The question is:  y=(x^2+x^3)^4 , find y’

Q: i '2/3

A: Given: i23 we know that amn=am1n

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Q: exp(iz) = 1+ iV3.

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Q: 2a + 3b + 4c =    a=( 2 )        3

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Q: dz 6. [0]. z-a

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Q: calculate y" and y"'. y = 7 − 2x

A: Given function: y=7-2x

Q: Differentiate. y = In (6x? - 5x + 3) y' =O

A: Given: y=ln6x2-5x+3 We know that ddxlnx=1x…

Q: (4cscxcotx + 2 sec² x)dx

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Q: For F = (3xyz^2,y^2sinz,xe^(2z)). Find ▽⋅F and ▽xF.

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Q: 8 him XT 2 (secx tanx) 1

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Q: 9x dx VI-9x -/1-9x2 +C -1 arcsin 3x + C + C 3(x3 – 3x)

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Q: y = (x' - 2x2 +3) (7x² – 4x)

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Q: (ど4ー) 2dx 4 X(3(Inx)*+121nx-15)2 2)

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Q: (D^2-1)y=5sinx

A: The given differential equation is D2-1y=5 sinx The solution cam be given by  yx=C.F. +P.I. Where…

Q: dx L2 exp %|

A: Given integral is I=∫-∞∞e-x2L2dx This type of integral cannot be done using elementary integration…

Q: 4= Find y 13x+(2x3-x'

A: To find the derivatives

Q: Sinh(8)=

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Q: 2.) (6x*y+z")² 10

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Q: y = In( sech2x)

A: The objective of the question is to find the derivative of the function y = ln(sech^2(x)).

Q: if z1 = i and z2= -(3)^0.5– i find the arguments for the quotient

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Q: Multiply: (5x'y*)(-6x"y*) b. (4x²y'z*)(2r°y°z*). a.

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Q: What is the order of the equation y" y- (y')³=4?

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Q: 192) Find la(21)=?

A: Note the logarithm property : logaxy=logax+logay where x,y>0 and a>0 ,a≠0 . logaan=n ; where…

Q: find (x²-y) dx + y²dy=

A: Introduction: One example of the form is a first-order homogeneous linear differential equation.…

Q: eln x, find y"

A: Explained below