dy Assuming that y is defined implicitly by the equation x2 – y? = 85, the derivative at (8, 16) is, dx O 48 O 85 O 125 0.50 O 2.00

Q: O Find the derivative of the function. F(x) = | cos (*) dt

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Q: dy Find by implicit differentiation for the following equation. dx x+ In y =x'y" 5 5 dy dx

A: The given equation is x+lny=x5y5. We have to find the value of dydx. The product rule of derivative…

Q: dy for the function dx b. [1.5 marks] The derivative y = cot-l V14 – x²

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Q: dy of the function y = sec dx (1+ V4 + sin" (4 + z²). Find the derivative 山心

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Q: Find dy/dx using implicit differentiation at (0, -2) if x3- xy + y? = 4. 0.8 0.5 O-0.333 0.667

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Q: Find the derivative of the given function. y=cos(e^-5theta^3)   dy/dtheta=

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Q: dy Solve the derivative dx for the function: x = e'sint ; y = etcost

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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…

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Q: &y dy :5 cos t, the third order derivative dt For the function dt3 is 5 cos t -5 cos t -5 sin t cost

A: Here we will find 3rd order derivative

Q: dy Find the derivative, y' = dx , of y = sin(cos(tan(sec(csc(cot(x²))))))

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Q: Evaluate the derivative at the given value of x. dy Vx, find dx If y = 3 OA. 16 11 OB. O B. 16 11…

A: Differentiate the function y with respect to x to find dydx.

Q: nd the indicated derivative. 8 dv 7) if v=t+- dt t

A: We are asked to find the derivatives.

Q: COS X dy for y = dx Find the derivative dt . Here, 0 < x < T. V1 -2 0. Enter your answer as a whole…

A: Leibnitz Integral Rule:                      Let ϕ be a function of 'x' and 'z' .i.e, ϕ(x,z).Also,…

Q: Calculate following derivative if y(t) = 6t-3 + 41². (Use symbolic notation and fractions where…

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Q: Find the derivative of the following functions without skipping steps w = 7x sin (z?) – z? sin (y) +…

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Q: dy dx given 7æ = y Inr +7e is The derivative

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Q: dy Find the derivative of the function In 3y= y sin 3x + etz Answer.

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Q: dy By using implicit differentiation, find dx for xy + e* = sin(x+1). (x.y)-(1,0)

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Q: Use the Product Rule to calculate the derivative.

A: y=t-8t-1et+t2

Q: y = √√x S 0 10 5t cos (¹0) de dt

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Q: Q2: Find the derivative of f(z,x) = xe* + cos(2zx?) at a point (0,2,1)in the direction of V = i - 3j…

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Q: Find the derivative s of y writ xo. 145X +x?) 8.y= 5. y= e5X 15. Y = cos(e) 18. y = hm(2ēsint)…

A: As per authoring guidelines, if the question number is not specified, the first question or three…

Q: dy Find by implicit differentiation for the following equation. - dx x+ In y =x*y* dy dx

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Q: dy Q2/ Find by implicit differentiation dx cot y x2 1 + csc y

A: To find dy/dx by implicit differentiation

Q: Find dy using implicit differentiation (xy )° +y? = 5

A: Here we have to find the we have,  differentiate with respect to x,

Q: dy Solve the derivative for the function x arcsin e', y = v1 – e2t. dx

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Q: The derivative of y=eov? +cosh/x equals Select one: O y' = 2/x et +sinhx + sinh/x O None O y'=@ov +…

A: This is a composite function. Therefore we have to use rules for derivative of composite functions.

Q: 2x Using the definition of derivative, find Given y = dy %3D x+8 dx

A: dy/dx from definition of derivative is given below

Q: dy 9. Use implicit differentiation to find dx (a) x?y? = y3 +e2¤ (b) cos(x + y) = x sin 2y

A: Since multiple questions are posted the first question is answered as per our guidelines.If any…

Q: dy da Find the derivative of the function x° In 3y = y sin 3x + e5 x %3D Answer:

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Q: ind the derivative dy/dx of the function x=arctanet, y=1+e2t at t=0.

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Q: dy y = x3 e2. Show that dx 1. Consider. (3x2 + 2x4)eʻ and then find the second dy derivative dz2

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Q: Find the derivative of y with respect to t. 1 5 0<t< 8 y = sec 815 dy dt II

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Q: dy Find by implicit differentiation. d x e COs x e2y

A: Given query is to find the dy/dx using implicit differentiation.

Q: Assuming that y is defined implicitly by the equation a2 – y² = 61, the derivative dy at - dx (2,…

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Q: Calculate the derivative of the function r(t) i+ cos' (61)j + lIn (2t³)k. t - 2

A: Given : r(t)=-5t-2 i +cos-1(6t)  j +ln2t5 k We have to calculate the derivative of the given…

Q: Find the second of the finchion, ç x) = cos e derivative f (x) (x %3D %3D

A: Consider the given function: f(x)=xcosx The first derivative is calculated using the product rule.…

Q: dy Find the derivative for the function x = sin 2t, y = – cos t at the point t = dx 6.

A: Using derivatives of parametric equations.

Q: H.W: Use the chain rule to find the derivative of w = x² + y² with dw respect to t dt with x = cos1…

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Q: ind the second derivative in its simplified form 5. x= 1/t-1 , y= t/t^2 -1

A: Given :  x=1t−1  and  y=tt2−1

Q: Calculate the derivative with respect to x. tan(x?y) = (4x + 3y)³ dy dx

A: topic- differentiation

Q: Find the derivative of y with respect to v. y = In (cosh (2v)) – tanh? (2v) The derivative of y with…

A: The chain rule for differentiation is ddxfgx=f'gx.g'x.

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

A: Given data is : dxdt=5et-3 , x0=4 To find the antiderivative

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below y= 3 (Arccos…

A: Given function, y=3cos-1(2x)x(lnx)

Q: Find the derivative of V=(4/3)πr^2b. Assume that b is a constant. dV/dr

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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: dy Find the function y whose derivative - is 8.x+ 10 and y has a value of -2 when x is 1 dx y =

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Q: Find the derivative of the function 9Vi sin(t) dt. y = %3D

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Q: Can i get help step by step please

A: Given expression.

Q: dy Differentiate implicitly to find dx e**y = 8x + 3y +8 Evaluate the derivative of the each side of…

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