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בעיות פופולריות

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בעיות חשבון אינפיטסימלי פופולריות

derivative of sqrt(1-169x^2)arccos(13x)	`ddx` (√1−169`x`²arccos(13`x`))
derivative (9x^2+9sqrt(x))/(8x)	`derivative` 9`x`²+9√`x`8`x`
integral of 1/(2-t)+1/(2+t)	∫ 12−`t` +12+`t` `dt`
integral from-infinity to 4 of e^{-x}	∫ _−∞⁴`e`^−x`dx`
y^{''}+y^'=sin^2(x)	`y`^{′ ′}+`y`^′=sin²(`x`)
area x=-2,x=1,y=11x,y=x^2-12	`area` `x`=−2,`x`=1,`y`=11`x`,`y`=`x`²−12
derivative of sqrt(400-5x)	`ddx` (√400−5`x`)
integral of v(u+v^2)^4	∫ `v`(`u`+`v`²)⁴`du`
integral of sin(θ)	∫ sin(θ)`d`θ
derivative of sqrt(6)x+sqrt(7x)	`ddx` (√6`x`+√7`x`)
(\partial)/(\partial x)(-2sqrt(x^2+y^2))	∂ ∂ `x` (−2√`x`²+`y`²)
derivative of x^{-4/3}	`ddx` (`x`⁻⁴³)
y^'+ky=e^{-7kx}	`y`^′+`ky`=`e`^−7kx
derivative 1/(sqrt(64+5t^2))	`derivative` 1√64+5`t`²
integral of 1/(x^2+9)	∫ 1`x`²+9 `dx`
tangent f(x)=2x^3-x^2+3x,\at x=1	`tangent` `f`(`x`)=2`x`³−`x`²+3`x`,at `x`=1
integral from 0 to t of e^xsin(pix)	∫ ₀^t`e`^x· sin(π· `x`)`dx`
tangent 6e^xcos(x)	`tangent` 6`e`^xcos(`x`)
limit as x approaches 6 of x^2-36	lim _{x→ 6}(`x`²−36)
(\partial)/(\partial x)(sqrt(5x))	∂ ∂ `x` (√5`x`)
limit as x approaches 0 of ((tan(5x)))/x	lim _{x→ 0}((tan(5`x`))`x` )
integral of 12x^2ln(x)	∫ 12`x`²ln(`x`)`dx`
derivative arccot(15y)	`derivative` arccot(15`y`)
derivative of (3sqrt(x)/2)	`ddx` (3√`x`2 )
x^2y^'+2xy=13cos^2(x)	`x`²`y`^′+2`xy`=13cos²(`x`)
y^'+3x^2y=6x^2	`y`^′+3`x`²`y`=6`x`²
integral of-cot(2x)	∫ −cot(2`x`)`dx`
integral of sqrt(x)(sqrt(a)-sqrt(x))^2	∫ √`x`(√`a`−√`x`)²`dx`
derivative of 2/(sqrt(x^2+1))	`ddx` (2√`x`²+1 )
integral from 0 to 2 of 2pi(5-x)(8-x^3)	∫ ₀²2π(5−`x`)(8−`x`³)`dx`
integral of (4/(x^2))	∫ (4`x`² )`dx`
(xdy)/(dx)+5y=7x^2,f(2)=5	`xdydx` +5`y`=7`x`²,`f`(2)=5
derivative of Cxe^{-x}	`ddx` (`Cxe`^−x)
integral of-16cos(4t+pi)	∫ −16cos(4`t`+π)`dt`
derivative of (x-2^{x+1})	`ddx` ((`x`−2)^x+1)
(y^{-2})^'	(`y`⁻²)^′
(\partial)/(\partial x)(x^6y-2x^3y^2)	∂ ∂ `x` (`x`⁶`y`−2`x`³`y`²)
area y=x+4,y=x^2+x-12	`area` `y`=`x`+4,`y`=`x`²+`x`−12
area 2(x+1),3(x+1),x=4	`area` 2(`x`+1),3(`x`+1),`x`=4
derivative x^3+x+3	`derivative` `x`³+`x`+3
area e^x,e^{-4x},x=ln(3)	`area` `e`^x,`e`^−4x,`x`=ln(3)
integral from 1 to 3 of ((x)^3+e^{-3x})	∫ ₁³((`x`)³+`e`^−3x)`dx`
limit as x approaches 36 of sqrt(x)	lim _{x→ 36}(√`x`)
limit as x approaches 3 of (4x+5)(3x-2)	lim _{x→ 3}((4`x`+5)(3`x`−2))
limit as x approaches-infinity of 1+x^2	lim _{x→ −∞}(1+`x`²)
y=xln(x)	`y`=`x`ln(`x`)
tangent f(x)=3sqrt(x),\at x=16	`tangent` `f`(`x`)=3√`x`,at `x`=16
integral of sec^3(2x)	∫ sec³(2`x`)`dx`
integral from 0 to 4 of 4y-y^2	∫ ₀⁴4`y`−`y`²`dy`
inverselaplace (400)/((s(s^2+200)))	`inverselaplace` 400(`s`(`s`²+200))
laplacetransform x^2e^{3x}	`laplacetransform` `x`²`e`^3x
derivative of (arctan(2x)^2)	`ddx` ((arctan(2`x`))²)
integral of ((x-1))/(x^2)	∫ (`x`−1)`x`² `dx`
derivative of x^2sqrt(x)-5x	`ddx` (`x`²√`x`−5`x`)
area y=2-e^x,y=10e^{-x}-5	`area` `y`=2−`e`^x,`y`=10`e`^−x−5
derivative f(x)=(ln(4))/3 e^x	`derivative` `f`(`x`)=ln(4)3 `e`^x
derivative y=(5x-2)/(sqrt(x))	`derivative` `y`=5`x`−2√`x`
tangent 8x^{-2}	`tangent` 8`x`⁻²
integral of-sqrt(x)	∫ −√`xdx`
limit as x approaches 0 of arccot(1/x)	lim _{x→ 0}(arccot(1`x` ))
derivative of (-x^2+2x(3x+2)(x-1))	`ddx` ((−`x`²+2`x`)(3`x`+2)(`x`−1))
tangent f(x)=3x^2,(1,3)	`tangent` `f`(`x`)=3`x`²,(1,3)
y^'=(e^x)/y	`y`^′=`e`^x`y`
integral from 1 to 5 of 2/x	∫ ₁⁵2`x` `dx`
limit as x approaches 0 of (20)/(1+x)	lim _{x→ 0}(201+`x` )
integral of cos(5)	∫ cos(5)
integral of e^x*1/x	∫ `e`^x· 1`x` `dx`
derivative y=cos(7x)	`derivative` `y`=cos(7`x`)
slope y=((x-4))/(sqrt(x)-2)	`slope` `y`=(`x`−4)√`x`−2
sum from n=1 to infinity of 3*(4/3)^n	∑ _n=1^∞3· (43 )ⁿ
y^{''}+2y^'+y=4e^{-2t}	`y`^{′ ′}+2`y`^′+`y`=4`e`^−2t
tangent sqrt(x)(81.9)	`tangent` √`x`(81.9)
(1+x)^2y^'+(1+x)y=1	(1+`x`)²`y`^′+(1+`x`)`y`=1
integral of 1/((x-2)sqrt(x+2))	∫ 1(`x`−2)√`x`+2 `dx`
laplacetransform (t-(3pi)/6)sin(6t)	`laplacetransform` (`t`−3π6 )sin(6`t`)
derivative of 6ln(cos(x))	`ddx` (6ln(cos(`x`)))
(\partial)/(\partial x)(e^{xy}sin(y))	∂ ∂ `x` (`e`^xysin(`y`))
limit as x approaches 0 of 9x^2-2x+5	lim _{x→ 0}(9`x`²−2`x`+5)
(\partial)/(\partial b)(10^{-2b})	∂ ∂ `b` (10^−2b)
integral of (x^2)/(x^2+x-6)	∫ `x`²`x`²+`x`−6 `dx`
limit as x approaches 0 of (sin(-x))/x	lim _{x→ 0}(sin(−`x`)`x` )
derivative of e^x+cos(x)	`ddx` (`e`^x+cos(`x`))
derivative of 10log_{10}(100x)	`ddx` (10log₁₀(100`x`))
derivative of cos(2x^2-3)	`ddx` (cos(2`x`²−3))
derivative f(x)=(x^2)/(2+x)	`derivative` `f`(`x`)=`x`²2+`x`
area x^2-2x,x+4	`area` `x`²−2`x`,`x`+4
area y=x^2-1,y=-x^2+1	`area` `y`=`x`²−1,`y`=−`x`²+1
sin(2x)dx+cos(3y)dy=0	sin(2`x`)`dx`+cos(3`y`)`dy`=0
derivative of (4-3x/(3x^2+x))	`ddx` (4−3`x`3`x`²+`x` )
(\partial}{\partial x}(\frac{7x)/y)	∂ ∂ `x` (7`xy` )
(dx)/(dy)-0.06x=200	`dxdy` −0.06`x`=200
integral of (6x)/(sqrt(1-x^4))	∫ 6`x`√1−`x`⁴ `dx`
integral from-3 to x of t^2e^{t^2}	∫ ₋₃^x`t`²`e`^t²`dt`
integral from 1 to 2 of 5^{-θ}	∫ ₁²5^−θ`d`θ
(\partial)/(\partial x)(x^2+y^2+1)	∂ ∂ `x` (`x`²+`y`²+1)
(d^2)/(dx^2)(xe^{-x})	`d`²`dx`² (`xe`^−x)
inverselaplace (1+s)/((s(s^2+s+1)))	`inverselaplace` 1+`s`(`s`(`s`²+`s`+1))
integral of (cos(x))/((sin^2(x)+25)^2)	∫ cos(`x`)(sin²(`x`)+25)² `dx`
(\partial)/(\partial y)(2xy+y^2)	∂ ∂ `y` (2`xy`+`y`²)
x(dy)/(dx)+(-1+x)y=-xy^2	`xdydx` +(−1+`x`)`y`=−`xy`²

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