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प्रचलित समस्याएं

रैंक	विषय	समस्या	फॉर्मेट की गई समस्या
12001	微分値を求める - d/d@VAR	f(x)=x^(5/2)	$f (x) = x^{\frac{5}{2}}$
12002	微分値を求める - d/d@VAR	f(x)=x^(5/4)	$f (x) = x^{\frac{5}{4}}$
12003	微分値を求める - d/d@VAR	f(x)=-x^(8/9)	$f (x) = - x^{\frac{8}{9}}$
12004	微分値を求める - d/d@VAR	f(x)=x^2e^(3x)	$f (x) = x^{2} e^{3 x}$
12005	微分値を求める - d/d@VAR	f(x)=x^2(2e^(x^2))	$f (x) = x^{2} (2 e^{x^{2}})$
12006	微分値を求める - d/d@VAR	f(x)=x^2(x-3)	$f (x) = x^{2} (x - 3)$
12007	微分値を求める - d/d@VAR	f(x)=x^2+2x-3	$f (x) = x^{2} + 2 x - 3$
12008	微分値を求める - d/d@VAR	f(x)=x^2+4x-7	$f (x) = x^{2} + 4 x - 7$
12009	微分値を求める - d/d@VAR	f(x)=x^2+5x-3	$f (x) = x^{2} + 5 x - 3$
12010	微分値を求める - d/d@VAR	f(x)=x^2+12x^5-4x^4+10x^3-6x+5	$f (x) = x^{2} + 12 x^{5} - 4 x^{4} + 10 x^{3} - 6 x + 5$
12011	微分値を求める - d/d@VAR	f(x)=x^2(x-1)	$f (x) = x^{2} (x - 1)$
12012	微分値を求める - d/d@VAR	f(x)=x^2+16/x	$f (x) = x^{2} + \frac{16}{x}$
12013	微分値を求める - d/d@VAR	f(x)=x/7+7/x	$f (x) = \frac{x}{7} + \frac{7}{x}$
12014	微分値を求める - d/d@VAR	f(x)=x/(x+c/x)	$f (x) = \frac{x}{x + \frac{c}{x}}$
12015	微分値を求める - d/d@VAR	f(x)=x^(1/7)(x-1)^2	$f (x) = x^{\frac{1}{7}} {(x - 1)}^{2}$
12016	微分値を求める - d/d@VAR	f(x)=x/(x^2+100)	$f (x) = \frac{x}{x^{2} + 100}$
12017	微分値を求める - d/d@VAR	f(x)=x/((7x-6)^6)	$f (x) = \frac{x}{{(7 x - 6)}^{6}}$
12018	微分値を求める - d/d@VAR	f(x) = x के प्राकृतिक लघुगणक के पांचवेंं मूल	$f (x) = \sqrt[5]{\ln (x)}$
12019	微分値を求める - d/d@VAR	f(x) = cube root of 1-x^2	$f (x) = \sqrt[3]{1 - x^{2}}$
12020	微分値を求める - d/d@VAR	f(x) = t^2+5 के घन मूल t^3 के वर्गमूल	$f (x) = \sqrt[3]{t^{2}} + 5 \sqrt{t^{3}}$
12021	微分値を求める - d/d@VAR	f(x) = x+ के घन मूल x के पांचवेंं मूल	$f (x) = \sqrt[3]{x} + \sqrt[5]{x}$
12022	微分値を求める - d/d@VAR	f(x) = cube root of e^(2x)	$f (x) = \sqrt[3]{e^{2 x}}$
12023	微分値を求める - d/d@VAR	f(x) = x^3+4x के पांचवेंं मूल	$f (x) = \sqrt[5]{x^{3} + 4 x}$
12024	微分値を求める - d/d@VAR	f(x) = cube root of x-2	$f (x) = \sqrt[3]{x - 2}$
12025	微分値を求める - d/d@VAR	f(x) = 2x-3 का छठा मूल	$f (x) = \sqrt[6]{2 x - 3}$
12026	微分値を求める - d/d@VAR	f(x) = 9x^3 का सातवां मूल	$f (x) = \sqrt[7]{9 x^{3}}$
12027	微分値を求める - d/d@VAR	f(x)=7/(x^4)	$f (x) = \frac{7}{x^{4}}$
12028	微分値を求める - d/d@VAR	f(x)=72/5+48/(5(3x+1)^2)	$f (x) = \frac{72}{5} + \frac{48}{5 {(3 x + 1)}^{2}}$
12029	微分値を求める - d/d@VAR	f(x)=(8x)/(x-7)	$f (x) = \frac{8 x}{x - 7}$
12030	微分値を求める - d/d@VAR	f(x)=ax^(3/2)	$f (x) = a x^{\frac{3}{2}}$
12031	微分値を求める - d/d@VAR	F(x)=ax^2	$F (x) = a x^{2}$
12032	微分値を求める - d/d@VAR	f(x)=(cos(x))/(x^4)	$f (x) = \frac{\cos (x)}{x^{4}}$
12033	微分値を求める - d/d@VAR	f(x)=(cos(x))/x	$f (x) = \frac{\cos (x)}{x}$
12034	微分値を求める - d/d@VAR	f(x)=6/( x) का घन मूल	$f (x) = \frac{6}{\sqrt[3]{x}}$
12035	微分値を求める - d/d@VAR	f(x)=5^3 x^4+2/(x^2)-1/(3x^3) का वर्गमूल	$f (x) = 5^{3} \sqrt{x^{4}} + \frac{2}{x^{2}} - \frac{1}{3 x^{3}}$
12036	微分値を求める - d/d@VAR	f(x)=ax^4	$f (x) = a x^{4}$
12037	微分値を求める - d/d@VAR	F(x)=ax^5	$F (x) = a x^{5}$
12038	微分値を求める - d/d@VAR	F(x)=ax^6	$F (x) = a x^{6}$
12039	微分値を求める - d/d@VAR	f(x)=e^(-1/(x-2))	$f (x) = e^{\frac{- 1}{x - 2}}$
12040	微分値を求める - d/d@VAR	f(x)=e^(1/(2x))	$f (x) = e^{\frac{1}{2 x}}$
12041	微分値を求める - d/d@VAR	f(x)=e^(-(x^2))	$f (x) = e^{- (x^{2})}$
12042	微分値を求める - d/d@VAR	f(x)=cos(x)^2-cos(x)^3	$f (x) = \cos^{2} (x) - \cos^{3} (x)$
12043	微分値を求める - d/d@VAR	f(x)=e^x-2x	$f (x) = e^{x} - 2 x$
12044	微分値を求める - d/d@VAR	f(x)=e^( 2)+e^xsin(x) का प्राकृतिक लघुगणक	$f (x) = e^{\ln (2)} + e^{x} \sin (x)$
12045	微分値を求める - d/d@VAR	f(x)=e^(tan(x))	$f (x) = e^{\tan (x)}$
12046	微分値を求める - d/d@VAR	f(x)=e^(-9x)	$f (x) = e^{- 9 x}$
12047	微分値を求める - d/d@VAR	f(x)=e^( x) का प्राकृतिक लघुगणक	$f (x) = e^{\ln (x)}$
12048	微分値を求める - d/d@VAR	f(x)=e^(sin(2x))	$f (x) = e^{\sin (2 x)}$
12049	微分値を求める - d/d@VAR	f(x)=( 1+x^2)/(arctan(x)) का प्राकृतिक लघुगणक	$f (x) = \frac{\ln (1 + x^{2})}{\arctan (x)}$
12050	微分値を求める - d/d@VAR	f(x)=( x)/(12x) का प्राकृतिक लघुगणक	$f (x) = \frac{\ln (x)}{12 x}$
12051	微分値を求める - d/d@VAR	f(x)=e^(7x)	$f (x) = e^{7 x}$
12052	微分値を求める - d/d@VAR	f(x)=e^(-7x)	$f (x) = e^{- 7 x}$
12053	微分値を求める - d/d@VAR	f(x)=e^(8x)	$f (x) = e^{8 x}$
12054	微分値を求める - d/d@VAR	f(x)=e^(-8x)	$f (x) = e^{- 8 x}$
12055	微分値を求める - d/d@VAR	f(x)=e^(2x^3)	$f (x) = e^{2 x^{3}}$
12056	微分値を求める - d/d@VAR	f(x)=e^2x	$f (x) = e^{2} x$
12057	微分値を求める - d/d@VAR	f(x)=e^(x^2+3x+1)	$f (x) = e^{x^{2} + 3 x + 1}$
12058	微分値を求める - d/d@VAR	f(x)=e^(x^2+9x-8)	$f (x) = e^{x^{2} + 9 x - 8}$
12059	微分値を求める - d/d@VAR	f(x)=e^(-11x)	$f (x) = e^{- 11 x}$
12060	微分値を求める - d/d@VAR	f(x)=e^(3/x)	$f (x) = e^{\frac{3}{x}}$
12061	微分値を求める - d/d@VAR	f(x)=e^(-3/(x^2))	$f (x) = e^{\frac{- 3}{x^{2}}}$
12062	微分値を求める - d/d@VAR	f(x)=e^(x/x)	$f (x) = e^{\frac{x}{x}}$
12063	微分値を求める - d/d@VAR	f(x) = square root of x^2-1	$f (x) = \sqrt{x^{2} - 1}$
12064	微分値を求める - d/d@VAR	f(x) = square root of x^2+1-x	$f (x) = \sqrt{x^{2} + 1} - x$
12065	स्थानीय अधिकतम और न्यूनतम ज्ञात कीजिये।	f(x)=2x^2-3x-1	$f (x) = 2 x^{2} - 3 x - 1$
12066	微分値を求める - d/d@VAR	f(x) = square root of e^x	$f (x) = \sqrt{e^{x}}$
12067	微分値を求める - d/d@VAR	f(x)=(sin(x))/x+(\|sin(x)\|)/x	$f (x) = \frac{\sin (x)}{x} + \frac{\| \sin (x) \|}{x}$
12068	微分値を求める - d/d@VAR	f(x)=t^4-4t^3-10	$f (x) = t^{4} - 4 t^{3} - 10$
12069	微分値を求める - d/d@VAR	f(x)=(tan(x-5))/(x-1)	$f (x) = \frac{\tan (x - 5)}{x - 1}$
12070	微分値を求める - d/d@VAR	f(x)=tan(5x)^3	$f (x) = \tan^{3} (5 x)$
12071	微分値を求める - d/d@VAR	f(x) = square root of (1-2x)/(1+2x)	$f (x) = \sqrt{\frac{1 - 2 x}{1 + 2 x}}$
12072	微分値を求める - d/d@VAR	f(x)=te^(-t^2)	$f (x) = t e^{- t^{2}}$
12073	微分値を求める - d/d@VAR	f(x)=arcsec(3x^5)	$f (x) = arcsec (3 x^{5})$
12074	微分値を求める - d/d@VAR	f(x)=(sin(x))/(2-cos(x))	$f (x) = \frac{\sin (x)}{2 - \cos (x)}$
12075	微分値を求める - d/d@VAR	f(x)=e^(cos(4x))	$f (x) = e^{\cos (4 x)}$
12076	微分値を求める - d/d@VAR	f(x)=sec(x)^2+csc(x)^2	$f (x) = \sec^{2} (x) + \csc^{2} (x)$
12077	微分値を求める - d/d@VAR	f(x)=sin(x)^(cos(x))	$f (x) = {\sin (x)}^{\cos (x)}$
12078	微分値を求める - d/d@VAR	f(x)=t^(2/3)-t^(1/3)+4	$f (x) = t^{\frac{2}{3}} - t^{\frac{1}{3}} + 4$
12079	微分値を求める - d/d@VAR	f(x)=( x)/(x^3) का प्राकृतिक लघुगणक	$f (x) = \frac{\ln (x)}{x^{3}}$
12080	微分値を求める - d/d@VAR	f(x) = log base 11 of x	$f (x) = \log_{11} (x)$
12081	微分値を求める - d/d@VAR	f(x) = log base 3 of x	$f (x) = \log_{3} (x)$
12082	微分値を求める - d/d@VAR	f(x) = x+ के लघुगणक बेस 3 x के वर्गमूल	$f (x) = \log_{3} (x + \sqrt{x})$
12083	微分値を求める - d/d@VAR	f(x) = natural log of (x)^6	$f (x) = \ln ({(x)}^{6})$
12084	微分値を求める - d/d@VAR	f(x) = log base 4 of 5x^2+1	$f (x) = \log_{4} (5 x^{2} + 1)$
12085	微分値を求める - d/d@VAR	f(x) = log base 5 of x^3	$f (x) = \log_{5} (x^{3})$
12086	微分値を求める - d/d@VAR	f(x) = log base 5 of x	$f (x) = \log_{5} (x)$
12087	微分値を求める - d/d@VAR	f(x) = log base 8 of (x^2-5)/(x-10)	$f (x) = \log_{8} (\frac{x^{2} - 5}{x - 10})$
12088	微分値を求める - d/d@VAR	f(x)=p^2	$f (x) = p^{2}$
12089	微分値を求める - d/d@VAR	f(x)=p^4	$f (x) = p^{4}$
12090	微分値を求める - d/d@VAR	f(x)=(qx+r)/(sx+t)	$f (x) = \frac{q x + r}{s x + t}$
12091	微分値を求める - d/d@VAR	f(x)=r/( r^2+7) का वर्गमूल	$f (x) = \frac{r}{\sqrt{r^{2} + 7}}$
12092	微分値を求める - d/d@VAR	f(x) = square root of 2x+1	$f (x) = \sqrt{2 x + 1}$
12093	微分値を求める - d/d@VAR	f(x) = 3p* के वर्गमूल x^4 के घन मूल	$f (x) = \sqrt{3 p} \cdot \sqrt[3]{x^{4}}$
12094	微分値を求める - d/d@VAR	f(x) = t-1/( के वर्गमूल t) के वर्गमूल	$f (x) = \sqrt{t} - \frac{1}{\sqrt{t}}$
12095	微分値を求める - d/d@VAR	f(x) = square root of 8x^6+8	$f (x) = \sqrt{8 x^{6} + 8}$
12096	微分値を求める - d/d@VAR	f(x) = 8x^2+2/( के वर्गमूल x) के वर्गमूल	$f (x) = \sqrt{8} x^{2} + \frac{2}{\sqrt{x}}$
12097	微分値を求める - d/d@VAR	f(x) = square root of 7x+4	$f (x) = \sqrt{7 x + 4}$
12098	微分値を求める - d/d@VAR	f(x) = square root of sec(4x)	$f (x) = \sqrt{\sec (4 x)}$
12099	微分値を求める - d/d@VAR	f(x) = x+5/( के वर्गमूल x) के वर्गमूल	$f (x) = \sqrt{x} + \frac{5}{\sqrt{x}}$
12100	微分値を求める - d/d@VAR	f(x) = square root of x+(x+4)^5	$f (x) = \sqrt{x} + {(x + 4)}^{5}$