If x = t³ – 3t² , find %3D dx 1. -1 -1 A. 3(t-2) В. 3t(t-2) С. 3(t-2) D. 3t(t-2)

Q: Find 2 dr if y=1-t² and x= 4+² dx

A: 1.       dy/dt = d/dt [ 1- t²]   = -2t        2.      dx/dt  = d/dt [ 4t²]     = 8t   So now…

Q: S16 -X2 メー dy dx + x?+yz

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Q: dy dx y² + 1

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Q: d'y dr2 dy - 2 +y=3 e4x, given y(0) dx 1 and y'(0) =4; 3.

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Q: If y = (x² + 7)°, find d²y dx

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Q: If dy/dx= 5y+2 and y(0)= 3. What is the value of x when y=2?

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Q: dy/dx=y2/3

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Q: find d^2y/dx^2 if y= 17/ x^3

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Q: If xy + y2 = 1, find the value of d2y/dx2 at the point (0, -1).

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Q: d/S Vx5 dx el S- dx, (x # 0) 2x

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Q: (b) d etan(5x) dx (e) dy y = xln(x) (c) dx lx=1 750 étv

A: Derivative wrt x

Q: d*y 4. Find dx 1 if y=x' + 5 +13 2x? 3x 5

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Q: dy (B) Find -, if dx 3x2 + 2x 2 Y = (- when x = 1 5

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Q: 36. dy dx y=x2/3

A: The given integral is ∫01∫x231xey4dy dx. From the above integral, the region is given by…

Q: | f(x)dx = 3 and f(x)dx = 7 , then (2f(x) +3)dx = If 4

A: TO FIND ∫43(2f(x) +3) dx GIVEN - ∫03f(x) dx = 3 ∫04f(x) dx =7 USE THIS PROPERTY TO SIMPLIFY- ∫abf(x)…

Q: 2e2x) when x=0 and y=3. dx Compute

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Q: B: Find dy /dx 4x5-5x+2x3 2- y = x2

A: We have to find the derivative dy/dx.

Q: d) S 3x²e*dx e) 2t?Vt3 +1 dt

A: evaluate the integrald)∫3x2exdxe)∫022t2t3+1 dt

Q: b. (3xy3 + 4y)dx + (3x?y² + 2x)dy = 0; when x = 1, y = 1

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Q: Find d^2y / dx^2 when y = 8+x / 4-x

A: Simply take two times derivative of the given equation using the derivative of the form  u/v

Q: 2 d'y If y = 3x 4 4x + 18x find 2 dx

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Q: хе*+2 y = e2x+1

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Q: dx 2x dy y 3.

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Q: If y=f(8x²) and f'(8)= -3, find dy dx |x=1

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Q: Q3. Find dt 4x – 2 dx x² + 20 4t

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Q: Find dy by dx when y is equal to 3x³-12x²+7x-19 divided by 4x

A: To find dydx when y=3x3-12x2+7x-194x. Solution: Power rule of differentiation states that:…

Q: dy Find for y = x(4x + 3) dx - |3

A: The function is given by y = x4x+313 To evaluate : dydx

Q: If y = 2x² then dy dx 11

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Q: dy/dx if y=3x3/2

A: consider y=3x32differentiate w.r.t.x,ddx(y)=ddx3x32           =3 ddxx32            =3×32x12…

Q: x^3+y^3=7​, find the value of d^2y/dx^2 at the point (−1,-2)

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Q: y=(x2+1)4​, find d2y/dx2.

A: Explanation and solutions is given below.....

Q: dy Q5/ a) Find if y = esin(2x) dx

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Q: (x) dx = 6 and f(x) dx = 10 , then +3] dx = %3D 2

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Q: dy dx x3 2+y²

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Q: ,5. For y = 3x° - 9x° + 2x, find dx %3D dx 5

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Q: Find dy/dx x = t2 , y = 7 − 6t

A: Given that: The parametric equations, x = t2  y = 7 - 6t

Q: Find d^2y/dx^2 for y=2x^3-5/x^2

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

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

Q: Find dy/dx | V(r) =Y/ Tir ³ 3

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Q: Find d^2y/dx^2 given 2xy-y^2=3.

A: Since we are given 2xy-y2=3 - (i)Our aim is to find d2ydx2 of equation (i) = ?

Q: 2r – 1 dr = ar" + dx" +C.

A: Integrate the function using basic method. Keep the function in power term. And then compare.

Q: dy х+3у. dx 2х

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Q: dy 7x+4 Find if y= dx 4 28x

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Q: . If x = 3t² - 2t, find the value of dx/dy when t = 5

A: The given function is x=3t2-2t.

Q: Solve for dy in the function dx Y= (3x-2)5(2x? +5)" and simplify the result.

A: The given function is y=3x-252x2+54

Q: 4–x? c1-a²-y² x dz dy dx = -7+x?+y?

A: