Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
501	Find the Derivative - d/dx	x^(3/2)	$x^{\frac{3}{2}}$
502	Find the Derivative - d/dx	natural log of sec(x)	$\ln (\sec (x))$
503	Find the Derivative - d/dx	1/27(9x^2+6)^(3/2)	$\frac{1}{27} {(9 x^{2} + 6)}^{\frac{3}{2}}$
504	Find the Derivative - d/dx	f(x)=5	$f (x) = 5$
505	Find the Derivative - d/dx	x^2-4x	$x^{2} - 4 x$
506	Find the Derivative - d/dx	f(x)=e^(-x)	$f (x) = e^{- x}$
507	Find the Derivative - d/d@VAR	f(x)=e^x	$f (x) = e^{x}$
508	Find the Derivative - d/dx	-(10x)/((x^2+5)^2)	$- \frac{10 x}{{(x^{2} + 5)}^{2}}$
509	Find the Derivative - d/dx	y=x(x-4)^3	$y = x {(x - 4)}^{3}$
510	Find the Derivative - d/dx	square root of sin(x)	$\sqrt{\sin (x)}$
511	Find the 2nd Derivative	f(x)=csc(x)	$f (x) = \csc (x)$
512	Evaluate the Integral	integral of p^5 natural log of p with respect to p	$\int p^{5} \ln (p) d p$
513	Evaluate the Integral	integral of 1/(e^x) with respect to x	$\int \frac{1}{e^{x}} d x$
514	Evaluate the Integral	integral of (7x^2-5)(3x^3+4) with respect to x	$\int (7 x^{2} - 5) (3 x^{3} + 4) d x$
515	Evaluate the Integral	integral of x/((x^2+1)^2) with respect to x	$\int \frac{x}{{(x^{2} + 1)}^{2}} d x$
516	Evaluate the Integral	integral from -1 to 2 of x^3 with respect to x	$\int_{- 1}^{2} x^{3} d x$
517	Evaluate the Integral	integral of 2e^x with respect to x	$\int 2 e^{x} d x$
518	Evaluate the Integral	integral of 1/(x natural log of x) with respect to x	$\int \frac{1}{x \ln (x)} d x$
519	Evaluate the Integral	integral of square root of x natural log of x with respect to x	$\int \sqrt{x} \ln (x) d x$
520	Evaluate the Integral	integral from 0 to 8 of square root of 8x with respect to x	$\int_{0}^{8} \sqrt{8 x} d x$
521	Evaluate the Integral	integral of x^3e^(x^4) with respect to x	$\int x^{3} e^{x^{4}} d x$
522	Evaluate	arcsin(1)	$\arcsin (1)$
523	Find the Absolute Max and Min over the Interval	f(x)=x^3-3x^2-1 , [-3,2]	$f (x) = x^{3} - 3 x^{2} - 1$ , $[- 3, 2]$
524	Find the Absolute Max and Min over the Interval	f(x)=0.8x^3-4x^2-1 , [-30,4]	$f (x) = 0.8 x^{3} - 4 x^{2} - 1$ , $[- 30, 4]$
525	Evaluate	cos(2)	$\cos (2)$
526	Find the Derivative - d/dx	y = natural log of x	$y = \ln (x)$
527	Find dy/dx	x^2y+y^2x=-2	$x^{2} y + y^{2} x = - 2$
528	Find dy/dx	4cos(x)sin(y)=1	$4 \cos (x) \sin (y) = 1$
529	Find dy/dx	y=16 fourth root of 4x^4+4	$y = 16 \sqrt[4]{4 x^{4} + 4}$
530	Find the Derivative - d/d@VAR	f(x)=x^(cos(x))	$f (x) = x^{\cos (x)}$
531	Find the Integral	e^(x^2)	$e^{x^{2}}$
532	Find the Derivative - d/dx	9-x^2	$9 - x^{2}$
533	Find the Derivative - d/dx	4/(x^2)-10x^3	$\frac{4}{x^{2}} - 10 x^{3}$
534	Find the Derivative - d/dx	sec(x^2)	$\sec (x^{2})$
535	Find the Derivative - d/dx	sin( natural log of x)	$\sin (\ln (x))$
536	Find the Derivative - d/dx	(x^2)/4	$\frac{x^{2}}{4}$
537	Find the Derivative - d/dx	natural log of 1+x	$\ln (1 + x)$
538	Find the Derivative - d/dx	square root of 25-x^2	$\sqrt{25 - x^{2}}$
539	Find the Derivative - d/dx	x^2(1-2x)	$x^{2} (1 - 2 x)$
540	Find the Derivative - d/dx	y=(9 square root of x)/x	$y = \frac{9 \sqrt{x}}{x}$
541	Find the Derivative - d/dx	y=( natural log of x)/x	$y = \frac{\ln (x)}{x}$
542	Find the Integral	xe^x	$x e^{x}$
543	Find the Integral	x^3	$x^{3}$
544	Find the Derivative - d/dx	-csc(x)-sin(x)	$- \csc (x) - \sin (x)$
545	Find the Derivative - d/dx	sec(2x)	$\sec (2 x)$
546	Evaluate the Integral	integral of x natural log of x with respect to x	$\int x \ln (x) d x$
547	Find the Derivative - d/d@VAR	f(X)=2x^2+x-1	$f (X) = 2 x^{2} + x - 1$
548	Find the Derivative - d/dx	-csc(x)	$- \csc (x)$
549	Evaluate the Integral	integral of x^2 square root of x^3+1 with respect to x	$\int x^{2} \sqrt{x^{3} + 1} d x$
550	Find the Derivative - d/dx	4 square root of x-5/(x^2)	$4 \sqrt{x} - \frac{5}{x^{2}}$
551	Find the Derivative - d/dx	5sin(x)	$5 \sin (x)$
552	Find the Derivative - d/dx	1/(x+1)	$\frac{1}{x + 1}$
553	Find the Derivative - d/dx	1-sin(x)	$1 - \sin (x)$
554	Find the Derivative - d/dx	3x^(2/3)-2x	$3 x^{\frac{2}{3}} - 2 x$
555	Find the Derivative - d/dx	x^2-3	$x^{2} - 3$
556	Find the Derivative - d/dx	y = square root of x+4	$y = \sqrt{x + 4}$
557	Find the Derivative - d/dx	x^3 natural log of x	$x^{3} \ln (x)$
558	Find the Derivative - d/dx	1/(x^9)	$\frac{1}{x^{9}}$
559	Find the Derivative - d/dx	x^2y	$x^{2} y$
560	Find the Derivative - d/dx	(3x-8) natural log of 2x^5+3	$(3 x - 8) \ln (2 x^{5} + 3)$
561	Find the Derivative - d/dx	x^3-x	$x^{3} - x$
562	Find the Derivative - d/dx	(x^2)/(x-1)	$\frac{x^{2}}{x - 1}$
563	Find the Derivative - d/dx	1/(1+x)	$\frac{1}{1 + x}$
564	Find the Derivative - d/dx	3e^x square root of x	$3 e^{x} \sqrt{x}$
565	Find the Derivative - d/dx	1/(x-2)	$\frac{1}{x - 2}$
566	Find the Derivative - d/dx	8x^2	$8 x^{2}$
567	Find the Derivative - d/dt	e^t	$e^{t}$
568	Evaluate the Limit	limit as x approaches 3 of f(x)	$lim_{x \to 3} f (x)$
569	Evaluate the Limit	limit as x approaches pi of cot(x)	$lim_{x \to π} \cot (x)$
570	Graph	x^2 natural log of x	$x^{2} \ln (x)$
571	Graph	( natural log of x)^2	$\ln^{2} (x)$
572	Find the Area Between the Curves	y=x , y=x^2	$y = x$ , $y = x^{2}$
573	Evaluate the Limit	limit as x approaches 0 of x^2	$lim_{x \to 0} x^{2}$
574	Evaluate the Limit	limit as x approaches negative infinity of e^x	$lim_{x \to - \infty} e^{x}$
575	Evaluate the Limit	( limit as x approaches 9 of square root of x-3)/(x-9)	$\frac{lim_{x \to 9} \sqrt{x} - 3}{x - 9}$
576	Evaluate the Limit	limit as x approaches pi/2 of sin(x)	$lim_{x \to \frac{π}{2}} \sin (x)$
577	Evaluate the Limit	limit as h approaches 0 of ((x+h)^3-x^3)/h	$lim_{h \to 0} \frac{{(x + h)}^{3} - x^{3}}{h}$
578	Evaluate	sin((3pi)/2)	$\sin (\frac{3 π}{2})$
579	Evaluate	cot(pi/4)	$\cot (\frac{π}{4})$
580	Find the Absolute Max and Min over the Interval	f(x)=x^2-5 , [0,3]	$f (x) = x^{2} - 5$ , $[0, 3]$
581	Find the Absolute Max and Min over the Interval	f(x)=x^4-4x^2 , [-3,4]	$f (x) = x^{4} - 4 x^{2}$ , $[- 3, 4]$
582	Find the Absolute Max and Min over the Interval	f(x)=6x^2 , [1,3]	$f (x) = 6 x^{2}$ , $[1, 3]$
583	Evaluate the Integral	integral of 2/x with respect to x	$\int \frac{2}{x} d x$
584	Evaluate the Integral	integral from 1 to 2 of x natural log of x with respect to x	$\int_{1}^{2} x \ln (x) d x$
585	Evaluate the Integral	integral of e^y with respect to y	$\int e^{y} d y$
586	Evaluate the Integral	integral of natural log of 3x with respect to x	$\int \ln (3 x) d x$
587	Evaluate the Integral	integral of 1/(y^2) with respect to y	$\int \frac{1}{y^{2}} d y$
588	Evaluate the Integral	integral of 1/( square root of 1-x^2) with respect to x	$\int \frac{1}{\sqrt{1 - x^{2}}} d x$
589	Evaluate the Integral	integral of -3 with respect to x	$\int - 3 d x$
590	Evaluate the Integral	integral from 0 to 1 of (x^2+6)e^(-x) with respect to x	$\int_{0}^{1} (x^{2} + 6) e^{- x} d x$
591	Evaluate the Integral	integral of 2t with respect to t	$\int 2 t d t$
592	Evaluate the Integral	integral from 2 to 3 of x square root of x-2 with respect to x	$\int_{2}^{3} x \sqrt{x - 2} d x$
593	Evaluate the Integral	integral of (t^2)/( square root of 1-t^6) with respect to t	$\int \frac{t^{2}}{\sqrt{1 - t^{6}}} d t$
594	Evaluate the Integral	integral from 4 to 9 of square root of x with respect to x	$\int_{4}^{9} \sqrt{x} d x$
595	Evaluate the Integral	integral of e^xcos(x) with respect to x	$\int e^{x} \cos (x) d x$
596	Find the Derivative - d/dx	y=((x+5)x)/(x+1)	$y = \frac{(x + 5) x}{x + 1}$
597	Find the Derivative - d/dx	(x^2)/6	$\frac{x^{2}}{6}$
598	Find the Derivative - d/dx	y=(3 square root of x)/x	$y = \frac{3 \sqrt{x}}{x}$
599	Evaluate the Summation	sum from i=1 to 4 of 6^(i-1)	$\sum_{i = 1}^{4} 6^{i - 1}$
600	Evaluate the Limit	limit as t approaches 0 of 1/t-1/(t^2+t)	$lim_{t \to 0} \frac{1}{t} - \frac{1}{t^{2} + t}$