implicitly dx

Q: Assume that x and y are both differentiable functions of t and are related by the equation…

A: topic - derivative of a function

Q: Let y tan(4x + 4). Find the differential dy when x = 1 and da 0.4 Find the differential dy when a =…

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Q: Assume that x and y are both differentiable functions of t and are related by the equation…

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Q: Find the derivative of y with respect to x. y = tan (In 3x) O A. 1+(In 3x) 21 O B. x(1 + ( In 3x)) 1…

A: Given: The function y=tan-1ln3x, To determine: The derivative of y with respect to x,

Q: cos x + sin y = e e`ty

A: Given,          cosx+siny=e-xy

Q: Let y = tan find the differential dy of the function.

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Q: suppose that x and y are both differentiable functions of t and are related by the given equation.…

A: Given:        x2+2xy=y3

Q: If f(x) = xe , x >0 and (Y = ln(X)), then the PDF of Y is %3D (In(1)² (In(y))e ye

A: Answer: ⊙ ey-12e2y

Q: Find the value of the derivative of ƒ(x, y, z) = xy + yz + xz with respect to t on the curve x = cos…

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Q: Let v(x, y) cos(4x) sinh(4y). Find f(z)with Im( f(z)) = (x, y).

A: using the concept of cauchy - Riemann equations to find u and putting  the value of u and v (given)…

Q: Let x = x(t), y = y(t) and z = z(t). Differentiate the following function with respect to t. 2°…

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Q: Let y = f(x), where f(x) = 7x³ + 3x. Find the differential of the function. dy = X

A: The differential of y is the derivative of the function times the differential of x,

Q: Find dy/dx by implicit differentiation. (a) Vry = x- 2y +1 (b) y³e2 + 53y = sec(3x)) (:) (b) x = In…

A: To find the implicit differentiation.  We use the , basic product and chain rule of differentiation.…

Q: Find dy/dx implicitly and find the largest interval of the form −a < y < a or 0 < y < a…

A: Given Data The function is cosy=x.   Differentiate the function cosy=x with respect to x,…

Q: 1. Find by implicit differentiation (a) e=/y = x – y (b) sin (x + y) = COs r + Cos y

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Q: Given e^x - x^2 + y^3 = xy, find dx / dy using implicit differentiation

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Q: suppose that x and y are both differentiable functions of t and are related by the given equation.…

A: x2y2=2y3+1

Q: Find the most general antiderivative of the function. f(x) = + 3 cos x

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Q: Given Lve f(t) dt = In(x) cos(x) + sin(3) :L.e- f(t) dt, find f(x). sin(3)

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Q: Let y be a function of x . If y“ = tan(x² +y² ) + e®, find dy by implicit differentiation. dx

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Q: Let y = f(x), where f(x) = 6x2 + 3. Find the differential of the function. dy =

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Q: let f(x,y)= z-sin(xy),x= t, y= lnt, z=e^t-1. find derivative of f directly and by using chain rule…

A: Plug the given expressions of x,y, and z. Then differentiate directly. And plug t=1

Q: Find the derivative, dy/dx: In-2x O y = -() In' 1-4 la > 是 In' x 2/1+2In ४ In' z In z 2w In² z ) In'…

A: This question is based on diffrentiation.

Q: Calculate the error of approximation with EA for the following functions TC f(x = 4 cos 5x when x =…

A: We know: lim∆x→0∆y∆x = dydx…

Q: Let y= tanx .(a) Find the differential dy .(b) Evaluate  dy and ∆y if x= and π /4 and dx =-0.1.

A: Given function is (a) Differentiating with respect to x, we get

Q: Find dy/dx implicitly and find the largest interval of the form -a <y <a or 0 < y <a such that y is…

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Q: Let y = tan(2x +5). %3D Find the differential dy when x = 5 and dx 0.4 Find the differential dy when…

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Q: Let y = f(x), where f(x) = X - 6 Find the differential of the function. dy =

A: Diffrential is just put function of y and x separate and then just find f'(x). Now put the value of…

Q: Let y = tan(3x + 6). Find the differential dy when x = 2 and dæ 0.2 Find the differential dy when x…

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Q: If f(x,v) = ex In(5xy) find dy?

A: Given: fx,y=ex2ln5xy. To find: ∂2f∂y2 Solution: In partial derivative we differentiate with respect…

Q: Suppose that y is a differentiable function of x and w = sin(y2). Express the derivative of w with…

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Q: Where is the function f(x, y) = e' arctan (VI+In(x+y)

A: In this question, the concept of continuity is applied. Given function is fx,y=etan-11+lnx+y

Q: suppose that x and y are both differentiable functions of t and are related by the given equation.…

A: Suppose that x and y are both differentiable functions of t and are related by the given equation…

Q: Suppose that x and y are both differentiable functions of t and are related by the given equation.…

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Q: Find the general antiderivative of the given function. f(x)= sin (7y)+ cos (3y)

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Q: Given x +2xy– y² +x= 2. Find dy at (1,2) using implicit differentiation. dx

A: We need to use simple  differenciation

Q: Suppose that x and y are both differentiable functions of t and are related by the given equation.…

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Q: d rx Cos t dt dx J-x Vt2+1

A: Definition used -                 The first fundamental theorem of calculus -…

Q: Find by implicit differentiation: dx a. cos y =x+ y

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Let y = f(x), where 3x? f(x) : Зx + 4 ,2 x + 4 Find the differential of the function. dy =

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Q: Let y = f(x), where   f(x) = 4x2 + 6.   Find the differential of the function.   dy =?

A: Given: y=fx=4x2+6 now differentiating given function with respect to x

Q: Suppose that y is a differentiable function of x and w = cos(y5). Express the derivative of w with…

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Q: Determine the numerical value of dF of the function F(x, y) = e-3y cos(nx) given that X = 1, y =…

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Q: Let f(x,y) = 8x + 10y with x(t) = cos t, and y(t) = sin t. Find the derivative of w = f(x,y) with…

A: Here we have to find the derivative of w with respect to t.

Q: Suppose g(x) = = A, and f' (1) = B. Find the derivative In(In(In(f(x)))), %3D f(1) = dg dx \x=1…

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Q: Find the differential of the function. Z = e-8x cos(5xt) dz z = dx + dt %3D

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Q: Suppose that x and y are both differentiable functions of t and are related by the given equation.…

A: Consider the equation 5xy-5x3=15 Here, the objective is to find dydt in terms of x,y, and dxdt

Q: Given that x'+3xy-y' = 6. Compute dy in terms of x and y by using implicit dx (c) differentiation.

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Q: Find the general sebution of the oDE dy Sin(x+y)+ Cos (X+y) %3D dx

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