Shows the derivative function of: TC = Q³ + 2Q²  + FC(Q), where TC = Total Cost and FC = Fixed Cost.

Q: Find the derivative of f(y) = 2 sin y + sin² y and then use it to find all coordinates on the graph…

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Q: Find the derivative of the function. 1 + x 1 - x y = arctan y' =

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Q: Find the derivative using the long method y = vx + 2

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Q: The instantaneous velocity of a particle is defined as the derivative of some functions. Select one:…

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Q: Find 3rd order derivative of y with respect to x , if x = a sint, y = b cost.

A: Given: x = a sint y = b cost -------------------------------------------------- To find: 3rd order…

Q: Find the derivative of the function f(x,y) = x +xy + y at the point (- 2,- 1) in the direction in…

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Q: Find the derivative of the function f(x.y) = tan -1y at the point (- 9,9) in the direction in which…

A: To find the derivative of a function at a point (-9, 9) in the direction in which the function…

Q: Vt- 4 V3t - 4 y =

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Q: (x-y) atfy (1, 1) a+y

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Q: Find the derivative of the function using 3-step rule: v (t) = -.

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Q: Find the derivative of the function y = arctan x + x 1+x²

A: Given: y=arctanx+x1+x2Recall the formulas:ddxarctanx=11+x2     ..........1ddxuv=vdudx-udvdxv2…

Q: Calculate the derivative: + (2t3 – 9t) dt = dz

A: Evaluate the given derivative as follows. ddx∫0x2t3-9tdt=ddx2t44-9t220x=ddx2x44-9x22-0

Q: y = = Vsin va

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Q: Find the derivative of the function. x + 6 X-6 y' = y = In

A: I have appended the formula used in the solution part of the question.

Q: Approximate the derivative of y=x at x=1 by forming small changes.

A: SOLUTION:-

Q: Obtain the derivative of the function y (3 sen(4x))° ( tgʻ(2x)) y = (sec(2x))* – 1

A: This question is based on Trignometric application and diffrentiation of function.

Q: Calculate the second derivative y : Vx - /y = 1

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Q: cosx y =-

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Q: Compute the derivative using derivative rules. y= cos(1/x) / (1 +x 2)

A: Derivative: The rate of change of a function with respect to a variable. y=fxy'=limh→∞ f(x+h)-f(x)h

Q: Find the derivative of the function y = 2x arccos x − 2√(1 − x2 )

A: If the two functions f(x) and g(x) are differentiable (the derivative exist) then the product is…

Q: 1 y = ┤㈑┤慈┤

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Q: Compute the derivative using derivative rules.

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Q: Find the derivative of the function. h(x) = x² arctan(8x) %3D

A: To find the derivative of hx=x2tan-18x

Q: Find the derivative of the function y= arctan x +x/1+x2

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Q: Find the derivative of the function by using the chain rule. sinx (a) h(x) = tan(x³ sinx) (b) y= %3D…

A: To find the derivative of the given function using the chain rule, which is:…

Q: The second derivative of the function is y = arctan 2x

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Q: Find the derivative of y = x. %3D

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Q: Find the derivative of the function. y = In(Icsc(7x)|) y'(x) =

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Q: Find the derivative of the function defined by the equation x+y=arctan(xy).

A: To find the derivative of the given function.

Q: Find the derivative of the function. y = arctan 1 + x 1 - X y' =

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Q: the value of x at which the FOC is satisfied give us the ........(maximum/minimum) of the function…

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Q: (a) h(x) = tan(r'sinx

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Q: Find the derivative of y with respect to x. 2x + 3 26) y = sec-1

A: Let, z=(2x+3)/5   We differentiate using the chain rule

Q: find the derivative of y with respect to the appropriatevariable. y = sec-1 (2s + 1)

A: The given function is y=sec-12s+1.

Q: Calculate the derivative at the point (0,0) of the function given by the equation x=y−2siny.

A: We differentiate both sides with respect to x

Q: Find the derivative of y with respect to s. y= sec -1(9s5 + 5)

A: To find the derivative of  y=sec-1(9s⁵+5)

Q: ,2, (x²–1)* Dx (1+8x)5

A: To Determine: find the derivative using chain rule  Given: we have y=x2-141+8x5 Explanation: we have…

Q: What is the first-order derivative of y = x^y?

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Q: Determine the derivative of y. y = eV14x+6 %3D

A: Please refer the attached image for complete solution.

Q: Find the derivative of the function f(x y) = tan-1Y at the point (5, -5) in the direction in which…

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Q: If f(x,y) is a real valued function of two variables then what is the second derivative of f?

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Q: Use implicit differentiation to calculate the value of derivative y' at the solution point (2, y) =…

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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: Find the derivative using the definition 1- y = vx -1

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Q: Using the đết of derivative, fin rivative of f(x) = x² + 2x + 2.

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Q: Approximate the derivative of y=x² at x=1 by forming small changes

A: We have to find the derivative of the function y=x2 at x = 1 by forming the small changes.

Q: b) y = cosh(2Vx+1)

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Q: Find the derivative of the function y using the increment method or three- step rule. vx +1

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Q: Find the derivative of y with respect to propriate variables. - y = sech0(1 –- In(sech0)) y = 4Vx…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the derivative of y = arccos x + x 1-x²

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