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(d^2y)/(dx^2)=-49y	`d`²`ydx`² =−49`y`
derivative ln(tan(x^3))	`derivative` ln(tan(`x`³))
(dx)/(dt)=-t/x	`dxdt` =−`tx`
laplacetransform e^{2t}sin(4t)	`laplacetransform` `e`^2tsin(4`t`)
derivative (x^3-2)^2	`derivative` (`x`³−2)²
derivative of sqrt(x)-6x	`ddx` (√`x`−6`x`)
limit as x approaches 1 of x^3	lim _{x→ 1}(`x`³)
limit as x approaches+3 of 5/(x^2-9)	lim _{x→ +3}(5`x`²−9 )
(dy)/(dt)=20-y/(230+16t)	`dydt` =20−`y`230+16`t`
(dy)/(dx)=e^x-6x^2	`dydx` =`e`^x−6`x`²
tangent y=x^3+x	`tangent` `y`=`x`³+`x`
integral of x^2ex	∫ `x`²`exdx`
derivative (sin(θ))/3+c/θ	`derivative` sin(θ)3 +`c`θ
derivative 3z	`derivative` 3`z`
derivative of 1/4 x^4	`ddx` (14 `x`⁴)
integral of 3xcos(4x)	∫ 3`x`cos(4`x`)`dx`
integral of (3x^2-1)/((x-1)x^2)	∫ 3`x`²−1(`x`−1)`x`² `dx`
derivative of e^{cos(x})	`ddx` (`e`^cos(x))
integral of xe^{bx}	∫ `xe`^bx`dx`
integral of sec^5(3x)	∫ sec⁵(3`x`)`dx`
derivative of (2xy/((2-x^2)))	`ddx` (2`xy`(2−`x`²) )
derivative cos(6y)	`derivative` cos(6`y`)
derivative of (ax+b/(cx+d))	`ddx` (`ax`+`bcx`+`d` )
limit as x approaches 1 of arccos(x)	lim _{x→ 1}(arccos(`x`))
d/(ds)(6/(s^2+36))	`dds` (6`s`²+36 )
(d^2)/(dx^2)(sqrt(x^2+16))	`d`²`dx`² (√`x`²+16)
integral of (3x^2+1)/(2x)	∫ 3`x`²+12`x` `dx`
integral of (5x^3+7x)/(x-1)	∫ 5`x`³+7`xx`−1 `dx`
integral of 1/((x+4)(x-4))	∫ 1(`x`+4)(`x`−4) `dx`
derivative y=2xarccos(x)-2sqrt(1-x^2)	`derivative` `y`=2`x`arccos(`x`)−2√1−`x`²
sum from n=0 to infinity of ((n))/(n+1)	∑ _n=0^∞(`n`)`n`+1
y/(x^2)(dy)/(dx)+e^{2x^3+y^2}=0	`yx`² `dydx` +`e`^2x³+y²=0
limit as x approaches infinity of 4/x-12	lim _{x→ ∞}(4`x` −12)
(\partial)/(\partial y)(3x+2ysin(x))	∂ ∂ `y` (3`x`+2`y`sin(`x`))
limit as x approaches 20 of sin(70-x)	lim _{x→ 20}(sin(70−`x`))
f(x)=(2x^4-1)(5x^3+6x)	`f`(`x`)=(2`x`⁴−1)(5`x`³+6`x`)
derivative ((x^2-5)^3)/(x^2+2)	`derivative` (`x`²−5)³`x`²+2
limit as x approaches 5 of ln(x^2-25)	lim _{x→ 5}(ln(`x`²−25))
integral of 5e^x-cos(x)+3x^2-1/x	∫ 5`e`^x−cos(`x`)+3`x`²−1`x` `dx`
integral of 1/(xsqrt(36x^2-4))	∫ 1`x`√36`x`²−4 `dx`
derivative of x^2+3x+2	`ddx` (`x`²+3`x`+2)
derivative 66^t+22t	`derivative` 6· 6^t+2· 2`t`
integral of (sin(3x))/(csc^2(4x))	∫ sin(3`x`)csc²(4`x`) `dx`
(dy)/(dx)=(1-y)/(1-x)	`dydx` =1−`y`1−`x`
(\partial)/(\partial v)(2vsin(u))	∂ ∂ `v` (2`v`sin(`u`))
inverselaplace 1/(s^2-s)	`inverselaplace` 1`s`²−`s`
limit as x approaches 1/5 of x/(10x-2)	lim _{x→ 15}(`x`10`x`−2 )
derivative of (cos(x)^3)	`ddx` ((cos(`x`))³)
x^'+2/(1+t)x=(e^t)/(1+t)	`x`^′+21+`t` `x`=`e`^t1+`t`
integral from-1 to 1 of 3x^2sqrt(x^3+5)	∫ ₋₁¹3`x`²√`x`³+5`dx`
(x^2+2x)^'	(`x`²+2`x`)^′
limit as x approaches 1+of 5/(x^3-1)	lim _{x→ 1+}(5`x`³−1 )
integral of (x+5)/(x^2+10x)	∫ `x`+5`x`²+10`x` `dx`
integral from 0 to 1 of pi(1-x^2)	∫ ₀¹π(1−`x`²)`dx`
inverselaplace (-5)/(s(s^2-5s+4))	`inverselaplace` −5`s`(`s`²−5`s`+4)
derivative y=-3x-2	`derivative` `y`=−3`x`−2
x^{''}+6x^'+7x=0,x(0)=0,x^'(0)=1	`x`^{′ ′}+6`x`^′+7`x`=0,`x`(0)=0,`x`^′(0)=1
integral from 2 to 5 of (4x-2)	∫ ₂⁵(4`x`−2)`dx`
(sqrt(x))^'	(√`x`)^′
integral of (180x^2)/((3x+1)(3x+5)(x+2))	∫ 180`x`²(3`x`+1)(3`x`+5)(`x`+2) `dx`
f(x)=cos(ln(x))	`f`(`x`)=cos(ln(`x`))
integral from 0 to 4 of 1/(x^2)	∫ ₀⁴1`x`² `dx`
(\partial)/(\partial x)(ln(x^2))	∂ ∂ `x` (ln(`x`²))
integral of-2cos(t)	∫ −2cos(`t`)`dt`
tangent f(x)=8\sqrt[4]{x},\at x=1	`tangent` `f`(`x`)=8⁴√`x`,at `x`=1
derivative of (3x+5^3-5x)	`ddx` ((3`x`+5)³−5`x`)
(\partial)/(\partial x)(xe^{(y/x)})	∂ ∂ `x` (`xe`^(yx ))
integral of 1/(cos^2(b)x)	∫ 1cos²(`b`)`x` `dx`
limit as x approaches 2 of-5	lim _{x→ 2}(−5)
integral of-cos(2t)	∫ −cos(2`t`)`dt`
integral of 1/((1-x)(2-x))	∫ 1(1−`x`)(2−`x`) `dx`
derivative 1/(cos^2(x))	`derivative` 1cos²(`x`)
(dx)/(dt)=x	`dxdt` =`x`
(\partial)/(\partial y)(2x-y)	∂ ∂ `y` (2`x`−`y`)
limit as x approaches infinity of (((log_{2}(x))^2))/(sqrt(x))	lim _{x→ ∞}(((log₂(`x`))²)√`x` )
xyy^'=x^6+3y^2	`xyy`^′=`x`⁶+3`y`²
integral of 3xsin(x)cos(x)	∫ 3`x`sin(`x`)cos(`x`)`dx`
derivative of ln(x*sqrt(x^2-1))	`ddx` (ln(`x`· √`x`²−1))
derivative f(x)=x^9cos(x)	`derivative` `f`(`x`)=`x`⁹cos(`x`)
laplacetransform t^2e^{-3t}	`laplacetransform` `t`²`e`^−3t
derivative of y^2x+2yx^3	`ddx` (`y`²`x`+2`yx`³)
steigung (0,-2),(2,2)	`slope` (0,−2),(2,2)
integral from 0 to 1 of sqrt(x+16)	∫ ₀¹√`x`+16`dx`
taylor sin(x+pi)	`taylor` sin(`x`+π)
laplacetransform 2e^{-4t}	`laplacetransform` 2`e`^−4t
derivative of ln(y/x)	`ddx` (ln(`yx` ))
(\partial)/(\partial y)(x^2-2x-xy)	∂ ∂ `y` (`x`²−2`x`−`xy`)
derivative (x^2)/((x^2-1)^4)	`derivative` `x`²(`x`²−1)⁴
(\partial)/(\partial y)(x^2e^y)	∂ ∂ `y` (`x`²`e`^y)
slopeintercept (7)(-1.6)	`slopeintercept` (7)(−1.6)
x^2y^'+2xy=11cos^2(x)	`x`²`y`^′+2`xy`=11cos²(`x`)
derivative y=log_{5}(sqrt(7x+1))	`derivative` `y`=log₅(√7`x`+1)
derivative of (4x^3/3)	`ddx` (4`x`³3 )
(\partial)/(\partial y)(zcos(xz))	∂ ∂ `y` (`z`cos(`xz`))
derivative of (x-2^4-1)	`ddx` ((`x`−2)⁴−1)
integral of xIn(1+x)	∫ `xIn`(1+`x`)
steigung (-6,7),(1,-12)	`slope` (−6,7),(1,−12)
integral from 0 to 4 of (8t)/((t-5)^2)	∫ ₀⁴8`t`(`t`−5)² `dt`
derivative of (3x^2+5x+8/(\sqrt[3]{x)})	`ddx` (3`x`²+5`x`+8³√`x` )
limit as x approaches 0 of (\|x-0\|)/(x-0)	lim _{x→ 0}(\|`x`−0\|`x`−0 )

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