2. Find the most general antiderivative of the function. Check your answer by differentiation. 3t4 - t3 +5t2 (j) g(t) = t3

Q: Find the differential of the function T = uw / 1+ uvw

A: Our Aim is to find the differential of the function:-T=uw1+uvw-(i)

Q: Find the differential of the function y = f(x). 2x2 + 5 f(x) = X + 5 dy = %3D

A:

Q: Find the differential dy for the given values of x and Δ x. y = 5x 2 - 2x + 3 ;  x = 2 , Δ x = - 1…

A: Given that: y=5x2-2x+3,  x=2  ,  Δx=-16

Q: Let y 3x?. Find the change in y, Ay when x = 2 and Ax = 0.4 Find the differential dy when x 2 and dx…

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Q: Let y = 5a2. Find the change in y, Ay when x = 4 and Ax = 0.4 Find the differential dy when x = 4…

A: ∆y = 5(x + ∆x)^2 - 5x^2= 5(x^2 + 2x∆x + ∆x^2) - 5x^2= 5(2x∆x + ∆x^2)= 10x∆x + 5∆x^2 So when x = 4…

Q: Find dy for the given values of x and Ax. y = 3x° - 2x; x = - 3; Ax = 0.4 What is the derivative of…

A: Given the functiony=3x3−2x

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: NOTE: Refresh your page if you can't see any equations. . take integration

Q: Let y = f(x), where f(x) = 5x² + 5. Find the differential of the function. dy = X

A:

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

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Q: 9) Where is the function h(t) = (t + 5)"3 differentiable?

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the differential of the function. y= e^x /  1−e^x

A: We have to find

Q: Find the differential of the given functions. 1. y= x³ – 2x? + 5 5. y = %3D V1-s2 v2 2. u = v+2 3.…

A:

Q: Let y = 3x2. Find the change in y, Ay when x = 2 and Ax 0.4 Find the differential dy when x 2 and dx…

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Q: Find an antiderivative of the following function by trial and error. Check your answer by…

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Q: 3. Is the expression (ez+y+z +4x²y²2²)dx+(e²+y+z +r’yz²)dy+(e²+y+z+³y²z)dz = 0 %3D exact? If yes,…

A: Given expression is ex+y+z+4x2y2z2dx+ex+y+z+83x3yz2dy+ex+y+z+83x3y2zdz=0 To verify whether the above…

Q: Find the differential dy of the given function.

A:

Q: Find dy for the given values of x and Ax. y = 3x+5; x = 1; Ax 0.24 What is the derivative of y = V3x…

A:

Q: Find the differential of the function y = f(x) f(x) = (2x² 1)1/3 dy = %3D

A: It is derivative problem.

Q: (a) Find the differential dy. y = 1/x+1

A:

Q: Find the antiderivative of the given derivative. ds = 5t(212 – 1)3 dt

A: Solution:-  given that  dsdt=5t(2t2-1)3 now  using identity (a-b)3=a3-b3-3ab(a-b)

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A:

Q: 2. Is the function G(x) = 2e -5 an antiderivative of the function g(x) = 6e"? Use the…

A: Given information: function Gx=2e3x-5 function gx=6e3x here, we have to show that, the function G(x)…

Q: Q.2 Given y(x) =m x2y %3D x2+2xy 2.1 Use Implicit differentiation to evaluate 业位 at (3,1). dx

A: Since you have posted the multiplication question. I am answering the first one. Please post the…

Q: 11.Use differentials to find the approximate change in f(x) = changes from x =1 to x = 1.08 V3 + x³…

A:

Q: Find the differential of the function z=2x'y %3D

A: If z is a function of two variables defined by z=f(x,y) then the differential dz or total…

Q: Can you help me step by step?

A: To determine the value of first and second derivative of the function

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 2 y = 4х — 3

A:

Q: Q. No. 5. Find the Derivative of the Given fur a) y= ev1n x( Inx) +2x b) f(x) = %3D a+x

A:

Q: 4 9. у%3 (1+ vx)" V1-s2 10. r = S

A: (9) Given information: The equation is y=1+x4. Concept used: Chain rule of differentiation:…

Q: Find the differential of the function. z = 7t − 7/t2

A: zt=7t-7t2

Q: Find the differential of the function. .6 y = V 3 – t

A: giveny=3-t6

Q: Find the differential of the function. 3 z = 3t - t2 dz II

A:

Q: Find dy for the given values of x and Ax. 3 2 y = x° - 3x + 5; x = 1; Ax = - 0.1 What is the…

A: Given: y=x3-3x2+5 ; x=1; ∆x=-0.1

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Given  C'x=2x2-3x   ...1C0=4000   ......2

Q: Find dy for the given values of x and Ax. 13 y= 4x" - 2x; x = -2; Ax= 0.3 What is the derivative of…

A:

Q: Find the most general antiderivative of the function.(Check your answer by differentiation.)   f ( t…

A:

Q: 1. 2x'y² + 4yx² = 6. Find dy/dx at (1, 1) by i- %3D

A: Here we have, 2x3y2+4yx2=6 ................... (1)  Differentiate with respect to x

Q: Find the differential of the function. u = 2x + 7 du = %3!

A:

Q: Find an integrating factor as a function of z = x ^ 2 + y ^ 2 for the following equation and then…

A:

Q: Find the differential of the function. = e dy =

A: y= e^(2x) dy = 2 e^(2x) dx

Q: Find dy for the given values of x and Ax. 3 y =x° - 6x +8; x = 1; Ax = - 0.1 - 6x + 8; x = 1; Ax = -…

A:

Q: Find dy for the given values of x and Ax. y = /2x + 5;x = 3; Ax = 0.13 What is the derivative of y =…

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Q: Find the antiderivative of the given derivative. dp dx ex+ 2e-2x (ex - e- 2x) 4

A: Given dpdx = ex + 2e-2xex - e-2x4

Q: Find the most general antiderivative of the function. Check your answer by differentiation. (a) f(x)…

A: According to the given information, it is required to determine the antiderivative of the given…

Q: Find the differential of the function. 8x y = e dy = 8e8x

A:

Q: Let y = 2x². Find the change in y, Ay when x = 4 and Ax = 0.2 Find the differential dy when x = 4…

A: It is provided that y=2x2. We need to determine ∆y for x=4, ∆x=0.2 and We need to determine dy for…

Q: Find dy for the given values of x and Ax. y=2x+9; x 1, Ax 0.12 What is the derivative of y = 2x +9?…

A: We have to solve

Q: Find the antiderivative of the given derivative. ds = 14t(5t2 – 1)3 dt S=

A: