Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
23501	Graph	y=x^2-6x+15	$y = x^{2} - 6 x + 15$
23502	Evaluate the Derivative at x=4	h(x)=5x^2(9x+7)^4 , x=4	$h (x) = 5 x^{2} {(9 x + 7)}^{4}$ , $x = 4$
23503	Evaluate the Derivative at x=3	f(x) = square root of x^2+27 , x=3	$f (x) = \sqrt{x^{2} + 27}$ , $x = 3$
23504	Evaluate the Derivative at x=5	f'(x)=4x^3+15x^2+10x+2 , x=5	$f' (x) = 4 x^{3} + 15 x^{2} + 10 x + 2$ , $x = 5$
23505	Find the Slope of the Tangent Line at @POINT	f(x)=(-x+3)(3x+4) , (-3)	$f (x) = (- x + 3) (3 x + 4)$ , $(- 3)$
23506	Find the Slope of the Tangent Line at @POINT	f(x)=2cos(3x)-1 , pi/2	$f (x) = 2 \cos (3 x) - 1$ , $\frac{π}{2}$
23507	Evaluate Using Summation Formulas	sum from k=1 to 5 of 4k	$\sum_{k = 1}^{5} 4 k$
23508	Evaluate Using Summation Formulas	sum from n=1 to 4 of n^2+2	$\sum_{n = 1}^{4} n^{2} + 2$
23509	Evaluate Using Summation Formulas	sum from n=1 to 6 of 2n+1	$\sum_{n = 1}^{6} 2 n + 1$
23510	Evaluate Using Summation Formulas	sum from n=1 to 8 of 3n-5	$\sum_{n = 1}^{8} 3 n - 5$
23511	Evaluate Using Summation Formulas	sum from n=1 to 8 of b(n)+sin((pi(nx))/l)	$\sum_{n = 1}^{8} b (n) + \sin (\frac{π (n x)}{l})$
23512	Evaluate Using Summation Formulas	sum from n=1 to 8 of natural log of n/(3n+1)	$\sum_{n = 1}^{8} \ln (\frac{n}{3 n + 1})$
23513	Evaluate Using Summation Formulas	sum from k=1 to 6 of 5k	$\sum_{k = 1}^{6} 5 k$
23514	Evaluate Using Summation Formulas	sum from k=1 to 20 of 5k+3	$\sum_{k = 1}^{20} 5 k + 3$
23515	Evaluate Using Summation Formulas	sum from n=1 to infinity of 12(-1/9)^(n-1)	$\sum_{n = 1}^{\infty} 12 {(- \frac{1}{9})}^{n - 1}$
23516	Evaluate Using Summation Formulas	sum from k=3 to 9 of k^2+1	$\sum_{k = 3}^{9} k^{2} + 1$
23517	Evaluate Using Summation Formulas	sum from i=1 to 11 of 2^(i-1)	$\sum_{i = 1}^{11} 2^{i - 1}$
23518	Evaluate Using Summation Formulas	sum from i=1 to 12 of 2i^2-1	$\sum_{i = 1}^{12} 2 i^{2} - 1$
23519	Evaluate Using Summation Formulas	sum from i=1 to 15 of i^2	$\sum_{i = 1}^{15} i^{2}$
23520	Evaluate Using Summation Formulas	sum from i=1 to 16 of 5i-4	$\sum_{i = 1}^{16} 5 i - 4$
23521	Evaluate Using Summation Formulas	sum from i=1 to 17 of (i-1)^2	$\sum_{i = 1}^{17} {(i - 1)}^{2}$
23522	Evaluate Using Summation Formulas	sum from i=0 to 8 of 10i	$\sum_{i = 0}^{8} 10 i$
23523	Find the Slope of the Tangent Line at x=1	f(x)=-2x^2-3x , x=1	$f (x) = - 2 x^{2} - 3 x$ , $x = 1$
23524	Evaluate Using Summation Formulas	sum from i=1 to 100 of 2^i	$\sum_{i = 1}^{100} 2^{i}$
23525	Evaluate Using Summation Formulas	sum from 1 to 8 of 1-11/x+x^2	$\sum_{1}^{8} 1 - \frac{11}{x} + x^{2}$
23526	Find the Slope of the Tangent Line at x=0	f(x)=(-5x^2-5x-2)(-4x-5) , x=0	$f (x) = (- 5 x^{2} - 5 x - 2) (- 4 x - 5)$ , $x = 0$
23527	Find the Slope of the Tangent Line at x=1.6	f(x)=x^7-7 , x=1.6	$f (x) = x^{7} - 7$ , $x = 1.6$
23528	Find the Slope of the Tangent Line at y=5x+4	f(x)=kx^3 , y=5x+4	$f (x) = k x^{3}$ , $y = 5 x + 4$
23529	Evaluate Using Summation Formulas	sum from n=1 to infinity of (-144)(1/2)^(n-1)	$\sum_{n = 1}^{\infty} (- 144) {(\frac{1}{2})}^{n - 1}$
23530	Find the Slope of the Tangent Line at y=3x	f(x)=9x^2(x+4) , y=3x	$f (x) = 9 x^{2} (x + 4)$ , $y = 3 x$
23531	Evaluate Using Summation Formulas	sum from i=6 to 9 of 4i+3	$\sum_{i = 6}^{9} 4 i + 3$
23532	Evaluate Using Summation Formulas	sum from i=4 to 7 of 3^i	$\sum_{i = 4}^{7} 3^{i}$
23533	Evaluate Using Summation Formulas	sum from i=2 to 24 of 5i^2+8	$\sum_{i = 2}^{24} 5 i^{2} + 8$
23534	Evaluate Using Summation Formulas	sum from k=0 to 3 of k^2-4k+9	$\sum_{k = 0}^{3} k^{2} - 4 k + 9$
23535	Evaluate Using Summation Formulas	sum from i=1 to 20 of (i-1)^2	$\sum_{i = 1}^{20} {(i - 1)}^{2}$
23536	Evaluate Using Summation Formulas	sum from n=1 to 4 of (125)(1/5)^(n-1)	$\sum_{n = 1}^{4} (125) {(\frac{1}{5})}^{n - 1}$
23537	Evaluate Using Summation Formulas	sum from i=1 to 6 of 7i	$\sum_{i = 1}^{6} 7 i$
23538	Evaluate Using Summation Formulas	sum from i=1 to 28 of 8i-13	$\sum_{i = 1}^{28} 8 i - 13$
23539	Evaluate Using Summation Formulas	sum from i=1 to 5 of i(i+4)	$\sum_{i = 1}^{5} i (i + 4)$
23540	Find the Tangent Line at x=6	f(x) = square root of 2x-3 , x=6	$f (x) = \sqrt{2 x - 3}$ , $x = 6$
23541	Find the Tangent Line at x=1	f(x)=(3x-4)/(4x-3) , x=1	$f (x) = \frac{3 x - 4}{4 x - 3}$ , $x = 1$
23542	Find the Tangent Line at x=4	f(x)=2x^2+x-3 , x=4	$f (x) = 2 x^{2} + x - 3$ , $x = 4$
23543	Find the Tangent Line at x=4	g(x)=(2x-3)/(7x+4) , x=4	$g (x) = \frac{2 x - 3}{7 x + 4}$ , $x = 4$
23544	Find the Tangent Line at x=4	f(x)=2x+5/x , x=4	$f (x) = 2 x + \frac{5}{x}$ , $x = 4$
23545	Find the Tangent Line at x=3	f(x) = square root of x^2+16 , x=3	$f (x) = \sqrt{x^{2} + 16}$ , $x = 3$
23546	Find the Tangent Line at x=2	f(x)=x^4-13x^2+36 , x=2	$f (x) = x^{4} - 13 x^{2} + 36$ , $x = 2$
23547	Find the Tangent Line at x=3	f(x)=0.5x^2-2x-4 , x=3	$f (x) = 0.5 x^{2} - 2 x - 4$ , $x = 3$
23548	Find the Tangent Line at x=1	f(x)=x^4-13x^2+36 , x=1	$f (x) = x^{4} - 13 x^{2} + 36$ , $x = 1$
23549	Find the Tangent Line at x=1	f(x)=x-1/(x^2) , x=1	$f (x) = x - \frac{1}{x^{2}}$ , $x = 1$
23550	Find the Tangent Line at x=-2	f(x)=x^4-17x^2+16 , x=-2	$f (x) = x^{4} - 17 x^{2} + 16$ , $x = - 2$
23551	Find the Tangent Line at x=-2	f(x)=x^4-18x^2+81 , x=-2	$f (x) = x^{4} - 18 x^{2} + 81$ , $x = - 2$
23552	Find the Tangent Line at x=-1	f(x)=3x^3 , x=-1	$f (x) = 3 x^{3}$ , $x = - 1$
23553	Find the Tangent Line at x=-4	f(x)=5x^2+x , x=-4	$f (x) = 5 x^{2} + x$ , $x = - 4$
23554	Find the Tangent Line at x=(1)/(11)	f(x)=x/(2-11x) , x=1/11	$f (x) = \frac{x}{2 - 11 x}$ , $x = \frac{1}{11}$
23555	Find the Tangent Line at 6x-y+4=0	f(x)=2x^2 , 6x-y+4=0	$f (x) = 2 x^{2}$ , $6 x - y + 4 = 0$
23556	Find the Tangent Line at x=(p)/(6)	f(x)=tan(2x) , x=pi/6	$f (x) = \tan (2 x)$ , $x = \frac{π}{6}$
23557	Find the Tangent Line at x=-1	f(x)=1-2x^2 , x=-1	$f (x) = 1 - 2 x^{2}$ , $x = - 1$
23558	Find the Tangent Line at x=-8	f'(x)=9x^2+4x-10 , x=-8	$f' (x) = 9 x^{2} + 4 x - 10$ , $x = - 8$
23559	Find the Tangent Line at x=1	f(x)=x^4-5x^2+4 , x=1	$f (x) = x^{4} - 5 x^{2} + 4$ , $x = 1$
23560	Find the Tangent Line at x0=6	f(x)=3x , a=6	$f (x) = 3 x$ , $a = 6$
23561	Evaluate the Derivative at @EQ	f(x)=3x+5 , (1.8)	$f (x) = 3 x + 5$ , $(1.8)$
23562	Evaluate the Derivative at [0,(p)/(10)]	h(t)=sin(5t) , [0,pi/10]	$h (t) = \sin (5 t)$ , $[0, \frac{π}{10}]$
23563	Evaluate the Derivative at @EQ	f(x) = square root of x^2+21 , 2	$f (x) = \sqrt{x^{2} + 21}$ , $2$
23564	Evaluate the Derivative at a=1	f(x)=2x^2-5x+3 , a=1	$f (x) = 2 x^{2} - 5 x + 3$ , $a = 1$
23565	Evaluate the Derivative at a=4	f(x)=7x-32 square root of x , a=4	$f (x) = 7 x - 32 \sqrt{x}$ , $a = 4$
23566	Evaluate the Derivative at c=7	f(x)=x^3+4x , c=7	$f (x) = x^{3} + 4 x$ , $c = 7$
23567	Evaluate the Derivative at @EQ	C(x)=4000-40x+0 , 2x^2	$C (x) = 4000 - 40 x + 0$ , $2 x^{2}$
23568	Find the Tangent Line at a=(1)/(25)	f(x)=2/( square root of x) , a=1/25	$f (x) = \frac{2}{\sqrt{x}}$ , $a = \frac{1}{25}$
23569	Find the Tangent Line at a=3	f(x) = square root of x+1 , a=3	$f (x) = \sqrt{x + 1}$ , $a = 3$
23570	Find Where Undefined/Discontinuous	y=(x+2)/(cos(x))	$y = \frac{x + 2}{\cos (x)}$
23571	Find Where Undefined/Discontinuous	g(t)=sin(t)	$g (t) = \sin (t)$
23572	Find Where Undefined/Discontinuous	(x^2-16)/(x-4)	$\frac{x^{2} - 16}{x - 4}$
23573	Find Where Undefined/Discontinuous	e^x	$e^{x}$
23574	Find Where Undefined/Discontinuous	square root of 4-x^2	$\sqrt{4 - x^{2}}$
23575	Find Where Undefined/Discontinuous	square root of x+4	$\sqrt{x + 4}$
23576	Find Where Undefined/Discontinuous	natural log of x	$\ln (x)$
23577	Find Where Undefined/Discontinuous	(x^2-36)/(x-6)	$\frac{x^{2} - 36}{x - 6}$
23578	Find Where Undefined/Discontinuous	natural log of x=e^(-x)	$\ln (x) = e^{- x}$
23579	Find Where Undefined/Discontinuous	natural log of x^2+1	$\ln (x^{2} + 1)$
23580	Find Where Undefined/Discontinuous	f(x)=(x^2-6x-7)/(x+1)	$f (x) = \frac{x^{2} - 6 x - 7}{x + 1}$
23581	Find Where Undefined/Discontinuous	f(x)=(x^2-81)/(x-9)	$f (x) = \frac{x^{2} - 81}{x - 9}$
23582	Find Where Undefined/Discontinuous	tan(2x)	$\tan (2 x)$
23583	Find Where Undefined/Discontinuous	f(x)=sin(x^2-2)	$f (x) = \sin (x^{2} - 2)$
23584	Find Where Undefined/Discontinuous	f(x)=cot(x)	$f (x) = \cot (x)$
23585	Find Where Undefined/Discontinuous	f(x)=(x-9)/(\|x\|-9)	$f (x) = \frac{x - 9}{\| x \| - 9}$
23586	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-3,4) , (5,6)	$(- 3, 4) (5, 6)$
23587	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(7,5) , (-3,5)	$(7, 5) (- 3, 5)$
23588	Factor	f(x)=x^3-8	$f (x) = x^{3} - 8$
23589	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-2,2) , (0,7)	$(- 2, 2) (0, 7)$
23590	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(5,3) , (5,10)	$(5, 3)$ , $(5, 10)$
23591	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(6,-2) , (6,3/2)	$(6, - 2) (6, \frac{3}{2})$
23592	Add	4/(5(k-3))+5/(2(k-3))	$\frac{4}{5 (k - 3)} + \frac{5}{2 (k - 3)}$
23593	Factor	f(x)=x^3-5x^2+12x-8	$f (x) = x^{3} - 5 x^{2} + 12 x - 8$
23594	Factor	f(x)=x^3-5x^2+3	$f (x) = x^{3} - 5 x^{2} + 3$
23595	Factor	f(x)=3x^2+18x+15	$f (x) = 3 x^{2} + 18 x + 15$
23596	Factor	f(x)=x^2-6x-16	$f (x) = x^{2} - 6 x - 16$
23597	Factor	f(x)=7e^(0+2)+e^-4	$f (x) = 7 e^{0 + 2} + e^{- 4}$
23598	Factor	f(x)=3x^2-6x-9	$f (x) = 3 x^{2} - 6 x - 9$
23599	Factor	f(x)=5(-3)+5	$f (x) = 5 (- 3) + 5$
23600	Factor	h(t)=-16t^2+160t	$h (t) = - 16 t^{2} + 160 t$