to 2} f (x)$
457	Evaluate the Limit	limit as x approaches 0 of (1+x)^(1/x)	$lim_{x \to 0} {(1 + x)}^{\frac{1}{x}}$
458	Evaluate the Limit	( limit as x approaches 2 of x^2-4)/(x-2)	$\frac{lim_{x \to 2} x^{2} - 4}{x - 2}$
459	Find the Absolute Max and Min over the Interval	f(x)=x^3-3x^2-1 , [-3,4]	$f (x) = x^{3} - 3 x^{2} - 1$ , $[- 3, 4]$
460	Find the Derivative - d/dx	6^x	$6^{x}$
461	Evaluate the Integral	integral from -2 to 1 of square root of 3^2-x^2 with respect to x	$\int_{- 2}^{1} \sqrt{3^{2} - x^{2}} d x$
462	Find the Derivative - d/dx	1	$1$
463	Evaluate the Integral	integral of 1/(5-3x) with respect to x	$\int \frac{1}{5 - 3 x} d x$
464	Evaluate the Integral	integral of x^-3 with respect to x	$\int x^{- 3} d x$
465	Evaluate the Integral	integral of 4/(x^2+9) with respect to x	$\int \frac{4}{x^{2} + 9} d x$
466	Evaluate the Integral	integral of cos(4x) with respect to x	$\int \cos (4 x) d x$
467	Evaluate the Integral	integral from 0 to 2 of 3x^2 with respect to x	$\int_{0}^{2} 3 x^{2} d x$
468	Evaluate the Integral	integral of x^3e^x with respect to x	$\int x^{3} e^{x} d x$
469	Evaluate the Integral	integral of x^2e^(-x) with respect to x	$\int x^{2} e^{- x} d x$
470	Evaluate the Integral	integral of (( natural log of x)^2)/x with respect to x	$\int \frac{\ln^{2} (x)}{x} d x$
471	Evaluate the Integral	integral of sin(x)^5 with respect to x	$\int \sin^{5} (x) d x$
472	Evaluate the Integral	integral of 8x^2 natural log of x with respect to x	$\int 8 x^{2} \ln (x) d x$
473	Evaluate the Integral	integral of x^3e^(x^2) with respect to x	$\int x^{3} e^{x^{2}} d x$
474	Evaluate the Integral	integral from 5 to 6 of x square root of x-5 with respect to x	$\int_{5}^{6} x \sqrt{x - 5} d x$
475	Find the Derivative - d/dx	3-x^2	$3 - x^{2}$
476	Find the Derivative - d/dx	natural log of 1	$\ln (1)$
477	Find the Derivative - d/dx	7e^x square root of x	$7 e^{x} \sqrt{x}$
478	Find the Derivative - d/dx	tan(x)^3	$\tan^{3} (x)$
479	Evaluate the Limit	( limit as x approaches 4 of x^2-16)/(x-4)	$\frac{lim_{x \to 4} x^{2} - 16}{x - 4}$
480	Evaluate the Limit	( limit as x approaches 8 of ( square root of x+ cube root of 8x)+4)/( square root of 4x+ cube root of x+4)	$\frac{lim_{x \to 8} (\sqrt{x} + \sqrt[3]{8 x}) + 4}{\sqrt{4 x} + \sqrt[3]{x} + 4}$
481	Evaluate the Limit	limit as x approaches 2 of x^2	$lim_{x \to 2} x^{2}$
482	Find the Local Maxima and Minima	f(x)=xe^(-x)	$f (x) = x e^{- x}$
483	Find the Derivative - d/d@VAR	f(x)=1-x^2	$f (x) = 1 - x^{2}$
484	Find the Derivative - d/d@VAR	f(x)=x natural log of x	$f (x) = x \ln (x)$
485	Find the Derivative - d/d@VAR	f(x)=1	$f (x) = 1$
486	Find the Antiderivative	2x	$2 x$
487	Evaluate the Limit	limit as x approaches 8 of natural log of x	$lim_{x \to 8} \ln (x)$
488	Find the Derivative - d/dx	x/(x-1)	$\frac{x}{x - 1}$
489	Find the Derivative - d/dx	(x^2)/(x^2+3)	$\frac{x^{2}}{x^{2} + 3}$
490	Find the Derivative - d/dx	x^2+5	$x^{2} + 5$
491	Find the Derivative - d/dx	2xcos(x^2)	$2 x \cos (x^{2})$
492	Find the Derivative - d/dx	x^3cos(x)	$x^{3} \cos (x)$
493	Find the Derivative - d/dx	( square root of x-4)/( square root of x+4)	$\frac{\sqrt{x} - 4}{\sqrt{x} + 4}$
494	Find the Derivative - d/dx	y=(x^2-4)/x	$y = \frac{x^{2} - 4}{x}$
495	Find the Derivative - d/dy	(y^4)/4+1/(8y^2)	$\frac{y^{4}}{4} + \frac{1}{8 y^{2}}$
496	Find the Derivative - d/dx	x^3+1	$x^{3} + 1$
497	Find the Integral	csc(x)^2	$\csc^{2} (x)$
498	Find the Derivative - d/dx	5/x	$\frac{5}{x}$
499	Find the Derivative - d/dx	2^4*0	$2^{40}$
500	Evaluate the Integral	integral of x^2e^(2x) with respect to x	$\int x^{2} e^{2 x} d x$