Find the derivative of y = Arccot (tan(esecx)) in its simplest form %3D A. y' = e Sec*secxtanx B. y' e secxtanx %3D sec2 (esecx)esecxsecxtanx 1+ tan2 (esecx) С. у' -sec2 (esecx)esecsecxtanx D. y' = 1+ tan? (esecx) O A B. O none of the above

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Q: Find the first derivative: y= ln v5x3 –- 2 5, O y = 222 %3D 523-2 O y' = 322 5z3-2 O y' = 622 5z3-2…

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Q: Find the derivative. 2 - - dy dx - if y(x) = 1 x + 3 dy dx ||

A: This question is based on Chain rule diffrentiation. d/dx{f(x).g(x)} = g(x)d/dx{f(x)} +…

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Q: Find the derivative of f(x, y) = xey + cosxy at the point (2,0) in the ection.

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

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Q: 3. The derivative of /(x) = In x at x = 3 when hourrent = 0.001 and hprevious = 0.002

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A: ddx(xn)=nxn-1 ddxx =12x ddxtan-1(x)=1x2+1 Chain Rule: if f=f(u) where u is a function of x then…

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

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Q: , find the derivative of y with respect to the appropriate variable 21. y = ln cosh y - 1/2 tanh2 y…

A: (21) Consider the provided equation, y=lncoshy-12tanh2y Find the derivative of y with respect to the…

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

A: SOLUTION:-

Q: find the derivative of y with respect to the appropriatevariable. y = (sech θ)(1 - ln sechθ)

A: We have to take derivative with respect to θ. dydθ=sinh θ ddθ1-ln sech θ+1-ln sech θddθsinh θ

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A: Given: y=1+cosxsinx we know that for finding derivative of given function we need to use product…

Q: Find the derivative using the product rule. y = eX In x

A: y=exlnx

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Q: Calculate the derivative of y=arctan√ex at x=0.

A: We differentiate both sides with respect to x using the chain rule.

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

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Q: The derivative of the function y = etan(4x) is: a) y' = tan (4x)etan(4x) b) y' = 4 sec²(4x) etan(4x)…

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A: Given The chain rule of derivative is given by: The derivative of the inverse hyperbolic function…

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A: Consider the provided function y=arctan(x).

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Q: Find the derivative of y: 1- y = (cos 0)V2 Cos O 2- y = 7sec ln 7 3- y = 2sin 3t

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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

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

A: Please refer the attached image for complete solution.

Q: B) Find the derivative of the foiiowing: 1) y = 2sin2(5x) ,2) y = x, 3) xsin-14y = y tan-14x 4) y =…

A: As per the company  guidelines we have to solv first 3 subparts if suborats are not mentioned  So…

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Q: What is the Derivative of: y = extan x

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A: Differentiating with respect to x, we get

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

Q: 2. Calculate the derivative of y = arccos(e arcsin(x2)

A: Let u=arcacos(e^x) and v=arcsin(x^2), then y=u/v

Q: y = cos /sin(tan Tx) %3D

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Q: 1.Find the derivative of y = - arcsin %3D V4-x2

A: Given:        y=x4-x2-arcsinx2 differentiating on both sides     dydx=ddxx4-x2-arcsinx2…