Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
14301	Evaluate the Limit	limit as x approaches 6 of x/(x^2-36)	$lim_{x \to 6} \frac{x}{x^{2} - 36}$
14302	Find the Derivative - d/dx	y=-2x^3	$y = - 2 x^{3}$
14303	Find the Derivative - d/dx	y=2x^3+6x^2	$y = 2 x^{3} + 6 x^{2}$
14304	Find the Derivative - d/dx	y=2x^3-7x^2+8x+9	$y = 2 x^{3} - 7 x^{2} + 8 x + 9$
14305	Find the Derivative - d/dx	y=2x^3-3x^2-12x+20	$y = 2 x^{3} - 3 x^{2} - 12 x + 20$
14306	Find the Derivative - d/dx	y=2x^3-3x	$y = 2 x^{3} - 3 x$
14307	Find the Derivative - d/dx	y=2x^4	$y = 2 x^{4}$
14308	Find the Derivative - d/dx	y=2x^2+6x-5	$y = 2 x^{2} + 6 x - 5$
14309	Find the Derivative - d/dx	y=2x^2e^(-x)	$y = 2 x^{2} e^{- x}$
14310	Find the Derivative - d/dx	y=2e^(-x)+e^(3x)	$y = 2 e^{- x} + e^{3 x}$
14311	Find the Derivative - d/dx	y=2e^(-x)	$y = 2 e^{- x}$
14312	Find the Derivative - d/dx	y=2arcsin(3x)	$y = 2 \arcsin (3 x)$
14313	Find the Derivative - d/dx	y=2sin(x)^3	$y = 2 \sin^{3} (x)$
14314	Find the Derivative - d/dx	y=15x^-2-3x^3+14x	$y = 15 x^{- 2} - 3 x^{3} + 14 x$
14315	Find the Derivative - d/dx	y=13x-x^2	$y = 13 x - x^{2}$
14316	Find the Derivative - d/dx	y=16arcsin(x/4)-x square root of 16-x^2	$y = 16 \arcsin (\frac{x}{4}) - x \sqrt{16 - x^{2}}$
14317	Find the Derivative - d/dx	y=16x-5x^4	$y = 16 x - 5 x^{4}$
14318	Find the Derivative - d/dx	y=11cos(x)sin(x)	$y = 11 \cos (x) \sin (x)$
14319	Find the Derivative - d/dx	y=12x^3-8x^2+7x+5	$y = 12 x^{3} - 8 x^{2} + 7 x + 5$
14320	Find the Derivative - d/dx	y=2e^(4x)	$y = 2 e^{4 x}$
14321	Find the Derivative - d/dx	y=2csc( square root of x)^3	$y = 2 \csc^{3} (\sqrt{x})$
14322	Find the Derivative - d/dx	y=2e^(-4x+2)	$y = 2 e^{- 4 x + 2}$
14323	Find the Derivative - d/dx	y=2e^(5x^2)	$y = 2 e^{5 x^{2}}$
14324	Find the Derivative - d/dx	y=2e^(3x)	$y = 2 e^{3 x}$
14325	Find the Derivative - d/dx	y=2e^(3x)+1	$y = 2 e^{3 x} + 1$
14326	Find the Derivative - d/dx	y=2e^( square root of 5x)	$y = 2 e^{\sqrt{5 x}}$
14327	Find the Derivative - d/dx	y=2.3+3.4x-1.2x^2	$y = 2.3 + 3.4 x - 1.2 x^{2}$
14328	Find the Derivative - d/dx	y=-16e^(2x+1)	$y = - 16 e^{2 x + 1}$
14329	Find the Derivative - d/dx	y=1-cos(2x)+2cos(x)^2	$y = 1 - \cos (2 x) + 2 \cos^{2} (x)$
14330	Find the Derivative - d/dx	y=1-7x	$y = 1 - 7 x$
14331	Find the Derivative - d/dx	y=3(cos(x)+sin(x))*(cos(x)-sin(x))	$y = 3 (\cos (x) + \sin (x)) \cdot (\cos (x) - \sin (x))$
14332	Find the Derivative - d/dx	y=3*4^(x^2+2)	$y = 3 \cdot 4^{x^{2} + 2}$
14333	Find the Derivative - d/dx	y=3(2-x^2)^4	$y = 3 {(2 - x^{2})}^{4}$
14334	Find the Derivative - d/dx	y=3(4-x^2)^5	$y = 3 {(4 - x^{2})}^{5}$
14335	Find the Derivative - d/dx	y=3(4x+ natural log of (x^2)^2)	$y = 3 (4 x + \ln ({(x^{2})}^{2}))$
14336	Find the Derivative - d/dx	y=-3(x^4+7x^2)^3	$y = - 3 {(x^{4} + 7 x^{2})}^{3}$
14337	Find the Derivative - d/dx	y=3cot(x)^5	$y = 3 \cot^{5} (x)$
14338	Find the Derivative - d/dx	y=3e^(x^2)	$y = 3 e^{x^{2}}$
14339	Find the Derivative - d/dx	y=3e^(6/x)	$y = 3 e^{\frac{6}{x}}$
14340	Find the Derivative - d/dx	y=3e^(4x)+ log base 5 of 7x	$y = 3 e^{4 x} + \log_{5} (7 x)$
14341	Find the Derivative - d/dx	y=3e^(2x)arcsin(x)	$y = 3 e^{2 x} \arcsin (x)$
14342	Find the Derivative - d/dx	y=3e^x-7x	$y = 3 e^{x} - 7 x$
14343	Find the Derivative - d/dx	y=3 cube root of 2x^2+1	$y = 3 \sqrt[3]{2 x^{2} + 1}$
14344	Find the Derivative - d/dx	y=3e^x	$y = 3 e^{x}$
14345	Find the Derivative - d/dx	y=3arctan(x+ square root of 1+x^2)	$y = 3 \arctan (x + \sqrt{1 + x^{2}})$
14346	Find the Derivative - d/dx	y=3x^2(2x+1)	$y = 3 x^{2} (2 x + 1)$
14347	Find the Derivative - d/dx	y=3x^2+7e^(2x)	$y = 3 x^{2} + 7 e^{2 x}$
14348	Find the Derivative - d/dx	y=2xarccos(x)-2 square root of 1-x^2	$y = 2 x \arccos (x) - 2 \sqrt{1 - x^{2}}$
14349	Find the Derivative - d/dx	y=3x^2+1	$y = 3 x^{2} + 1$
14350	Find the Derivative - d/dx	y=3x^2e^x	$y = 3 x^{2} e^{x}$
14351	Find the Derivative - d/dx	y=3x^2-2	$y = 3 x^{2} - 2$
14352	Find the Derivative - d/dx	y=3x^2-4x+3	$y = 3 x^{2} - 4 x + 3$
14353	Find the Derivative - d/dx	y=3x^3(4x^4-5x^3)	$y = 3 x^{3} (4 x^{4} - 5 x^{3})$
14354	Find the Derivative - d/dx	y=3x^2-6	$y = 3 x^{2} - 6$
14355	Find the Derivative - d/dx	y=2sin(x/2)+8cos(x/2)	$y = 2 \sin (\frac{x}{2}) + 8 \cos (\frac{x}{2})$
14356	Find the Derivative - d/dx	y=2sec(x)tan(x)	$y = 2 \sec (x) \tan (x)$
14357	Find the Derivative - d/dx	y=2sin(x)-cos(x)^2	$y = 2 \sin (x) - \cos^{2} (x)$
14358	Find the Derivative - d/dx	y=2cos(x)+sin(2x)	$y = 2 \cos (x) + \sin (2 x)$
14359	Find the Derivative - d/dx	y=2sin(2x)	$y = 2 \sin (2 x)$
14360	Find the Derivative - d/dx	y=2x( square root of x-x^2+3x-5)	$y = 2 x (\sqrt{x} - x^{2} + 3 x - 5)$
14361	Find the Derivative - d/dx	y=2xsin(x)+x^2cos(x)	$y = 2 x \sin (x) + x^{2} \cos (x)$
14362	Find the Derivative - d/dx	y=2x natural log of x+x	$y = 2 x \ln (x) + x$
14363	Find the Derivative - d/dx	y=2x log of square root of x	$y = 2 x \log (\sqrt{x})$
14364	Find the Derivative - d/dx	y=2sin(x)-3cos(x)	$y = 2 \sin (x) - 3 \cos (x)$
14365	Find the Derivative - d/dx	y=2x+4	$y = 2 x + 4$
14366	Find the Derivative - d/dx	y=2x+ log of 2x	$y = 2 x + \log (2) x$
14367	Find the Derivative - d/dx	y=2x square root of x^2-2x+2	$y = 2 x \sqrt{x^{2} - 2 x + 2}$
14368	Find the Derivative - d/dx	y=2cos(5x)	$y = 2 \cos (5 x)$
14369	Find the Derivative - d/dx	y=2cos(2x)	$y = 2 \cos (2 x)$
14370	Find the Derivative - d/dx	y=2xe^(-kx)	$y = 2 x e^{- k x}$
14371	Find the Derivative - d/dx	y=2+27x-x^3	$y = 2 + 27 x - x^{3}$
14372	Find the Derivative - d/dx	y=2-3x	$y = 2 - 3 x$
14373	Find the Derivative - d/dx	y=2cos(x)tan(x)	$y = 2 \cos (x) \tan (x)$
14374	Find the Derivative - d/dx	y=25arcsin(x/5)-x square root of 25-x^2	$y = 25 \arcsin (\frac{x}{5}) - x \sqrt{25 - x^{2}}$
14375	Find the Derivative - d/dx	y=2+0.8x-0.2x^2	$y = 2 + 0.8 x - 0.2 x^{2}$
14376	Find the Derivative - d/dx	y=20x+9cos(x)	$y = 20 x + 9 \cos (x)$
14377	Find the Derivative - d/dx	y=22e^( square root of x)	$y = 22 e^{\sqrt{x}}$
14378	Find the Derivative - d/dx	y=5x^2-5 square root of x-3/x	$y = 5 x^{2} - 5 \sqrt{x} - \frac{3}{x}$
14379	Find the Derivative - d/dx	y=5x^3-5x	$y = 5 x^{3} - 5 x$
14380	Find the Derivative - d/dx	y=5x^-4-3x^-1	$y = 5 x^{- 4} - 3 x^{- 1}$
14381	Find the Derivative - d/dx	y=5x^4	$y = 5 x^{4}$
14382	Find the Derivative - d/dx	y=5+sin(x)	$y = 5 + \sin (x)$
14383	Find the Derivative - d/dx	y=5sec(3x)+5x^3	$y = 5 \sec (3 x) + 5 x^{3}$
14384	Find the Derivative - d/dx	y=5xe^(5x)-e^(5x)	$y = 5 x e^{5 x} - e^{5 x}$
14385	Find the Derivative - d/dx	y=-5x^4+7	$y = - 5 x^{4} + 7$
14386	Find the Derivative - d/dx	y=5cos(x)sec(x^2)	$y = 5 \cos (x) \sec (x^{2})$
14387	Find the Derivative - d/dx	y=5csc(x)+7cos(x)	$y = 5 \csc (x) + 7 \cos (x)$
14388	Find the Derivative - d/dx	y=5x^(8/5)-3x^(5/6)+x^(1/3)+5	$y = 5 x^{\frac{8}{5}} - 3 x^{\frac{5}{6}} + x^{\frac{1}{3}} + 5$
14389	Find the Derivative - d/dx	y=5arctan(x- square root of 1+x^2)	$y = 5 \arctan (x - \sqrt{1 + x^{2}})$
14390	Find the Derivative - d/dx	y=5e^x	$y = 5 e^{x}$
14391	Find the Derivative - d/dx	y=-5e^(4x^3)	$y = - 5 e^{4 x^{3}}$
14392	Find the Derivative - d/dx	y=5e^(-x)+e^(3x)	$y = 5 e^{- x} + e^{3 x}$
14393	Find the Derivative - d/dx	y=5e^x+3	$y = 5 e^{x} + 3$
14394	Find the Derivative - d/dx	y=5x^2-6x	$y = 5 x^{2} - 6 x$
14395	Find the Derivative - d/dx	y=5x^2 natural log of x/4	$y = 5 x^{2} \ln (\frac{x}{4})$
14396	Find the Derivative - d/dx	y=5x^2+4x	$y = 5 x^{2} + 4 x$
14397	Find the Derivative - d/dx	y=4x^7sin(x)	$y = 4 x^{7} \sin (x)$
14398	Evaluate the Limit	limit as x approaches 7 of sec((pix)/6)	$lim_{x \to 7} \sec (\frac{π x}{6})$
14399	Find the Derivative - d/dx	y=4sin(x)tan(x)	$y = 4 \sin (x) \tan (x)$
14400	Find the Derivative - d/dx	y=4tan((pix)/8)	$y = 4 \tan (\frac{π x}{8})$