Find an equation of the line tangent to f(x) = xcos x at x = -4. (Round coefficients to 3 decimal places.) OA. y= 2.374x + 12.109 В. у%3D 2.374х - 12.109 y = 3.681x + 12.109 OD, y= 3.681x – 12.109

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Q: Find the derivative dydx for the function x=1t+t, y=1t2 at the point t=12.

A: Here given

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Q: If the acceleration of a particle is given by ä = sint i+ cost +e k, find the relity and position…

A: The acceleration of a particle is…

Q: 4. [ ]Find the derivative of y with respect to the given independent variable: Ins 7x (a) ex³y = 2x…

A: Given equation ex2y=2x+2y   As per our guideline, we  supposed to answer only the first three…

Q: What is the derivative of y = 34? a. y (4)(3**) b. y = 4x3 c. y = (4)(3*) In(3) d. y' = In(4x) + 34*…

A: We can answer all three subparts as below.

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Q: 1. Find the rate of y with respect to x at the point (5, 8) if 7y-ry 4. dy da

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Q: Determine the anti-derivative of Y = 2e3x +5 and use the fact that y(0) = 7 to %3D dx determine c,…

A: We first separate the variables and then integrate  c= integrating constant Formula used:

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Q: 2. Find the derivative of the function f(x, y) = 2x² – y² at the point M = (1,1) in the direction…

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Q: compute the derivative.  h(y) = y tanh(4y)

A: The derivative will be computed using the product rule of differentiation (fg)'=f'g+fg'. Also the…

Q: Find the derivative of y. 30) y = In (sinh 5x) D . sinh 5x A) coth 5x B) 5 csch 5x C) 5 coth 5x

A: We can answer the question as below.

Q: 1. Find the rate of y with respect to x at the point (1,8) if 7y² - xy³ = 4. dy dx

A: Given: 7y2-xy3=4 and Px,y=1,8   As we know that; The Power Law: ddxxn=nxn-1 The Product rule:…

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Q: Q2// A) Derivative following functions by using chain rule m 1) y = Vu, 2) y = 4u, -Va+1 Vx+1

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Q: Find the total derivative dy dw. Y=3x+2w+5z x=4 In(w*) z=e43x³

A: Given, y=3x+2w+5z2x=4ln(w2)z=e-z+3x-3

Q: 5. Find the rate of change of the distance D between the origin and a moving point on the graph dx…

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A: Given,   x2+y2=45To find dydt, when dxdt=-2 and x=3

Q: Calculate the derivative indicated.

A: Since, y=4t-3+3t2  -(i)dydt=ddt4t-3+3t2=-12t-4+6t⇒dydt=-12t-4+6t

Q: y" +6y' +10y=0; y(0) = 2, y'(0) =

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Q: 4y4 at the Find the maximum rate of change of the function f(x, y) point (5,1)

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A: The derivative of function f(x,y) can be determined by the gradient of the function,…

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A: To find the equation of tangent line of the given graph.

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A: NOTE: Refresh your page if you can't see any equations. . the given point is (2,3) so x=2 and y=3…

Q: The derivative of y= sech-1(x sechx)+e$inh (Inx) equals Select one: – x sechx tanhx+ sechx O y:…

A: Given

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Q: Find2 of the parameters: x = sin 2t and y = - cost at t =

A: In this question, we need to find dydx. It is given that x = sin 2t and y = -cos t

Q: %3D 10. Find the derivative of the function )= V 5T4 using the limiting process.

A: Given,

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A: We have to solve the differential equation…

Q: Q11) For the z= (2x+3y)10,which is correct ?partial derivative

A: Given,  z = (2x + 3y)10 To find the partial derivatives.

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A: First find gradient and take magnitude for max rate of change

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 ; d'y/dx 1. y = 2. Y = (7x + 2)5…

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Q: Let fx) - V4X-3 vux-3 %3D O Find the arer age rate o ofe change in respect to x aver the intoy vel…

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Q: Find the derivative of y with respect to x.   Y=lnx /3+2ln x   dy/dx=___________

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Q: Find the derivative of the function f(z) = 3z² +7z at I = a.

A: Given,            f(x) =3x2 + 7x  and x=a

Q: Find the gradient of the tangent to the curve xy“ + y+ ( log_(x – 2))² = 14 at the point (3, 2).

A:

Q: Compute the second derivative of e^x+y+y^2+x^3=0. y" denotes, d^2y/dx^2

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Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. F(x,…

A: SOLUTION-

Q: 5. Implicitly differentiate the equation (xy)-y=x to find dx

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Q: The derivative of y=eev* +cosh x equals Select one: O y' =eev +sinh 2/x 「Oy=SeV全 + sinhx 2/x ev…

A: Given: y=eex+coshx To calculate: Derivative of y