Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
16201	Find the Derivative - d/d@VAR	f(x)=x^2+x-17	$f (x) = x^{2} + x - 17$
16202	Find the Derivative - d/d@VAR	f(x)=x^2+2x-4	$f (x) = x^{2} + 2 x - 4$
16203	Find the Derivative - d/d@VAR	f(x)=x^2+6	$f (x) = x^{2} + 6$
16204	Find the Derivative - d/d@VAR	f(x)=x^2+7x	$f (x) = x^{2} + 7 x$
16205	Evaluate the Integral	integral of -1/x with respect to x	$\int - \frac{1}{x} d x$
16206	Find the Derivative - d/d@VAR	f(x)=x^3+6x^2+17x+12	$f (x) = x^{3} + 6 x^{2} + 17 x + 12$
16207	Find the Derivative - d/d@VAR	f(x)=x^3-12x-4	$f (x) = x^{3} - 12 x - 4$
16208	Find the Derivative - d/d@VAR	f(x)=x^3+2e^x	$f (x) = x^{3} + 2 e^{x}$
16209	Graph	f(x)=x/(x^2+49)	$f (x) = \frac{x}{x^{2} + 49}$
16210	Find the Derivative - d/d@VAR	f(x)=cos(h(2x))	$f (x) = \cosh (2 x)$
16211	Find the Derivative - d/d@VAR	f(x) = natural log of (x^5-12)/x	$f (x) = \ln (\frac{x^{5} - 12}{x})$
16212	Find the Derivative - d/d@VAR	f(x)=cot(-x)+sec(pix)	$f (x) = \cot (- x) + \sec (π x)$
16213	Find the Derivative - d/d@VAR	f(x) = natural log of (x+9)/(x-9)	$f (x) = \ln (\frac{x + 9}{x - 9})$
16214	Find the Inverse	f(x)=1/2*e^(x+1)-2	$f (x) = \frac{1}{2} \cdot e^{x + 1} - 2$
16215	Find the Derivative - d/d@VAR	f(x) = natural log of -x^3+3x^2+189x+1	$f (x) = \ln (- x^{3} + 3 x^{2} + 189 x + 1)$
16216	Find the Derivative - d/d@VAR	f(x) = natural log of x^3+1	$f (x) = \ln (x^{3} + 1)$
16217	Find the Critical Points	f(x)=x^5-10x^3	$f (x) = x^{5} - 10 x^{3}$
16218	Find the Critical Points	f(x) = square root of x^2+9	$f (x) = \sqrt{x^{2} + 9}$
16219	Find the Derivative - d/d@VAR	f(x) = natural log of e^(2x)	$f (x) = \ln (e^{2 x})$
16220	Find the Derivative - d/d@VAR	f(x)=csc(x)+2cot(x)	$f (x) = \csc (x) + 2 \cot (x)$
16221	Find Where Increasing/Decreasing Using Derivatives	f(x)=4x^3-48x	$f (x) = 4 x^{3} - 48 x$
16222	Find the Derivative - d/d@VAR	f(x)=5x natural log of 7x-5x	$f (x) = 5 x \ln (7 x) - 5 x$
16223	Find the Derivative - d/d@VAR	f(x) = natural log of fourth root of x	$f (x) = \ln (\sqrt[4]{x})$
16224	Find the Derivative - d/d@VAR	f(x)=arcsin(x)	$f (x) = \arcsin (x)$
16225	Find the Derivative - d/d@VAR	f(x)=8x^2-8sin(2x)	$f (x) = 8 x^{2} - 8 \sin (2 x)$
16226	Find the Derivative - d/d@VAR	f(x)=9x+ natural log of 9x	$f (x) = 9 x + \ln (9 x)$
16227	Find the Derivative - d/d@VAR	f(x)=arccsc(2x)	$f (x) = arccsc (2 x)$
16228	Find the Concavity	xe^x	$x e^{x}$
16229	Find the Concavity	natural log of x^2-4x+20	$\ln (x^{2} - 4 x + 20)$
16230	Find the Derivative - d/d@VAR	f(x)=arsin( square root of 1+x^2)	$f (x) =$ arsin $(\sqrt{1 + x^{2}})$
16231	Find the Derivative - d/d@VAR	f(x)=cos(x) log of x	$f (x) = \cos (x) \log (x)$
16232	Find the Derivative - d/d@VAR	f(x)=cos(x)cot(x)	$f (x) = \cos (x) \cot (x)$
16233	Find the Derivative - d/d@VAR	f(x)=-cos(x^2-5x)	$f (x) = - \cos (x^{2} - 5 x)$
16234	Find the Derivative - d/d@VAR	f(x)=cos(x^8)	$f (x) = \cos (x^{8})$
16235	Find the Derivative - d/d@VAR	f(x)=arccos( natural log of x^2)	$f (x) = \arccos (\ln (x^{2}))$
16236	Find the Derivative - d/d@VAR	f(x)=cos(2x^2)	$f (x) = \cos (2 x^{2})$
16237	Find the Derivative - d/d@VAR	f(x)=cos(cos(cos(x)))	$f (x) = \cos (\cos (\cos (x)))$
16238	Find the Derivative - d/d@VAR	f(x)=cos(3x) natural log of x^4	$f (x) = \cos (3 x) \ln (x^{4})$
16239	Find the Derivative - d/d@VAR	f(x)=9sin(x)^x	$f (x) = 9 {\sin (x)}^{x}$
16240	Find the Derivative - d/d@VAR	f(x)=92-100e^(-0.3x)	$f (x) = 92 - 100 e^{- 0.3 x}$
16241	Find the Derivative - d/d@VAR	f(x)=9xe^xcsc(x)	$f (x) = 9 x e^{x} \csc (x)$
16242	Find the Derivative - d/d@VAR	f(x)=9x	$f (x) = 9 x$
16243	Find the Derivative - d/d@VAR	f(x)=9x-8	$f (x) = 9 x - 8$
16244	Find the Derivative - d/d@VAR	f(x)=886-12x	$f (x) = 886 - 12 x$
16245	Find the Derivative - d/d@VAR	f(x)=-8x^12	$f (x) = - 8 x^{12}$
16246	Find the Derivative - d/d@VAR	f(x)=8x+13x^(8/13)	$f (x) = 8 x + 13 x^{\frac{8}{13}}$
16247	Find the Derivative - d/d@VAR	f(x)=9e^x+2x^2	$f (x) = 9 e^{x} + 2 x^{2}$
16248	Find the Derivative - d/d@VAR	f(x)=58(1-e^(-1.1t))+20	$f (x) = 58 (1 - e^{- 1.1 t}) + 20$
16249	Find the Derivative - d/d@VAR	f(x)=5x^2cos(3x)	$f (x) = 5 x^{2} \cos (3 x)$
16250	Find the Derivative - d/d@VAR	f(x)=6x^2 natural log of 4x	$f (x) = 6 x^{2} \ln (4 x)$
16251	Find the Derivative - d/d@VAR	f(x)=6e^xcos(x)	$f (x) = 6 e^{x} \cos (x)$
16252	Find the Derivative - d/d@VAR	f(x)=5e^(-5x)	$f (x) = 5 e^{- 5 x}$
16253	Find the Derivative - d/d@VAR	f(x)=5xe^x	$f (x) = 5 x e^{x}$
16254	Find the Derivative - d/d@VAR	f(x)=5x(x^4+1)^5	$f (x) = 5 x {(x^{4} + 1)}^{5}$
16255	Find the Derivative - d/d@VAR	f(x)=5sin(x)	$f (x) = 5 \sin (x)$
16256	Find the Derivative - d/d@VAR	f(x)=8sin( square root of x)^6	$f (x) = 8 \sin^{6} (\sqrt{x})$
16257	Find the Derivative - d/d@VAR	f(x)=64x^2+54/x-3	$f (x) = 64 x^{2} + \frac{54}{x} - 3$
16258	Find the Derivative - d/d@VAR	f(x)=8 square root of x	$f (x) = 8 \sqrt{x}$
16259	Find the Derivative - d/d@VAR	f(x)=8x^2cot(x)	$f (x) = 8 x^{2} \cot (x)$
16260	Find the Derivative - d/d@VAR	f(x)=8x^7y^8+3x^6y^4	$f (x) = 8 x^{7} y^{8} + 3 x^{6} y^{4}$
16261	Find the Derivative - d/d@VAR	f(x)=7x^(2/3)	$f (x) = 7 x^{\frac{2}{3}}$
16262	Find the Derivative - d/d@VAR	f(x)=7-6x^2	$f (x) = 7 - 6 x^{2}$
16263	Find the Derivative - d/d@VAR	f(x)=7-7x	$f (x) = 7 - 7 x$
16264	Find the Derivative - d/d@VAR	f(x)=64x-0.020x^2	$f (x) = 64 x - 0.02 x^{2}$
16265	Find the Derivative - d/d@VAR	f(x)=6 square root of 7x^2+5	$f (x) = 6 \sqrt{7 x^{2} + 5}$
16266	Find the Derivative - d/d@VAR	f(x)=6 square root of 7x^2+9	$f (x) = 6 \sqrt{7 x^{2} + 9}$
16267	Find the Derivative - d/d@VAR	f(x)=6x^4-34x^2	$f (x) = 6 x^{4} - 34 x^{2}$
16268	Find the Derivative - d/d@VAR	f(x)=6x+7 square root of x	$f (x) = 6 x + 7 \sqrt{x}$
16269	Find the Derivative - d/d@VAR	f(x)=6x+9	$f (x) = 6 x + 9$
16270	Find the Derivative - d/d@VAR	f(x)=7e^x+2x-3 natural log of x	$f (x) = 7 e^{x} + 2 x - 3 \ln (x)$
16271	Find the Derivative - d/d@VAR	f(x)=-4x^2+11x	$f (x) = - 4 x^{2} + 11 x$
16272	Find the Derivative - d/d@VAR	f(x)=-4e^(-3x)	$f (x) = - 4 e^{- 3 x}$
16273	Find the Derivative - d/d@VAR	f(x)=4x^2+12/( square root of x^3)+3	$f (x) = 4 x^{2} + \frac{12}{\sqrt{x^{3}}} + 3$
16274	Find the Derivative - d/d@VAR	f(x)=4x^2-10x-36	$f (x) = 4 x^{2} - 10 x - 36$
16275	Find the Derivative - d/d@VAR	f(x)=4x natural log of 6x-4x	$f (x) = 4 x \ln (6 x) - 4 x$
16276	Find the Derivative - d/d@VAR	f(x)=5e^(2x)	$f (x) = 5 e^{2 x}$
16277	Find the Derivative - d/d@VAR	f(x)=4x natural log of x	$f (x) = 4 x \ln (x)$
16278	Find the Derivative - d/d@VAR	f(x)=4sin(x)+4cos(x)	$f (x) = 4 \sin (x) + 4 \cos (x)$
16279	Find the Derivative - d/d@VAR	f(x)=4sin(x)+3x^x	$f (x) = 4 \sin (x) + 3 x^{x}$
16280	Find the Derivative - d/d@VAR	f(x)=4x+ natural log of 4x	$f (x) = 4 x + \ln (4 x)$
16281	Find the Derivative - d/d@VAR	f(x)=4x-11 square root of x	$f (x) = 4 x - 11 \sqrt{x}$
16282	Find the Derivative - d/d@VAR	f(x)=4sin(x)	$f (x) = 4 \sin (x)$
16283	Find the Derivative - d/d@VAR	f(x)=4x(sin(x)+cos(x))	$f (x) = 4 x (\sin (x) + \cos (x))$
16284	Find the Derivative - d/d@VAR	f(x)=4x^2+9x-6	$f (x) = 4 x^{2} + 9 x - 6$
16285	Find the Derivative - d/d@VAR	f(x)=4x^2-7x-10	$f (x) = 4 x^{2} - 7 x - 10$
16286	Find the Derivative - d/d@VAR	f(x)=4x^2cot(x)	$f (x) = 4 x^{2} \cot (x)$
16287	Find the Derivative - d/d@VAR	f(x)=4x^2 natural log of 4x	$f (x) = 4 x^{2} \ln (4 x)$
16288	Find the Derivative - d/d@VAR	f(x)=4x^2sin(x)tan(x)	$f (x) = 4 x^{2} \sin (x) \tan (x)$
16289	Find the Derivative - d/d@VAR	f(x)=4x^4-9cos(x)	$f (x) = 4 x^{4} - 9 \cos (x)$
16290	Evaluate the Integral	integral of tan(2x) with respect to x	$\int \tan (2 x) d x$
16291	Find the Derivative - d/d@VAR	f(x)=3tan(2x)	$f (x) = 3 \tan (2 x)$
16292	Evaluate the Summation	sum from n=1 to 6 of -n-4	$\sum_{n = 1}^{6} - n - 4$
16293	Find the Derivative - d/d@VAR	f(x)=3x(2x-8)^7	$f (x) = 3 x {(2 x - 8)}^{7}$
16294	Find the Derivative - d/d@VAR	f(x)=-3x-12/x	$f (x) = - 3 x - \frac{12}{x}$
16295	Find the Derivative - d/d@VAR	f(x)=3-2x+x^2	$f (x) = 3 - 2 x + x^{2}$
16296	Find the Derivative - d/d@VAR	f(x)=4.5x^2-x+2.8	$f (x) = 4.5 x^{2} - x + 2.8$
16297	Find the Derivative - d/d@VAR	f(x)=3x-x^3	$f (x) = 3 x - x^{3}$
16298	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (e^(5x)-1-5x)/(x^2)	$lim_{x \to 0} \frac{e^{5 x} - 1 - 5 x}{x^{2}}$
16299	Find the Derivative - d/d@VAR	f(x)=3x-2+x^2-4	$f (x) = 3 x - 2 + x^{2} - 4$
16300	Find the Derivative - d/d@VAR	f(x)=3x-1	$f (x) = 3 x - 1$