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בעיות פופולריות

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בעיות חשבון אינפיטסימלי פופולריות

limit as x approaches 2 of (x^3)/3-7x^2	lim _{x→ 2}(`x`³3 −7`x`²)
f(y)=y^4	`f`(`y`)=`y`⁴
(d^2)/(dx^2)(sec(pi/4))	`d`²`dx`² (sec(π4 ))
integral of sec(x)tan(x)-9e^x	∫ sec(`x`)tan(`x`)−9`e`^x`dx`
integral from 1 to 3 of x^2e^x	∫ ₁³`x`²`e`^x`dx`
tangent f(x)=x^2,\at x=-1/4	`tangent` `f`(`x`)=`x`²,at `x`=−14
y^'-2xy-8=0	`y`^′−2`xy`−8=0
laplacetransform e^{3(t+1)}	`laplacetransform` `e`^3(t+1)
derivative y=x(3x-2)^4	`derivative` `y`=`x`(3`x`−2)⁴
integral of (e^{2x})/(\sqrt[4]{e^x+1)}	∫ `e`^2x⁴√`e`^x+1 `dx`
integral of x^2(sqrt(4+x^3))	∫ `x`²(√4+`x`³)`dx`
xy^'+y=5xy^2	`xy`^′+`y`=5`xy`²
integral of 1/((6-x^2)^{3/2)}	∫ 1(6−`x`²)³² `dx`
derivative of 2x-(2000/(x^2))	`ddx` (2`x`−2000`x`² )
integral of 6arctan(4y)	∫ 6arctan(4`y`)`dy`
(\partial)/(\partial x)(2y^{4x})	∂ ∂ `x` (2`y`^4x)
tangent f(x)=sin(x)+1,\at x=-pi/2	`tangent` `f`(`x`)=sin(`x`)+1,at `x`=−π2
area f(x)=x^2-4,x=-4,x=3	`area` `f`(`x`)=`x`²−4,`x`=−4,`x`=3
integral of 1/(x^2sqrt(a^2-x^2))	∫ 1`x`²√`a`²−`x`² `dx`
limit as x approaches-3 of \|x\|-2	lim _{x→ −3}(\|`x`\|−2)
laplacetransform e^t	`laplacetransform` `e`^t
tangent f(x)=(5x)/(x+3),2,\at x=2	`tangent` `f`(`x`)=5`xx`+3 ,2,at `x`=2
derivative of 2^{arctan(x})	`ddx` (2^arctan(x))
integral of (x+1)^2e^{-2x}	∫ (`x`+1)²`e`^−2x`dx`
(\partial)/(\partial x)(cos^6(x^2y^9))	∂ ∂ `x` (cos⁶(`x`²`y`⁹))
derivative of 3x^2+xy+2x+y	`ddx` (3`x`²+`xy`+2`x`+`y`)
taylor cos(x), pi/2	`taylor` cos(`x`),π2
(\partial)/(\partial y)(x^4y-3x^5y^2)	∂ ∂ `y` (`x`⁴`y`−3`x`⁵`y`²)
limit as x approaches 1 of x+1	lim _{x→ 1}(`x`+1)
integral of xln(3x)	∫ `x`ln(3`x`)`dx`
derivative of x(x-15^2)	`ddx` (`x`(`x`−15)²)
integral of e^{sin(x)}cos(x)	∫ `e`^sin(x)cos(`x`)`dx`
integral of 224sin(7x)\sqrt[3]{cos(7x)}	∫ 224sin(7`x`)³√cos(7`x`)`dx`
integral of 3sin^3(x)cos^3(x)	∫ 3sin³(`x`)cos³(`x`)`dx`
integral from-1 to 2 of (x-8\|x\|)	∫ ₋₁²(`x`−8\|`x`\|)`dx`
derivative of x^{4/5}*(x-4^2)	`ddx` (`x`⁴⁵· (`x`−4)²)
integral of 1/(w^2)	∫ 1`w`² `dw`
integral of x^4*2^{x^5+7}	∫ `x`⁴· 2^x⁵+7`dx`
integral of (19)/((1-x^2)^{3/2)}	∫ 19(1−`x`²)³² `dx`
integral of cos((nx)/2)	∫ cos(`nx`2 )`dx`
integral of 1/((1+e^{-y))}	∫ 1(1+`e`^−y) `dy`
derivative of \sqrt[7]{x}+2sqrt(x^7)	`ddx` (⁷√`x`+2√`x`⁷)
integral of x^7e^{-x^4}	∫ `x`⁷`e`^−x⁴`dx`
integral of log_{b}(x)	∫ log_b(`x`)`dx`
area y+x=4,36-9x=y^2	`area` `y`+`x`=4,36−9`x`=`y`²
d/(dt)(A*(cos(ωt+φ)))	`ddt` (`A`· (cos(ω`t`+φ)))
y^'(x)=(x^2)/(1-y^2),y(4)=2	`y`^′(`x`)=`x`²1−`y`² ,`y`(4)=2
integral of 2sqrt(x)e^{sqrt(x)}	∫ 2√`xe`^√x`dx`
derivative y=(x^2+1)^3	`derivative` `y`=(`x`²+1)³
integral of (1+cos(2x))/(sin^2(2x))	∫ 1+cos(2`x`)sin²(2`x`) `dx`
(\partial)/(\partial y)(x+3y)	∂ ∂ `y` (`x`+3`y`)
slope (-1.3)(3.5)	`slope` (−1.3)(3.5)
derivative g(x)=ln^3(x)	`derivative` `g`(`x`)=ln³(`x`)
tangent y=(5x)/(2^x),\at x=2	`tangent` `y`=5`x`2^x ,at `x`=2
(\partial)/(\partial y)(ln(x^2+3y))	∂ ∂ `y` (ln(`x`²+3`y`))
derivative of (6x^5-7x/(x^4-8))	`ddx` (6`x`⁵−7`xx`⁴−8 )
integral of (6e^{-0.2x})	∫ (6`e`^−0.2x)`dx`
area 5-x,25-x^2	`area` 5−`x`,25−`x`²
integral of 1/(x^2)arctan(x)	∫ 1`x`² arctan(`x`)`dx`
limit as x approaches 4+of sqrt(x-4)	lim _{x→ 4+}(√`x`−4)
derivative f(x)=0.6x^{1.5}	`derivative` `f`(`x`)=0.6`x`^1.5
(dy)/(dx)=9.8-0.196y	`dydx` =9.8−0.196`y`
y^{''}-4y^'-21y=0	`y`^{′ ′}−4`y`^′−21`y`=0
integral of sec^4(u)tan(u)	∫ sec⁴(`u`)tan(`u`)`du`
2x(y+1)dx-ydy=0	2`x`(`y`+1)`dx`−`ydy`=0
limit as x approaches 0 of arccos(x)	lim _{x→ 0}(arccos(`x`))
limit as x approaches infinity of 6x	lim _{x→ ∞}(6`x`)
integral of 5sin^3(x)cos^2(x)	∫ 5sin³(`x`)cos²(`x`)`dx`
derivative f(x)=arcsin(6x+1)	`derivative` `f`(`x`)=arcsin(6`x`+1)
integral of y^2z^3	∫ `y`²`z`³`dx`
(\partial)/(\partial x)(4ln((3xy)/(7z)))	∂ ∂ `x` (4ln(3`xy`7`z` ))
integral of-cos(2y)	∫ −cos(2`y`)`dy`
derivative 4sqrt(x)-3/(x^6)	`derivative` 4√`x`−3`x`⁶
integral of 2x^2-4	∫ 2`x`²−4`dx`
integral of 4/(sqrt(x+4)+\sqrt{x)}	∫ 4√`x`+4+√`x` `dx`
limit as x approaches-1 of 4x^3-2m	lim _{x→ −1}(4`x`³−2`m`)
limit as x approaches 0-of (x^2)/2-1/x	lim _{x→ 0−}(`x`²2 −1`x` )
integral of 1/(sec(x)+1)	∫ 1sec(`x`)+1 `dx`
tangent y=sqrt(x),(49,7)	`tangent` `y`=√`x`,(49,7)
integral of (25)/(x^{3/2)}	∫ 25`x`³² `dx`
integral of x*2^{x^2}	∫ `x`· 2^x²`dx`
f'(x)	`f` ′ (`x`)
integral of xsec^2(4x)	∫ `x`sec²(4`x`)`dx`
tangent f(x)=(x^2-15)^7,\at x=4	`tangent` `f`(`x`)=(`x`²−15)⁷,at `x`=4
x(dy)/(dx)+2y=6x^2sqrt(y)	`xdydx` +2`y`=6`x`²√`y`
derivative of acos^3(x)	`ddx` (`a`cos³(`x`))
derivative y=x^2ln(3x)	`derivative` `y`=`x`²ln(3`x`)
y^'=((1-y)^2)/(x+1),y(0)=5	`y`^′=(1−`y`)²`x`+1 ,`y`(0)=5
derivative of ln(ln(sec(x)))	`ddx` (ln(ln(sec(`x`))))
sum from n=1 to infinity of 1-7/(4^n)	∑ _n=1^∞1−74ⁿ
(\partial)/(\partial x)(8-x^2-y^2)	∂ ∂ `x` (8−`x`²−`y`²)
24y^{''}-2y^'-15y=0	24`y`^{′ ′}−2`y`^′−15`y`=0
d/(dt)(cos^2(e^{cos^2(t)}))	`ddt` (cos²(`e`^cos²(t)))
limit as x approaches-2 of 5x^2	lim _{x→ −2}(5`x`²)
(dy)/(dx)=(cos(16x))/(e^{16y)}	`dydx` =cos(16`x`)`e`^16y
derivative of tan(xsec^2(x))	`ddx` (tan(`x`)sec²(`x`))
integral from 2 to 3 of (31)/(sqrt(3-x))	∫ ₂³31√3−`x` `dx`
(tsin(t))^'	(`t`sin(`t`))^′
(\partial)/(\partial x)(e^{xz}y^3-ln(x))	∂ ∂ `x` (`e`^xz`y`³−ln(`x`))
derivative of arctan(11x)	`ddx` (arctan(11`x`))

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