Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
9301	Use the Limit Definition to Find the Derivative	f(x) = square root of 3x-1	$f (x) = \sqrt{3 x - 1}$
9302	Find the Derivative - d/dx	16 square root of x	$16 \sqrt{x}$
9303	Use the Limit Definition to Find the Derivative	f(x)=(6-3x^2-9x^3)/(12x^3+4x+5)	$f (x) = \frac{6 - 3 x^{2} - 9 x^{3}}{12 x^{3} + 4 x + 5}$
9304	Use the Limit Definition to Find the Derivative	y=x^3	$y = x^{3}$
9305	Use the Limit Definition to Find the Derivative	y=-x^2+x	$y = - x^{2} + x$
9306	Find the Concavity	f(x)=x/(x^2+16)	$f (x) = \frac{x}{x^{2} + 16}$
9307	Find the Concavity	f(x)=(2x^2)/(x^2+3)	$f (x) = \frac{2 x^{2}}{x^{2} + 3}$
9308	Find the Concavity	f(x)=((x-4)^2)/((x-2)^2)	$f (x) = \frac{{(x - 4)}^{2}}{{(x - 2)}^{2}}$
9309	Find the Concavity	f(x)=(x-5)^4	$f (x) = {(x - 5)}^{4}$
9310	Find the Derivative - d/d@VAR	f(x)=3/4x+1/3	$f (x) = \frac{3}{4} x + \frac{1}{3}$
9311	Find the Derivative - d/dx	y=e^x natural log of x	$y = e^{x} \ln (x)$
9312	Find the Derivative - d/dx	y=13^x	$y = 13^{x}$
9313	Find the Concavity	f(x)=(x^2+1)/(x^2-4)	$f (x) = \frac{x^{2} + 1}{x^{2} - 4}$
9314	Find the Concavity	f(x)=1/2x^4-4x^2	$f (x) = \frac{1}{2} x^{4} - 4 x^{2}$
9315	Find the Concavity	f(x)=1/(1+x^2)	$f (x) = \frac{1}{1 + x^{2}}$
9316	Find the Concavity	f(x)=1/x	$f (x) = \frac{1}{x}$
9317	Find the Concavity	f(x)=x^4-2x^2	$f (x) = x^{4} - 2 x^{2}$
9318	Find the Concavity	f(x)=x^3-6x^2+9x+1	$f (x) = x^{3} - 6 x^{2} + 9 x + 1$
9319	Find the Concavity	f(x)=x^4-2x^2+3	$f (x) = x^{4} - 2 x^{2} + 3$
9320	Find the Concavity	f(x)=x^4-24x^2	$f (x) = x^{4} - 24 x^{2}$
9321	Find the Concavity	f(x)=x^3-3x+3	$f (x) = x^{3} - 3 x + 3$
9322	Find dy/dx	y=( square root of x-1)/( square root of x+1)	$y = \frac{\sqrt{x} - 1}{\sqrt{x} + 1}$
9323	Find dy/dx	5-2xy=7x-3y	$5 - 2 x y = 7 x - 3 y$
9324	Find the Concavity	f(x)=x^3-3x^2-24x+32	$f (x) = x^{3} - 3 x^{2} - 24 x + 32$
9325	Find the Concavity	f(x)=x^3-12x	$f (x) = x^{3} - 12 x$
9326	Find the Concavity	F(x)=x^3-12x	$F (x) = x^{3} - 12 x$
9327	Find the Concavity	f(x)=x^2+10x-9	$f (x) = x^{2} + 10 x - 9$
9328	Find the Concavity	f(x)=x^3+3x^2-x-24	$f (x) = x^{3} + 3 x^{2} - x - 24$
9329	Find the Concavity	f(x)=x/(x^2+9)	$f (x) = \frac{x}{x^{2} + 9}$
9330	Find the Inflection Points	y=4x^3-48x-6	$y = 4 x^{3} - 48 x - 6$
9331	Find the Concavity	(x^2-1)^3	${(x^{2} - 1)}^{3}$
9332	Find the Inflection Points	y=x^4-6x^2	$y = x^{4} - 6 x^{2}$
9333	Find the Inflection Points	y=2x^3-24x-5	$y = 2 x^{3} - 24 x - 5$
9334	Find the Inflection Points	y=2x^3-24x-7	$y = 2 x^{3} - 24 x - 7$
9335	Find the Inflection Points	y=4x^3-48x-1	$y = 4 x^{3} - 48 x - 1$
9336	Find the Concavity	(x^3)/3-2x^2-12x	$\frac{x^{3}}{3} - 2 x^{2} - 12 x$
9337	Find the Concavity	e^(-(x^2)/32)	$e^{- \frac{x^{2}}{32}}$
9338	Find the Concavity	x^3-12x	$x^{3} - 12 x$
9339	Find the Concavity	x^4-2x^2+3	$x^{4} - 2 x^{2} + 3$
9340	Find the Concavity	4x^3-45x^2+150x	$4 x^{3} - 45 x^{2} + 150 x$
9341	Find the Concavity	f(x)=4x^3-45x^2+150x	$f (x) = 4 x^{3} - 45 x^{2} + 150 x$
9342	Evaluate the Limit	limit as theta approaches 0 of (cos(theta-1)^2)/theta	$lim_{θ \to 0} \frac{\cos^{2} (θ - 1)}{θ}$
9343	Find the Concavity	f(x)=4x^3-48x-1	$f (x) = 4 x^{3} - 48 x - 1$
9344	Find the Concavity	f(x)=3x^5-10x^3+15x	$f (x) = 3 x^{5} - 10 x^{3} + 15 x$
9345	Find the Concavity	f(x)=3x^4+8x^3	$f (x) = 3 x^{4} + 8 x^{3}$
9346	Find the Concavity	f(x)=10x^3-3x^5	$f (x) = 10 x^{3} - 3 x^{5}$
9347	Find the Concavity	f(x)=(x+2)/(x-2)	$f (x) = \frac{x + 2}{x - 2}$
9348	Find the Concavity	y=-x^4+4x^3-4x+3	$y = - x^{4} + 4 x^{3} - 4 x + 3$
9349	Find the Concavity	y=x^3-2x^2-4x+4	$y = x^{3} - 2 x^{2} - 4 x + 4$
9350	Find the Concavity	y=(x^3)/3-3x^2-7x	$y = \frac{x^{3}}{3} - 3 x^{2} - 7 x$
9351	Find the Concavity	y=(x^3)/3-2x^2-5x	$y = \frac{x^{3}}{3} - 2 x^{2} - 5 x$
9352	Find the Concavity	y=-x^3+3x^2-2	$y = - x^{3} + 3 x^{2} - 2$
9353	Find the Concavity	f(x)=x square root of 3-x	$f (x) = x \sqrt{3 - x}$
9354	Find the Concavity	f(x)=x+1/x	$f (x) = x + \frac{1}{x}$
9355	Find the Concavity	g(x)=3x^2-x^3	$g (x) = 3 x^{2} - x^{3}$
9356	Find the Concavity	y=-x^4+16x^3-16x+2	$y = - x^{4} + 16 x^{3} - 16 x + 2$
9357	Find the Concavity	y=4x^2-x-6	$y = 4 x^{2} - x - 6$
9358	Find the Concavity	y=5x^2-x-9	$y = 5 x^{2} - x - 9$
9359	Find the Concavity	y=x square root of 4-x	$y = x \sqrt{4 - x}$
9360	Find Where the Mean Value Theorem is Satisfied	f(x)=3x^2-6x-5 , [-2,1]	$f (x) = 3 x^{2} - 6 x - 5$ , $[- 2, 1]$
9361	Find Where the Mean Value Theorem is Satisfied	f(x)=4x^2-2x+3 , [0,2]	$f (x) = 4 x^{2} - 2 x + 3$ , $[0, 2]$
9362	Find the Inflection Points	f(x)=1/((2x-5)^(1/3))	$f (x) = \frac{1}{{(2 x - 5)}^{\frac{1}{3}}}$
9363	Find the Inflection Points	f(x)=3/(x-5)	$f (x) = \frac{3}{x - 5}$
9364	Find the Inflection Points	f(x)=6/(x-5)	$f (x) = \frac{6}{x - 5}$
9365	Evaluate the Limit	limit as x approaches infinity of ( square root of x+3x^2)/(4x-1)	$lim_{x \to \infty} \frac{\sqrt{x + 3 x^{2}}}{4 x - 1}$
9366	Find the Inflection Points	2x^3+3x^2-12x	$2 x^{3} + 3 x^{2} - 12 x$
9367	Find the Inflection Points	2x^3+3x^2-36x	$2 x^{3} + 3 x^{2} - 36 x$
9368	Find the Inflection Points	x^4-4x^3	$x^{4} - 4 x^{3}$
9369	Find the Inflection Points	6x	$6 x$
9370	Find the Inflection Points	6x-12	$6 x - 12$
9371	Find Where Increasing/Decreasing Using Derivatives	y=x^3-8x^2-12x+6	$y = x^{3} - 8 x^{2} - 12 x + 6$
9372	Find Where Increasing/Decreasing Using Derivatives	y=x-4 natural log of 3x-4	$y = x - 4 \ln (3 x - 4)$
9373	Find Where Increasing/Decreasing Using Derivatives	y=8x^3-18x^2-24x+9	$y = 8 x^{3} - 18 x^{2} - 24 x + 9$
9374	Find Where Increasing/Decreasing Using Derivatives	y=4x^3-51x^2-180x+11	$y = 4 x^{3} - 51 x^{2} - 180 x + 11$
9375	Find the Inflection Points	f(x)=x^3-6x^2+2x+12	$f (x) = x^{3} - 6 x^{2} + 2 x + 12$
9376	Determine if Continuous	f(x) = square root of 2x^2-x-1	$f (x) = \sqrt{2 x^{2} - x - 1}$
9377	Find the Inflection Points	f(x)=x^3-6x^2+9x+1	$f (x) = x^{3} - 6 x^{2} + 9 x + 1$
9378	Find the Horizontal Tangent Line	f(x)=x^3	$f (x) = x^{3}$
9379	Find the Inflection Points	f(x)=x^4-12x^3	$f (x) = x^{4} - 12 x^{3}$
9380	Find the Inflection Points	f(x)=x^4+8x^3	$f (x) = x^{4} + 8 x^{3}$
9381	Find the Inflection Points	f(x)=x^3-20x^2+100x	$f (x) = x^{3} - 20 x^{2} + 100 x$
9382	Find the Inflection Points	f(x)=x^3-3x^2+1	$f (x) = x^{3} - 3 x^{2} + 1$
9383	Find the Inflection Points	f(x)=x^3-3x+2	$f (x) = x^{3} - 3 x + 2$
9384	Find the Inflection Points	f(x)=-x^3+9x^2-53	$f (x) = - x^{3} + 9 x^{2} - 53$
9385	Find the Inflection Points	f(x)=x^3-12x^2+2x+15	$f (x) = x^{3} - 12 x^{2} + 2 x + 15$
9386	Find the Inflection Points	f(x)=x^3+30x^2	$f (x) = x^{3} + 30 x^{2}$
9387	Find the Inflection Points	f(x)=2x^3-15x^2+24x	$f (x) = 2 x^{3} - 15 x^{2} + 24 x$
9388	Find the Inflection Points	f(x)=2x^3-24x-2	$f (x) = 2 x^{3} - 24 x - 2$
9389	Find the Inflection Points	f(x)=15x^4-90x^2	$f (x) = 15 x^{4} - 90 x^{2}$
9390	Find the Inflection Points	f(x)=20x^4-120x^2	$f (x) = 20 x^{4} - 120 x^{2}$
9391	Find the Inflection Points	f(x)=2x^4-12x^2	$f (x) = 2 x^{4} - 12 x^{2}$
9392	Find the Inflection Points	f(x)=2x(x+4)^3	$f (x) = 2 x {(x + 4)}^{3}$
9393	Find the Inflection Points	f(x)=x^4-8x^3+6x^2+9x-5	$f (x) = x^{4} - 8 x^{3} + 6 x^{2} + 9 x - 5$
9394	Find the Inflection Points	f(x)=x^4-2x^2+9	$f (x) = x^{4} - 2 x^{2} + 9$
9395	Find the Inflection Points	f(x)=x^4-2x^3+6	$f (x) = x^{4} - 2 x^{3} + 6$
9396	Find the Inflection Points	f(x)=x^4-4x^3+7	$f (x) = x^{4} - 4 x^{3} + 7$
9397	Find the Inflection Points	f(x)=10x^6-13x^5	$f (x) = 10 x^{6} - 13 x^{5}$
9398	Find the Inflection Points	f(x)=17x^4-102x^2	$f (x) = 17 x^{4} - 102 x^{2}$
9399	Find the Inflection Points	y=x/(x^2+25)	$y = \frac{x}{x^{2} + 25}$
9400	Find the Inflection Points	y=1/3x^3-2x^2+3x+2	$y = \frac{1}{3} x^{3} - 2 x^{2} + 3 x + 2$