for partial derivative symbol, use the letter d. given: (siny - ysinx) dx + (cosx +xcosy) dy = 0 find: -test for exactness -solve exact de -continue solution of de -final answer please solve with complete solution

Q: 3. Given the equation y = x³ - 3x² + 3, determine all Critical Points and classify using the SECOND…

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Q: Find the relative extrema using both First and Second Partial Derivative test f(x) = Sin2x ; 0<x<n

A: i) The given function is fx=sin2x. Given that the domain of the function is 0,π. Obtain the first…

Q: Find the critical numbers of the function and apply the First Derivative Test to identify all…

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Q: 3 y (sinhx) + sinhx 3 4. step1 step2

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Q: Compute the indicated derivative using the chain rule. x = 6 + 3t, y = −8t;  dy dx

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Q: Find the approximate volume of a spherical shell whose linear radius is 3 inches and whose thickness…

A: Find your answer below

Q: find the derivative of y with respect to the appropriate variable. 1. y = cos-1 (x2)   2. y =…

A: Part 1. Given,

Q: Find the equation of the line tangent to the graph of f(x) = – = -3 cos (x) at x = 3 m(x – xo). You…

A: given: the function f(x)=-3cos(x) the point is x=-π3

Q: What is the derivative of y=arc sec V3a ? SzV3r 1 2r/3r 1 2r/Sr

A: Recall: ddxsec-1(x) =1xx2-1

Q: 3. (D - 3D? + 4)y = 40cos2x + 6

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Q: find the partial derivative of the function withrespect to each variable.35. ƒ(t, a) = cos (2pit -…

A: The given question is taken from the partial derivative in which we have to find the partial…

Q: Calculate the partial derivative using implicit differentiation of ey + sin (9xz) + 4y = 0. (Use…

A: Use the following: 1.(ef(y))'=ef(y)f'(y)2.∂y∂y=13.(sin f(y))'=cos f(y)f'(y)

Q: 1-x Find the derivative of y = arctan %3D 1+x

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Q: find the derivative using the appropriate rule or combination of rules. y = (cos 6x + sin x2)1/2

A: We have to find the derivative of the function: y=cos 6x+sin x212 We know the formula of…

Q: pret 30. f(x)= e2! dt 2-x

A: Given that: f(x)=∫2-xxexe2tdx

Q: Find the partial derivative. 17zy

A: Given, ∂xe17xy∂x We have to find the partial derivative.

Q: Find the derivative and simply. 1+cosx (a) f(x) = 1-cosx (b) f(x) = 3x5 cot-1 x

A: Part aGiven,          fx=1+cosx1-cosx

Q: Find the Indicated Derivative for Higher-Order 1. y = 10x5 - 21x4 + 13x3 - 6x2 + 5x - 1000 ; y(6)…

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Q: SW Solve for the first derivative of ,(x+5) x' +e x³ +e + Vx f (x) = V0.1 at x= 0.05 using FCD BCD…

A: f'(0.05)=336.6222-333.90350.008=2.71870.008=339.8375 App value of f'=339.8375 exact value of…

Q: Excrcise 2. dy Find the derivative dr where y satisfies the equation Y = In /x2 + y² arctan

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Q: x3 + xy² + x + i(x²y + y³ – y) x² + y2 F(z)

A: We have to find the derivative of f(z).

Q: Use centered difference approximations to estimate the first and second derivatives of y = ex at x =…

A: The central difference for first and second derivative is calculated respectively,

Q: What is the derivative of cosh-1(xy) + elog x = sec3(y2)

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Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: Given, y=coshtan-13x

Q: Find the derivative of the given function: 1. y = -cot (2x) + cot(2x) + 2x 3 secx 2. y = 1+tanx 3.…

A: As per guideline i am supposed to answer only three part of these question please re-post the left…

Q: Find the derivative a) y = x sinh-(x) – Vx² + 1 b) y = cosh-(2Vx +1)

A: The derivative is calculated as:

Q: Find the derivative of y with respect to x for y= ( cos 7x) ot /X Choose the correct derivative of y…

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Q: The third derivative of y = sin is 1 -sin b) y" = --cos 1 а) у 8. 2 2 c) y" =-8sin d) y" = -8 cos

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Q: Determine the derivative of y=tan(cos-(4x)). -1 A y'=. 4XV1- 16x2 None of the given choices -1 y's…

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Q: sinh(3x) g(x) 3

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Q: 1. cos(xy) + secy = 5

A: Differentiation is the process of determining the derivative also known as the derived function. one…

Q: y = csch /sec(x³ + 2)

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Q: Find first and 2nd derivative guncic 2 tan2x 3.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Solve for the derivative of t y =2 V3-z Previous

A: This is a basic differentiation problem

Q: Find the partial derivative. z = sin (6

A: We have to find

Q: 2. Find the derivative of y = tan°(/1 – x²). Make any obvious simplifications. %3D

A: Using chain rule of differentiation.

Q: The temperature in degrees centigrade (°C) at each point (x, y) on a curve 2x + y = 3 is given by…

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Q: Find the Derivative of the given function. If y = cos +zv1- 2² , then dy dz Note: simplifying the…

A: Find the derivative

Q: Solve for the derivative of y=ln ln [cos2(3x)] With the answer -6 tan tan (3x)  Show solution.

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Q: y = eVx+cosx

A: To  findderivative of1)y=ex2+cosx

Q: The first derivative of a continuous function y = f(x) is y' = x(x- 21). Find y" and then use the…

A: Given: i. The first derivative of a continuous function y=fx.ii. y'=xx-212 To Find: i. y''ii. Use…

Q: Use Richardson extrapolation to estimate the first derivative of y = cos x at x = π/ 4 using step…

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Q: The derivative of y = cos²x is %3D

A: Given -                  y= cos2 x . We have to find the derivative of y.

Q: W = у + 2z дz дудх' дх? ду

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Q: Determine the derivative of y=tan(cos-'(4x)) -1 A y'= 4x2/1- 16x2 - 4x B y'= V1- 16x2 c) None of the…

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Q: Find the derivative using the appropriate rule or combination of rules. y = (cos 6x + sin x2)1/2

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Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLI 3x 1. Y= Arctan

A: Since we are given with the multiple number of question and our guideline is solve first question…