Given = Ⓡ dr dt dy dt (iii) || | dy dz -48 t + 145 and y = 48 In (3t) - 1 (write the simplified answer)

Q: - у = 3x-2 4x-5

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Q: 9/2 dy dx

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Q: Find dy/dx. x = t /2 + t y = sqrt(2 + t

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Q: if y = 3x2-2x+5 , determine dy/dx using the definition.

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Q: Find dy/dx in terms of x and y if x = 10√/y. X

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Q: Determine the value of- dy - at (0,0) for the following expression: 3x² +2y = 3x – 2y dx 10.

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Q: dx 1. dy y 3x :-5x2 dy 2y 2. dx = -4x²

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Q: find dy /dx for Hhe followiny (इस्ट '5र) +4 (In 2X) te

A: Given : y = 3ln2x+ecscx2+4sec-15x

Q: Find dy/dx. y = __2x + 3)3__ (4x 2 − 1)8

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Q: 8x 5. S dx 2. 2. (4x +3)

A: ∫8x(4x2+3)23dx∫(4x2+3)-23 8x dxhere f(x) =4x2+3 , f'(x) =8x , n=-23∫f(x)nf'(x) dx= f(x)n+1n+1+c

Q: 2 (х + у)dx dy 1. 3.

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Q: 9x Cos (8x) dx qxcas()dx7u dv = %3D

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Q: Find the values of d/dx (11) and d/dx(π)

A: Consider the provided information, ddx11   and   ddxπ. Find the values of the derivative. The…

Q: У(2x? — ху + у?)dх — x? (2х — у)dy %3D0;B у(1) - H IN

A: Use homogeneous equation

Q: y= In]3x+2)²/2x–1 dy 1. Find dx

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Q: dx 1– ex

A: Consider the following integral: ∫ex1-exdx Substitute u=ex2→du=12ex2dx in the above equation:…

Q: 1 c2(1-z) Evaluate Sa-2) s(1-;-2) dy dx dz

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Q: dr Find if r (x) = 9x 2 + 5x – 3. dx

A: Given,            r(x) = 9x2 + 5x - 3

Q: - y = sin² (3*)

A: We have to find derivative of given function.

Q: 1 (x2 - y2) 3 dx

A: We have to evaluate ∫1x2-y232dx Let x=y secu Then: dxdu=dduy secu⇒dxdu=y secutanu⇒dx=y secutanu du…

Q: 1 dx Vx(1+ x)7

A: ∫1x1+x52dx

Q: dy Find if y = e 4x2-3x+2 dx

A: dydx=ex4x2-11x+54x2-3x+22

Q: dy Find if y=(3x+1)². dx

A: given  y=(3x+1)2 formula of derivatives→(i) d dx(xn)=nxn-1(ii)  d dx(constant)=0

Q: Find 2 dx *- dx x+1 4. dx 3.

A: y =(x+1/(x+1))2 y = (1/x+1)2 y = 1/(x+1) dy/dx = -1/(x+1)2   4 y = x2/(3x2 - x3) y = 1/(3 - x) dy/dx…