Find df/dx and df/dy for the function.  f (x, y) = 2x2ey

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A: Let's find.

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Q: dy Find for dx 2. y = x(e*) = x(e*)

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A: It can be solved using chain rule for composition of two functions.

Q: Find dy/dx and d²y/dx2 for r = t2 +t +1 and y = t2 + 2t - 1.

A: given that x=t2+t+1 and y=t2+2t-1 we have to find dydx and d2ydx2 Now,          dydx=dydtdxdt…

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Q: 3) S, f(x)dx = 17 and f(x) = 2.4 , find , f(x)dx. %3D

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Q: Q2 Find (d y/d x)& (dy/dx²) y ex cosxy = y

A: a…

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Q: Q9/ * dy Let y = t² ,t = 6x ,Find %3D dx

A: We solve this by use of Chain Rule .

Q: Use the information to find and compare Δy and dy.

A: Given that, y=x2-5x=f(x) x=-3 ∆x=dx=0.01   As we know, ∆y=f(x+∆x)-f(x) dydx=f'(x)⇒dy=f'(x)dx

Q: f) e*dx-y'dy = 0

A: As per guideline we have to solve one question

Q: y(x) =x' (2x – r²)

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Q: Find df / dx and of / dy. f(x,y) = elx +y+7) (x +y +7) of I dx =

A: Given : fx,y = ex+y+7

Q: d y is a differentiable function of x . Write dx dy in terms of x , Y , and dx

A: Dear students as per our rule, in one session we can only solve one question. Please post the other…

Q: 1 df For the function y = f(x) = x - 4x – 3, x > 2, find dy 1 (f ')'(– 1) =

A: f(f-1(x)) = x is one of important property  of functions Let y =f-1(x) f(y) =x Differentiate both…

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A: We have given ,         y = 1x-1 As y is under the square root its means y ≥0 .

Q: Find dy/dx and d2y/dx2. x = et,    y = te−t

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Q: Find (d y/d x)& (d'y/dx²) ey cosxy = y

A: Here Hello. Since your question has multiple parts, we will solve first part (dy/dx) for you.…

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Q: Find dy/dx in terms of æ and y if V = 10,/ỹ. dy dr

A: The given function is:x5=10y

Q: dy Find dx for the following functions (i) y = (2x³ + 3x + 8)º (ii) y = esin(2a²+3x–2)

A: By using chain rule we find the derivative of the given functions with respect to x.

Q: Os:A- _Find · dx for the following functions: - xy² 1- 1+secy = 1 + x* 2- If y = and t = v2x +1 t2+1

A: "Since you have asked multiple questions, we will solve the first question (A) for you. If you want…

Q: FIND dy AND d?y OF x= VI-t AMD y= t° -at dx

A: Given x=1-t , y=t3-3t

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Q: Hw z] Find Sxsin(x)dx using this rule.

A: Given that, Using the chain rule, The integral becomes,

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A: Topic : differentiation

Q: Q:: Find dy for the following functions: - dx 5x²y5 - 3x = x* + 3y?

A: Given function is : We have to differentiate it with respect to x.

Q: Find dy for the following functions: - dx 6 1) у - 2 y = * 1 1 Vz² 8x4 2x8

A: 1) y = xn     dydx = nxn-1 2) y = 1x      dydx =-1x2 3) y = z     (a) if z is constant…

Q: Find dy for the given values of x and ∆x. ; y = 2x3 - 5x; x = -2, ∆x = 0.1

A: Given y=2x3-5xx=-2∆x=0.1 To find dy

Q: Find d'y/dx2 implicitly in terms of x and y. x²y – 4x = 5 d²y dx „2 II

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Q: dy If x and y satisfy the equation x³ + y³ = 4xy, find dx

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Q: Find dy/dx and d²y/dx2. x = e*, y = te-t

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Q: Find dy for the given values of x and dx. y = x + x2,x = 4, dx = 0.02 %3D %3D

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Q: dy in terms of x and y. x'+ y° = 2xy Find dx

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Q: Find the value of d-y/dx at the point defined by the given value of t. x- 6t 2 -3, y= t 5, t=1 3D1…

A: Take the derivative than eliminate the extra terms as required.

Q: dy Find of the equation x'y +4y=3x dx %3D

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Q: Find dy for the given values of x and ∆x. ; y = x3 - 2x2 + 3; x = 1, ∆x = -0.1

A: Given fx≡y=x3-2x2+3 x=1 and dx=∆x=-0.1

Q: dy Find dx for the following functions (i) y = (3x° – 2x + 8)º - (ii) y = ecos(3x²+4x-2)

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Q: dy Find dx for the following functions 3 (i) y – (sw' - (ii) y = esin(3²+4x-2) |

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Q: dy Find the equation of the solution to dx x°y through the point (x, y) = (1, 2).

A: