If given y'= f'(x), would would need to be given in order to find the +C

Q: Find the derivative of the following functions using the long method.(general process) Y=3+4x-x^2

A: This question is related to derivative. We will solve this problem by using basic defination of…

Q: If ƒ(x) = x^n, n>=1, show from the definition of the derivative that ƒ′(0) = 0.

A: Given,

Q: 1. Find derivative of given function defined as follows. y = (8x²-3x³) ³

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Q: Find the 1st derivative: Complete Solution.  y=2cos2 t/2

A: y=2cos2 t/2

Q: Find y" by implicit differentiation. x² + 4y² = 4

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Q: 5. y= 2arctan(vx)

A: We need to evaluate the derivative of the following function y = 2arctanx

Q: Find the derivative of y 16 In (In(6x)). (Use symbolic notation and fractions where needed.) dy dx…

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Q: 1. Find the first derivative " if y = x sin 27x . dx

A: Given:  y=x sin 2πxTo determine the firstderivative.

Q: I FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORN 3x-4 1. y = Arctan 2. y = 2 Arccos (1…

A: y=Arctan3x-44

Q: 'the line tangent to the graph of y= In(3x) + 2x e at x=1 6 Jx-1 by using quotient rule. Vx +1 for…

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Q: Find the derivative of Ox²2cosx + 2xsin x O 2xcos x O x² sin x + 2xcos x O x2cosx y=x²sinx

A: We know that if f(x)=g(x)h(x) then  f'(x)=g'(x)h(x)+g(x)h'(x)

Q: 10. f(x) = cos (2x)e*²-1

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Q: find y' by implicit differentiation. ex/y=3x-2y

A: To find the derivative of the equation using implicit differentiation.

Q: Solve the first derivative of f(x) = 52x+1 at x = 0.5 using backward finite-divided difference and a…

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Q: 4. If y = x cos x determine the 5th derivative. [y(5) = (60x – x³) sin x+ (15x² – 60) cos .x]

A: To find out the fifth derivative.

Q: Find by implicit differentiation for x2+y2=25 at point P(0,5).

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Q: fx て (X)

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Q: Compute the second derivative with respect to x of 3x3 + 8 y = at x = 1.

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Q: 4. Find the first order derivative with respe. to x of the function u = In/x2 + y2 + z2 %3!

A: The function is u=lnx2+y2+z2

Q: Find the most general anti-derivative of f(x) = 9Vx +1+ cos x.

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Q: Compute the indicated derivative using the chain rule. X = 4 + 3t, y = -7t; Oy

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Q: y = e* (In x)² %3D

A: Here we want to find the first derivative of the given function. For finding the derivative we use…

Q: If we are getting the partial derivative of f(x,y) with respect to x, we are letting the y variable…

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Q: What is the value of the first order derivative of the closed function given as…

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Q: Find the derivative of the following functions using the long method.(general process) x=2y/y-1

A: Here I explained how to find dx/dy.

Q: Suppose that the first derivative of y = ƒ(x) is y'= 6x(x + 1)(x - 2). At what points, if any, does…

A: The derivative of the function y=f(x) is y'=6xx+1x-2. We have to find at what points, if any, does…

Q: 2 If 3x? + 4x + xy = 1 and y(1) = - 6, find y'(1) by implicit differentiation.

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Q: 3) Suppose 2X z = xe cos 3y, find all the first and all the second derivatives.

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Q: 4. Find the first derivative of y = 170x tan (20x)+- In(49 – x 5e7-8cos

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Q: If 5x + 5x + xy = 4 and y(4) : y'(4) by implicit differentiation. – 24, find -

A: Given 5x2 + 5x + xy= 4 and y(4) = 24

Q: If 3x + 3x + xy 4 and y(4) = - 14, find y' (4) by implicit differentiation.

A: According to question,Given equation,3x2 + 3x + xy = 4,y4 = -14

Q: If 5x^2+2x+xy=4 and y(4)= -21, find y’(4) by implicit differentiation.

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Q: The second derivative y" of y = x3 + ex – sin(2x) is . 1. O y" = 6x + eX – 8 sin(2x) 2. O y" = 3x +…

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Q: x3+6x-2 dx x4+6x2

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Q: (a) By using the chain rule and the derivative (1, if x>0 4 (1xl) ={-1, if x<0 %3D find (lx-x) vxE…

A: Use the chain rule to differentiate the above given function and than use the given derivative of…

Q: Find the approximate root of y = 2x2 + 4x – 6 when x = 0.01 using differentials. -

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Q: 16. What is the derivative of the function: * y = sin(6x² - 1) y = 12x cos(6x² - 1) y' = x cos(6x² -…

A: Solving the problem by finding the value of the derivative.

Q: find a linearization at a suitably chosen integer neara at which the given function and its…

A: Consider the following function: fx=x2+2x Differentiate fx with respect to x: ddxfx=ddxx2+2xf'x=2x+2

Q: If ƒ(x) = xn, n ≥ 1, show from the definition of the derivative that ƒ'(0) = 0.

A: Now the derivative of a function f at a point 'a' is given by,

Q: Compute the derivative for y= (e^-4x sin^2(x)) / (x^2 + 3x + 1)

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Q: 10. Solve for the derivative of y IMPLICITLY 22 + vx³ + 2y= y²

A: Topic =Derivative

Q: Compute the second derivative with respect to r of 3x + 8 y = at x = 1.

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Q: Q2 find the derivative of the following: 1) y = 2stn (5x) 2) y = Inxn cosh 5x ,3) xsin14y = y tan-4x

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost other parts as…

Q: Find the first derivative of x² + 3xy + y3 = 10 implicitly.

A: The given function x2+3xy+y3=10

Q: If 2x + 3x + xy = 1 and y(1) = – 4, find y'(1) by implicit differentiation.

A: We can find the value of y'(1) by differentiating both side w.r.t x

Q: If 5x + 2x + xy = 3 and y(3) 16, find y'(3) by implicit - differentiation.

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Q: If 4x + 5x + xy = 3 and y(3) = – 16, find y'(3) by implicit differentiation.

A: Given, 4x2+5x+xy=3 and y(3)=-16

Q: If 3x + 2x + xy = 4 and y(4) = – 13, find y'(4) by implicit differentiation. %3D

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