Use the following derivative function f' to determine the local minima and maxima of the function f: 4 4x f'(x) = 18 sin 3x [-, on 3 ' 3

Q: Find the equation of the tangent line to the graph of y at (2, 금). Use the limit process in finding…

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

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Q: Find the nth-order derivative of the function y=arctanx at the point x=0.

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Q: Find the derivative of the function. 1-X y arctan, 1+x y'= I3D

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Q: find the derivative of y with respect to the appropriatevariable. y = cos-1 x - x sech-1 x

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Q: What is the derivative of f (x) = cosh(x) + sinh(x)?

A: Given that f(x)=cosh(x)+sinh(x) find the derivative of f(x)

Q: find the derivative of y with respect to xas appropriate.11. y = ln 3x + x              12. y = 1/ln…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Y=2In(Sin x)

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Q: find the derivative of y with respect to the givenindependent variable. y = θ sin (log7 θ)

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Q: Use the First Derivative Test to find the relative extrema of ƒ(x)=· sin x on (0,27).

A: The given function is- fx=x2-sinx  Differentiating f(x) w.r.t x- f'x=12-cosx Put f'x=0,…

Q: Determine the derivative of the following functions. 1. y = tanh (8x – 3) 2. y = 2x sinh(6x – 5)

A: Here we will use standard formulas for derivative of inverse hyperbolic functions, product rule of…

Q: Find the derivative of f(x)=arctan(1/x) and simplify

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Q: find the derivative of y with respect to the appropriatevariable. y = sinh-1 √x

A: Find the derivative of y with respect to the appropriate variable.

Q: Evaluate the derivative of y = sin'6x + In /1- 36x, where x= 0.125. dx |x= 0.125 U (Type an integer…

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Q: find the derivative of y with respect to x, t, orθ, as appropriate. y = ln (3te-t)

A: We expand the function using the properties of logarithm

Q: F(x) 1+ xe

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Q: Find the derivative using the appropriate rule or combination of rules. y = x cos(1 − 3x)

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Q: Find the derivative of y with respect to θ, y=6θ(sin(ln(6θ))+cos(ln(6θ))).

A: To find derivative of y.

Q: find the derivative of y with respect to the givenindependent variable.

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

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

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: Find a function that has x^6 as its derivative without using integral knowlegde.

A: In this question, we need to find a function that has x6 as its derivative.

Q: find the derivative of y with respect to the appropriatevariable. = cosh-1 2√x + 1

A: Given: y=cosh-12x+1Here ,we havecoshy=2x+1Taking the derivatives on both…

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: find the derivative of y with respect to the appropriatevariable. y = 6 sinh x/3

A: Given function: y=6sinhx3 Using the common differentiation of hyperbolic function: dsinhaxdx=acoshax

Q: Use three-point midpoint formula to evaluate the first derivative of y = cos(x) at x =; using a…

A: The three-point midpoint rule to calculate f'(x) is f'(x)≈f(x+h)-f(x-h)2h, where h is the step size.

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

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Q: Find the derivative of y = arccos 4x with respect to x.

A: Given that: y=arccos4x

Q: Consider f(x) = 3 − cosx on the interval [0, 7]. When will the first derivative equal zero?

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Q: Find the derivative of the function. f(x) = arctan(3x)

A: We  can make it easier for you.

Q: Which of the following has a derivative of f (x) = 2x (arctanx + arccotx)?

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Q: Find the derivative at the given x-value with the appropriate rule. y=4-18sqrt x at x=4

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Q: find the derivative of y with respect to the appropriatevariable. y = (x2 + 1) sech (ln x)

A: Given: y=x2+1sechlnx

Q: Can you help me step by step?

A: Given an equation

Q: 9. For f(x) = arctan (2 sin ( Vx )) , compute the first derivative at the point %3D X =

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Q: Find the derivative of y with respect to the appropriate variable. y = cosh12 x+ 5

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Q: find first derivative of following function :y sin(1/y ) = 1_xy

A: Use the chain rule of differentiation and differentiate each terms ony by one.

Q: Use backward, forward, and centered difference approximation to estimate the second derivative of…

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Q: f(x) = x*Inx

A: TO FIND 5th order derivative f(x) = x4 lnx FORMULA USED  BIPART PRODUCT RULE OF DIFFERENTIATION…

Q: Compute forward difference approximations for the first derivative of the function, y = cos(sin(x)+…

A: Given is the function  y=cos(sin(x))+1) Forward difference is found as:F'xi=Fxi+1-FxiΔx

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y= θ(sin (ln θ) + cos (ln θ))

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Q: Find the 2nd derivative of the given function fCt) = t² Int

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Q: find the derivative of y with respect to x, t, orθ, as appropriate. y = ln (cos2 θ)

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Q: Find the derivative of y with respect to x for y=2x   ???

A: y=2x

Q: 1 erivative of x²+2

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Q: find the derivative of y with respect to the appropriatevariable. y = sinh-1 (tan x)

A: The given function is: y = sinh-1 (tan x) The derivative of y=sinh-1θ is: ddθsinh-1θ=11+θ2.

Q: find the derivative of y with respect to the givenindependent variable. y = log5 ex

A: On simplification, we get

Q: Find the derivative to by implicit differentiation Sinx +4 cos y=3

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