Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
66301	Find dy/dx	y = natural log of 1/(x square root of x+8)	$y = \ln (\frac{1}{x \sqrt{x + 8}})$
66302	Find dy/dx	y = natural log of cos(x)	$y = \ln (\cos (x))$
66303	Find dy/dx	y = natural log of x^2+y^2	$y = \ln (x^{2} + y^{2})$
66304	Find dy/dx	y = natural log of 2x^2	$y = \ln (2 x^{2})$
66305	Find dy/dx	y = natural log of 6x	$y = \ln (6 x)$
66306	Find dy/dx	y=cos(8x^2-x)^4	$y = \cos^{4} (8 x^{2} - x)$
66307	Find dy/dx	y=(xsin(x))/(3+cos(x))	$y = \frac{x \sin (x)}{3 + \cos (x)}$
66308	Find dy/dx	y=(xsin(x))/(5+cos(x))	$y = \frac{x \sin (x)}{5 + \cos (x)}$
66309	Find dy/dx	y=(x^5)/(x^3)	$y = \frac{x^{5}}{x^{3}}$
66310	Find dy/dx	y=(x-6)/( square root of x- square root of 6)	$y = \frac{x - 6}{\sqrt{x} - \sqrt{6}}$
66311	Find dy/dx	y=x/(x^2+3)	$y = \frac{x}{x^{2} + 3}$
66312	Find dy/dx	y=(x^2+2)( natural log of x^2+1)	$y = (x^{2} + 2) (\ln (x^{2} + 1))$
66313	Find dy/dx	y=(x^2+2)^3	$y = {(x^{2} + 2)}^{3}$
66314	Find dy/dx	y=(x^2+5)^3	$y = {(x^{2} + 5)}^{3}$
66315	Find dy/dx	y=(x^2-2x+10)e^x	$y = (x^{2} - 2 x + 10) e^{x}$
66316	Find dy/dx	y=(x-1)/(x+1)	$y = \frac{x - 1}{x + 1}$
66317	Find dy/dx	y=(x-10)/( square root of x- square root of 10)	$y = \frac{x - 10}{\sqrt{x} - \sqrt{10}}$
66318	Find dy/dx	y=(x-14)/( square root of x- square root of 14)	$y = \frac{x - 14}{\sqrt{x} - \sqrt{14}}$
66319	Find dy/dx	y=(e^(3x)+e^(-3x))/x	$y = \frac{e^{3 x} + e^{- 3 x}}{x}$
66320	Find dy/dx	y=(e^x)/( natural log of x)	$y = \frac{e^{x}}{\ln (x)}$
66321	Find dy/dx	y=(9cos(x))/(1+sin(x))	$y = \frac{9 \cos (x)}{1 + \sin (x)}$
66322	Find dy/dx	y = natural log of 3x+1cos(2x+4)	$y = \ln (3 x + 1) \cos (2 x + 4)$
66323	Find dy/dx	y = cube root of x^2	$y = \sqrt[3]{x^{2}}$
66324	Find dy/dx	y = log base 9 of (x^2)/(10 square root of x+1)	$y = \log_{9} (\frac{x^{2}}{10 \sqrt{x + 1}})$
66325	Find dy/dx	y = square root of x/(x+8)	$y = \sqrt{\frac{x}{x + 8}}$
66326	Find dy/dx	y=sin(x)tan(x)	$y = \sin (x) \tan (x)$
66327	Find dy/dx	y=sin(x^2)	$y = \sin (x^{2})$
66328	Find dy/dx	y=sin(x)^3	$y = \sin^{3} (x)$
66329	Find dy/dx	y=sin(x)^5	$y = \sin^{5} (x)$
66330	Find dy/dx	y=sin(2x)	$y = \sin (2 x)$
66331	Find dy/dx	y = eighth root of 7x	$y = \sqrt[8]{7 x}$
66332	Find dy/dx	y = square root of -6+7x	$y = \sqrt{- 6 + 7 x}$
66333	Find dy/dx	y = square root of 4-9x	$y = \sqrt{4 - 9 x}$
66334	Find dy/dx	y = square root of 5+3x	$y = \sqrt{5 + 3 x}$
66335	Find dy/dx	y = square root of 7+5x	$y = \sqrt{7 + 5 x}$
66336	Find dy/dx	y = square root of -8+3x	$y = \sqrt{- 8 + 3 x}$
66337	Find dy/dx	y = square root of -8-3x	$y = \sqrt{- 8 - 3 x}$
66338	Find dy/dx	y = square root of e^x+7	$y = \sqrt{e^{x} + 7}$
66339	Find dy/dx	y = square root of sin(x)+y	$y = \sqrt{\sin (x) + y}$
66340	Find dy/dx	y = square root of 15+x^2	$y = \sqrt{15 + x^{2}}$
66341	Find dy/dx	y = square root of 2+cos(2x)	$y = \sqrt{2 + \cos (2 x)}$
66342	Find dy/dx	y = square root of -2+5x	$y = \sqrt{- 2 + 5 x}$
66343	Find dy/dx	y = square root of 2-5x	$y = \sqrt{2 - 5 x}$
66344	Find dy/dx	y = square root of 3+7x	$y = \sqrt{3 + 7 x}$
66345	Find dy/dx	y = square root of 3-5x	$y = \sqrt{3 - 5 x}$
66346	Find dy/dx	y = square root of 3x	$y = \sqrt{3 x}$
66347	Evaluate the Summation	sum from i=1 to 3 of (-3/10)^i	$\sum_{i = 1}^{3} {(- \frac{3}{10})}^{i}$
66348	Evaluate the Summation	sum from i=1 to 3 of (i+2)^i	$\sum_{i = 1}^{3} {(i + 2)}^{i}$
66349	Evaluate the Summation	sum from i=1 to 3 of 5^i	$\sum_{i = 1}^{3} 5^{i}$
66350	Evaluate the Summation	sum from i=1 to 3 of i^i	$\sum_{i = 1}^{3} i^{i}$
66351	Evaluate the Summation	sum from i=1 to 30 of -2i+3	$\sum_{i = 1}^{30} - 2 i + 3$
66352	Evaluate the Summation	sum from i=1 to 50 of 3i+1	$\sum_{i = 1}^{50} 3 i + 1$
66353	Evaluate the Summation	sum from i=1 to 50 of 2i^2	$\sum_{i = 1}^{50} 2 i^{2}$
66354	Evaluate the Summation	sum from i=1 to 72 of i/4	$\sum_{i = 1}^{72} \frac{i}{4}$
66355	Evaluate the Summation	sum from i=1 to 5 of ((-1)^i)/((i+1)!)	$\sum_{i = 1}^{5} \frac{{(- 1)}^{i}}{(i + 1)!}$
66356	Evaluate the Summation	sum from i=1 to 5 of 2i-3	$\sum_{i = 1}^{5} 2 i - 3$
66357	Evaluate the Summation	sum from i=1 to 4 of (1/3)^(i-1)	$\sum_{i = 1}^{4} {(\frac{1}{3})}^{i - 1}$
66358	Evaluate the Summation	sum from i=1 to 4 of 1/(3i)	$\sum_{i = 1}^{4} \frac{1}{3 i}$
66359	Evaluate the Summation	sum from i=1 to 4 of 4i+1	$\sum_{i = 1}^{4} 4 i + 1$
66360	Evaluate the Summation	sum from i=1 to 6 of (1/3)^(i-1)	$\sum_{i = 1}^{6} {(\frac{1}{3})}^{i - 1}$
66361	Evaluate the Summation	sum from i=1 to 6 of 1/6*3^i	$\sum_{i = 1}^{6} \frac{1}{6} \cdot 3^{i}$
66362	Evaluate the Summation	sum from i=1 to 6 of 2i+4	$\sum_{i = 1}^{6} 2 i + 4$
66363	Evaluate the Summation	sum from i=1 to 5 of 6 square root of i	$\sum_{i = 1}^{5} 6 \sqrt{i}$
66364	Evaluate the Summation	sum from i=1 to 5 of 5 square root of i	$\sum_{i = 1}^{5} 5 \sqrt{i}$
66365	Evaluate the Summation	sum from i=1 to 6 of 5	$\sum_{i = 1}^{6} 5$
66366	Evaluate the Summation	sum from i=1 to 6 of 2-i-i^2	$\sum_{i = 1}^{6} 2 - i - i^{2}$
66367	Evaluate the Summation	sum from i=1 to 6 of 9i-2	$\sum_{i = 1}^{6} 9 i - 2$
66368	Evaluate the Summation	sum from i=1 to 6 of 8i+3	$\sum_{i = 1}^{6} 8 i + 3$
66369	Evaluate the Summation	sum from i=1 to 5 of 4(-3)^i	$\sum_{i = 1}^{5} 4 {(- 3)}^{i}$
66370	Evaluate the Summation	sum from i=1 to 5 of 3*2^i	$\sum_{i = 1}^{5} 3 \cdot 2^{i}$
66371	Evaluate the Summation	sum from i=1 to 5 of 2 square root of i	$\sum_{i = 1}^{5} 2 \sqrt{i}$
66372	Evaluate the Summation	sum from i=1 to 5 of (-3)^i	$\sum_{i = 1}^{5} {(- 3)}^{i}$
66373	Evaluate the Summation	sum from i=1 to 5 of -3*2^i	$\sum_{i = 1}^{5} - 3 \cdot 2^{i}$
66374	Evaluate the Summation	sum from i=1 to 5 of 3^i-4	$\sum_{i = 1}^{5} 3^{i} - 4$
66375	Evaluate the Summation	sum from i=1 to 5 of 4/3*4^i	$\sum_{i = 1}^{5} \frac{4}{3} \cdot 4^{i}$
66376	Evaluate the Summation	sum from i=1 to 5 of 4i+3	$\sum_{i = 1}^{5} 4 i + 3$
66377	Evaluate the Summation	sum from i=1 to 5 of 4i-9	$\sum_{i = 1}^{5} 4 i - 9$
66378	Evaluate the Summation	sum from i=3 to 7 of -(-2/3)^(i-1)	$\sum_{i = 3}^{7} - {(- \frac{2}{3})}^{i - 1}$
66379	Evaluate the Summation	sum from i=4 to 12 of -4-6i	$\sum_{i = 4}^{12} - 4 - 6 i$
66380	Evaluate the Summation	sum from i=4 to 12 of -6-5i	$\sum_{i = 4}^{12} - 6 - 5 i$
66381	Evaluate the Summation	sum from i=4 to 12 of -6-7i	$\sum_{i = 4}^{12} - 6 - 7 i$
66382	Evaluate the Summation	sum from i=4 to 8 of 3i-2	$\sum_{i = 4}^{8} 3 i - 2$
66383	Evaluate the Summation	sum from i=8 to 6 of (i-1)^2	$\sum_{i = 8}^{6} {(i - 1)}^{2}$
66384	Evaluate the Summation	sum from j=1 to 5 of sin((jpi)/2)+3j-4	$\sum_{j = 1}^{5} \sin (\frac{j π}{2}) + 3 j - 4$
66385	Evaluate the Summation	sum from j=0 to 4 of (-1)^j	$\sum_{j = 0}^{4} {(- 1)}^{j}$
66386	Evaluate the Summation	sum from j=1 to 10 of 3j+5	$\sum_{j = 1}^{10} 3 j + 5$
66387	Evaluate the Summation	sum from j=1 to 9 of (-4)^j	$\sum_{j = 1}^{9} {(- 4)}^{j}$
66388	Evaluate the Summation	sum from k=0 to 3 of k^2+4	$\sum_{k = 0}^{3} k^{2} + 4$
66389	Evaluate the Summation	sum from k=0 to 6 of c	$\sum_{k = 0}^{6} c$
66390	Evaluate the Summation	sum from j=1 to 5 of 3j-7	$\sum_{j = 1}^{5} 3 j - 7$
66391	Evaluate the Summation	sum from j=1 to 6 of (-1)^jj	$\sum_{j = 1}^{6} {(- 1)}^{j} j$
66392	Evaluate the Summation	sum from j=1 to 6 of 5j^2	$\sum_{j = 1}^{6} 5 j^{2}$
66393	Evaluate the Summation	sum from j=3 to 5 of 1/(j^2-3)	$\sum_{j = 3}^{5} \frac{1}{j^{2} - 3}$
66394	Evaluate the Summation	sum from k=0 to 2 of 12(-1/2)^k	$\sum_{k = 0}^{2} 12 {(- \frac{1}{2})}^{k}$
66395	Evaluate the Summation	sum from k=0 to 3 of (-1/2)^k	$\sum_{k = 0}^{3} {(- \frac{1}{2})}^{k}$
66396	Evaluate the Summation	sum from J=1 to 6 of 9J^2	$\sum_{J = 1}^{6} 9 J^{2}$
66397	Evaluate the Summation	sum from j=1 to 8 of (-1)^jj	$\sum_{j = 1}^{8} {(- 1)}^{j} j$
66398	Evaluate the Summation	sum from i=1 to n of (5+2i)^2	$\sum_{i = 1}^{n} {(5 + 2 i)}^{2}$
66399	Evaluate the Summation	sum from i=1 to n of 6/(n^3)(1+i^2)	$\sum_{i = 1}^{n} \frac{6}{n^{3}} (1 + i^{2})$
66400	Evaluate the Summation	sum from i=1 to n of x	$\sum_{i = 1}^{n} x$