For the demand equation, use implicit differentiation to find dp/dx. (p + 5)(x + 8) = 200 dp dx

Q: A factory’s weekly production costs y and its weekly production quantity x are related by the…

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Q: Find dx2 by implicit differentiation, given x³ + y³ = 8. d?y dx2

A: Given that, We have to find the value of  For that simply follow the step given as below

Q: By using the definition of the derivative, find the for: - dx 1- f(x) = Vx

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Q: Find the derivative of the function y = sech(4x − 1)

A: We use the chain rule to find the derivative.

Q: Compute the indicated derivative. d + 7x)(x2. dx x = 2

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Q: B. By using the definition of the derivative, find the for: - dx f(x) = x -

A: Explanation of the answer is as follows

Q: Y = V(2x + 1)2 yiv %3D

A: Here given as y=2x+123 Differentiate with respect to x…

Q: Find the derivative of the function y = sin '(- (5x + 4)).

A: Given query is to find the derivative of the expression.

Q: Find the derivative of the function. y = (tan-(7x))2

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Q: Find the derivative of the function. y = (tan-1(8x))2

A: Function y=(tan-1(8x)2 To find the derivative of the given function.

Q: Find the derivative of the function. 4 y = 3x3 - 13x - x6 dy dx

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Q: Find the derivative of the function. y3 (4x* - 7x +7)* dy dx (Type an expression using x as the…

A: It is given that y=4x4-7x2+74.

Q: Find the derivative of the function. y = ln√(x2 − 4)

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Q: Find the derivative y = (2x – a) (x² + e-")

A: We havey= (2x-x3)(x2 + e-x)

Q: Find the derivative. y = e(ln x)2

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Q: Find the nth-order derivative of the function y=(3x2−2x)lnx, x>0.

A: Use the product rule

Q: Find the derivative of f (x) = 9ª ln (x).

A: Given: f(x)=9xln(x)

Q: Find the derivative of the function using the definition of derivative. f(x) = rx + q

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Q: Find the derivative of the function y=2x+12x−1 at x=1.

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Q: Z = 1+x2 ; d'z/dx?

A: Given: Z = 21+x2 To find: The derivative, d2 Zdx2 in simplified form.

Q: Find the derivative of the function: y = tan-(– 2x + 4)

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Q: Find the First Derivative of the Given Function: 2.) x=sec53t

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Q: Find the derivative. y = In /x+7 y' = D

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Q: y = (cos(x²))*

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Q: cosx y =-

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Q: Find the derivative of the function y=1x+1√x+13√x.

A: Given:  y=x+x+13xDifferentiation formula:ddxxn=n.xn-1ddxx=1ddxc=0

Q: Find the derivative of the function. 8 +- +/5 y= 4. dx %3D

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Q: use the Power Rule to compute the derivative.

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

Q: - [5√3x d dx

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Q: 1. x² - 2xy + y² − 6x + 2 = 0

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Q: Find the derivative of the function.

A: The given function is y=x2-sin2x4

Q: Can you help me step by step with this problem?

A: Obtain the derivative of the given function as follows.

Q: For the demand equation, use implicit differentiation to find  dp/dx. 17p2 + 5p + 6 = x

A: Given:

Q: Find the derivative of the functiony=tan^2(6x)

A: we have to find derivative of f(x)we will use following rules

Q: Find the derivative of the function.

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Q: Find the indicated derivative using implicit differentiation. x²y – y2 = 5; dy dx dy dx

A: The given function is: x2y-y2=5

Q: Calculate the derivative. z = 3x2 + 1 dz dx Ix = -2 ||

A: Given z=x3x2+1dzdx=ddx3x2+1-x*ddx(3x2+1)(3x2+1)2     =1(3x2+1)-x(3*ddx(x2)+ddx(1))(3x2+1)2

Q: - Find or y' by implicit differentiation dx - 4x 36

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Q: By using the "definition of the derivative" find 2 of y = v2x? dx

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Q: Find the derivative. y = In /x+5 y' =D

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Q: 8. y = va? + x²

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Q: Find the derivative of the function. y = 3x 8 * - 12x - dy dx II

A: Explanation of the answer is as follows

Q: Solve by definition of derivative if f(x)=x+Vx AND also Find x? w.r.t x*

A: fx=x+x Now by the definition of derivative, we have…

Q: Find the derivative of the function. y = sin (x + 2)

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x³-5x)* 1. у3D ; d'y/dx³

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Q: Find the derivative of the function. y = 5x 9. 3 - 13x - ヤ dx

A: y=5x3-13x-9x7

Q: Obtain the derivative of the function f(x) = 6cos(2x) TC and find the value of this derivative when…

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Q: Use the definition of the derivative to find df/dx. f(x) = x/(1-3x)

A: Given, function

Q: Find the Indicated Derivative dy - 3x* + 2x³ – x + T1, 1. y= 4x5 dx

A: 1. derivate with respect to x