Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
21401	Find the Difference Quotient	H(u)=(u- square root of u)(u+ square root of u)	$H (u) = (u - \sqrt{u}) (u + \sqrt{u})$
21402	Find the Percentage Rate of Change	f(x) = square root of x^2+9 , x=4	$f (x) = \sqrt{x^{2} + 9}$ , $x = 4$
21403	Find the Difference Quotient	f(x)=-5x+7	$f (x) = - 5 x + 7$
21404	Find the Percentage Rate of Change	g(x)=(2x-4)/(7x+8) , x=8	$g (x) = \frac{2 x - 4}{7 x + 8}$ , $x = 8$
21405	Find the Percentage Rate of Change	P(t)=20(65+5t)^2-1300t , t=8	$P (t) = 20 {(65 + 5 t)}^{2} - 1300 t$ , $t = 8$
21406	Evaluate Using the Remainder Theorem	f(x)=970+15x-4x^2 , f(17)	$f (x) = 970 + 15 x - 4 x^{2}$ , $f (17)$
21407	Find the Difference Quotient	f(x)=x^3-4x+6	$f (x) = x^{3} - 4 x + 6$
21408	Find the Difference Quotient	f(x)=1-x^2	$f (x) = 1 - x^{2}$
21409	Find the Difference Quotient	f(x)=1-x^3	$f (x) = 1 - x^{3}$
21410	Find the Difference Quotient	f(x)=10.72(0.09t+10)^0.3	$f (x) = 10.72 {(0.09 t + 10)}^{0.3}$
21411	Find the Difference Quotient	f(x)=-2x^2-x-4	$f (x) = - 2 x^{2} - x - 4$
21412	Find the Difference Quotient	f(x)=2x^2+5x-3	$f (x) = 2 x^{2} + 5 x - 3$
21413	Find the Difference Quotient	f(x)=-2x^2-3x-2	$f (x) = - 2 x^{2} - 3 x - 2$
21414	Find the Difference Quotient	f(x)=-x^2	$f (x) = - x^{2}$
21415	Find the Difference Quotient	f(x) = square root of 6x-3	$f (x) = \sqrt{6 x - 3}$
21416	Find the Difference Quotient	f(x) = square root of 2x+1	$f (x) = \sqrt{2 x + 1}$
21417	Find the Derivative - d/dx	3^x log base 3 of x	$3^{x} \log_{3} (x)$
21418	Find the Difference Quotient	f(x) = square root of x+3	$f (x) = \sqrt{x + 3}$
21419	Find the Difference Quotient	f(x)=x^2-5x+1	$f (x) = x^{2} - 5 x + 1$
21420	Find the Difference Quotient	f(x)=x^2-5x+2	$f (x) = x^{2} - 5 x + 2$
21421	Find the Difference Quotient	f(x)=x^3+2x	$f (x) = x^{3} + 2 x$
21422	Find the Difference Quotient	f(x)=-4x^2-3x-1	$f (x) = - 4 x^{2} - 3 x - 1$
21423	Find the Difference Quotient	f(x)=3x^2-2x-1	$f (x) = 3 x^{2} - 2 x - 1$
21424	Find the Difference Quotient	f(x)=4	$f (x) = 4$
21425	Find the Difference Quotient	f(x)=-2x^2-3x-1	$f (x) = - 2 x^{2} - 3 x - 1$
21426	Find dy/dx	cos(xy)=x-y	$\cos (x y) = x - y$
21427	Evaluate the Limit	limit as x approaches 0 of (x-sin(x))/x	$lim_{x \to 0} \frac{x - \sin (x)}{x}$
21428	Find the Difference Quotient	f(x)=5x-3	$f (x) = 5 x - 3$
21429	Find the Difference Quotient	f(x) = natural log of x	$f (x) = \ln (x)$
21430	Evaluate the Limit	limit as x approaches 14 of (x-3)/(x-14)	$lim_{x \to 14} \frac{x - 3}{x - 14}$
21431	Find the Difference Quotient	f(x)=6-x^2	$f (x) = 6 - x^{2}$
21432	Find the Roots (Zeros)	f(x)=2(3^x)	$f (x) = 2 (3^{x})$
21433	Find the Roots (Zeros)	f(x) = square root of 5x+10	$f (x) = \sqrt{5 x + 10}$
21434	Find the Roots (Zeros)	f(x)=1/(x-1)	$f (x) = \frac{1}{x - 1}$
21435	Find the Roots (Zeros)	f(x)=x^0.666666	$f (x) = x^{0.666666}$
21436	Find the Roots (Zeros)	f(x) = square root of x-5	$f (x) = \sqrt{x - 5}$
21437	Find the Roots (Zeros)	f(x)=(5x-2)/3	$f (x) = \frac{5 x - 2}{3}$
21438	Use the Factor Theorem to Determine if +a=-1 is a Factor	f(x)=4-x^2 , a=-1	$f (x) = 4 - x^{2}$ , $a = - 1$
21439	Find the Roots (Zeros)	g(x) = square root of 1-x^2	$g (x) = \sqrt{1 - x^{2}}$
21440	Find the Roots (Zeros)	f(x)=x^3+3x^2-10x-1	$f (x) = x^{3} + 3 x^{2} - 10 x - 1$
21441	Find the Roots (Zeros)	f(x)=2x+2/(x-1)	$f (x) = 2 x + \frac{2}{x - 1}$
21442	Find the Roots (Zeros)	s(t)=28t-0.8t^2	$s (t) = 28 t - 0.8 t^{2}$
21443	Find the Roots (Zeros)	f(x)=sin(4x)	$f (x) = \sin (4 x)$
21444	Find the Roots (Zeros)	f(x)=-(2(x-2)^2)/((x(x-2))^2)	$f (x) = - \frac{2 {(x - 2)}^{2}}{{(x (x - 2))}^{2}}$
21445	Find the Difference Quotient	f(x)=(2x-1)^2	$f (x) = {(2 x - 1)}^{2}$
21446	Find the Difference Quotient	f(x)=4-3x^2	$f (x) = 4 - 3 x^{2}$
21447	Find the Roots (Zeros)	f(x)=9x^4-82x^2+9	$f (x) = 9 x^{4} - 82 x^{2} + 9$
21448	Find the Roots (Zeros)	f(x)=cos(x)-4	$f (x) = \cos (x) - 4$
21449	Find the Difference Quotient	f(x)=1/(2t)+1	$f (x) = \frac{1}{2 t} + 1$
21450	Evaluate the Limit	limit as h approaches 0 of ((x-h)^3-x^3)/h	$lim_{h \to 0} \frac{{(x - h)}^{3} - x^{3}}{h}$
21451	Find the Difference Quotient	f(x)=1/(x-1)	$f (x) = \frac{1}{x - 1}$
21452	Find the Difference Quotient	f(x)=2/(x^2)	$f (x) = \frac{2}{x^{2}}$
21453	Find the Difference Quotient	f(x)=3/2x^2	$f (x) = \frac{3}{2} x^{2}$
21454	Find the Difference Quotient	f(x)=4-2x^2	$f (x) = 4 - 2 x^{2}$
21455	Evaluate the Limit	limit as x approaches 3 of (x^2-9x+18)/(x-3)	$lim_{x \to 3} \frac{x^{2} - 9 x + 18}{x - 3}$
21456	Find the Difference Quotient	f(x)=4x+9	$f (x) = 4 x + 9$
21457	Find the Difference Quotient	f(x)=5-2x^2	$f (x) = 5 - 2 x^{2}$
21458	Find the Difference Quotient	f(x)=x natural log of x-x	$f (x) = x \ln (x) - x$
21459	Find the Difference Quotient	f(x)=-x^3	$f (x) = - x^{3}$
21460	Find the Difference Quotient	g(x)=3 square root of x+2	$g (x) = 3 \sqrt{x} + 2$
21461	Find the Difference Quotient	C(q)=0.1q^2+12q+400	$C (q) = 0.1 q^{2} + 12 q + 400$
21462	Find the Difference Quotient	f(x)=1/(1-x)	$f (x) = \frac{1}{1 - x}$
21463	Find the Difference Quotient	f(x)=1/5*(145-x)	$f (x) = \frac{1}{5} \cdot (145 - x)$
21464	Find the Difference Quotient	f(x)=(1-x)/(3+x)	$f (x) = \frac{1 - x}{3 + x}$
21465	Find the Difference Quotient	f(x)=8/(x+3)	$f (x) = \frac{8}{x + 3}$
21466	Find the Difference Quotient	f(x)=9/(x+7)	$f (x) = \frac{9}{x + 7}$
21467	Evaluate the Limit	limit as x approaches infinity of (1-3/x)^x	$lim_{x \to \infty} {(1 - \frac{3}{x})}^{x}$
21468	Find the Difference Quotient	H(x)=5/(6x^5)	$H (x) = \frac{5}{6 x^{5}}$
21469	Find the Difference Quotient	f(x)=(-4x^(1/2)-4/(x^(2/3)))(5x^(2/3)-1)	$f (x) = (- 4 x^{\frac{1}{2}} - \frac{4}{x^{\frac{2}{3}}}) (5 x^{\frac{2}{3}} - 1)$
21470	Find the Difference Quotient	f(x)=1/2x^2	$f (x) = \frac{1}{2} x^{2}$
21471	Find the Difference Quotient	f(x)=8/(3x)	$f (x) = \frac{8}{3 x}$
21472	Find the Difference Quotient	f(x)=7/(t^2)	$f (x) = \frac{7}{t^{2}}$
21473	Find the Difference Quotient	f(x)=7/( square root of x)	$f (x) = \frac{7}{\sqrt{x}}$
21474	Find the Difference Quotient	f(x)=5/(x+9)	$f (x) = \frac{5}{x + 9}$
21475	Find the Difference Quotient	f(x)=6/(x+10)	$f (x) = \frac{6}{x + 10}$
21476	Find the Difference Quotient	f(x)=x^(-1/2)	$f (x) = x^{- \frac{1}{2}}$
21477	Find the Difference Quotient	f(x)=x^(1/3)	$f (x) = x^{\frac{1}{3}}$
21478	Find the Difference Quotient	f(x)=x/(x+1)	$f (x) = \frac{x}{x + 1}$
21479	Find the Difference Quotient	f(x) = square root of x-3	$f (x) = \sqrt{x - 3}$
21480	Find the Difference Quotient	f(x) = square root of 4x+2	$f (x) = \sqrt{4 x + 2}$
21481	Find the Difference Quotient	f(x) = square root of x^2+1	$f (x) = \sqrt{x^{2} + 1}$
21482	Find the Difference Quotient	f(x) = square root of 2x	$f (x) = \sqrt{2 x}$
21483	Find the Difference Quotient	f(x) = square root of 2x-3	$f (x) = \sqrt{2 x - 3}$
21484	Find the Local Maxima and Minima	x^4-98x^2+2401	$x^{4} - 98 x^{2} + 2401$
21485	Find the Difference Quotient	f(x)=x^2+3x-7	$f (x) = x^{2} + 3 x - 7$
21486	Find the Difference Quotient	f(x)=-x^2+2x-6	$f (x) = - x^{2} + 2 x - 6$
21487	Find the Local Maxima and Minima	y=3x^5-5x^3+1	$y = 3 x^{5} - 5 x^{3} + 1$
21488	Find the Difference Quotient	f(x)=x^2-3x+5	$f (x) = x^{2} - 3 x + 5$
21489	Find the Difference Quotient	f(x)=-2x^2-x-3	$f (x) = - 2 x^{2} - x - 3$
21490	Find the Difference Quotient	f(x)=x^5	$f (x) = x^{5}$
21491	Find the Difference Quotient	f(x)=-3x^2-4x-3	$f (x) = - 3 x^{2} - 4 x - 3$
21492	Find the Difference Quotient	f(x)=3x^2-5x	$f (x) = 3 x^{2} - 5 x$
21493	Determine if Continuous	f(x)=(x+2)/(x^2+6x+8)	$f (x) = \frac{x + 2}{x^{2} + 6 x + 8}$
21494	Find the Difference Quotient	f(x)=3x-4	$f (x) = 3 x - 4$
21495	Find the Difference Quotient	f(x)=3x-7	$f (x) = 3 x - 7$
21496	Find the Difference Quotient	f(x)=x^2-2x-3	$f (x) = x^{2} - 2 x - 3$
21497	Find the Difference Quotient	f(x)=4x^2-5	$f (x) = 4 x^{2} - 5$
21498	Find the Difference Quotient	f(x)=6x^2+3	$f (x) = 6 x^{2} + 3$
21499	Evaluate from the Right	limit as x approaches 0 of 1/x	$lim_{x \to 0} \frac{1}{x}$
21500	Find the Difference Quotient	f(x)=x^2-8	$f (x) = x^{2} - 8$