I) Find the derivative of each function a)y =x' In x b)y = 4x'e c)y = eF

Q: B- The derivative is y = ln (sec (In 0))

A: Solution ) y = ln (sec(ln θ)) Using chain rule  dy/dθ = (ln m/dm) × (dm/dn ) × (dn/dθ ) m = sec(ln θ…

Q: In Exercises 25–27, find the derivative of y with respect to the appro-priate variable. 25. y =…

A: Hey since there are multiple questions the first question is answered and repost the question if any…

Q: In xy = x² + sin xy

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Q: 2. Find the derivatives of Y with respect to x if; x=arc sin ex.

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Q: 4. Find by implicit differentiation of x sin(y) = y cos (x) dx

A: The given problem is solved below in detail.

Q: Find the derivative of the function. rsin(x) y = In(1 + 5v) dv y'(x) = sin x In(1+5 cos x) + cos x…

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Q: Find the derivative of the function. y = esin(5x) + sin(e5x) y' =

A: The solution are next step

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…

Q: Find fifth order derivative of the function f(x) = x*Sin (2x +1) by using Leibnitz theorem.

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Q: Show that the function ex(cos y +i sin y ) is holomorphic and find its derivative

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Q: Find the derivative of function.

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Q: 2. Use implicit differentiation to find the derivative of y with respect to x for the following: xe…

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

A: The given equation,

Q: Use central difference approximations to estimate the first and second derivatives of y = e* at x =…

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Q: Find the derivative of ,In sin-1) y = e %3D

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Q: The derivative of: y =0( sin (In (0))) in (In (0))) + cos(ln (0)) is is:

A: Given function is rewriting in other variables as: y=x(sin(ln(x)))+cos(ln(x)) Product rule of…

Q: Calculate the derivative. y = cos 3x In (cos ²3x) y' =D %3D

A: We can find the derivative as below.

Q: Find the derivative of y with respect to x. -1 2х + 3 26) y = sec" 27) y = -sin-1 (5x2 + 2) 28) y =…

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Q: Find the derivative of y given that y = In (sinh x) %3D

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Q: Find the derivative of y with respect to X. y = tan 1 5x 105x(1 + 5x) 2(1 + 5x/5x J1- 5x 1+ 5x

A: It is derivative.

Q: Find the 3rd derivative of (1 + 2y)³ + eª (sin² y) - 3y cos(e=? )

A: Given data (1+2y)3+ex(sin2y-ycosex2=3y and find 3rd derivative or d3dx3=?

Q: find the derivative of y with respect to x, t, orθ, as appropriate.

A: On simplification, we get

Q: the derivative of y with respect to v. 1 = In ( cosh (5v)) –· tanh 2(5v) 2 derivative of y with…

A:

Q: 2. Find the derivative of: (a) A(x) = [ 1n | In(sin(3t)) dt (b) A(x) = L, In(sin(3t)) dt

A: According to the Leibinitz rule :

Q: Find the second derivative 1. y = In(x^3+1) 2. y = Arctan (e^x)

A: Given: y=lnx3+1, y=tan-1ex

Q: Let y = x(ln x)² – 2x In x. Find the value of X for which the second derivative, y" (x), equals…

A: Solve the following

Q: 23.3 Use centered difference approximations to estimate the first and second derivatives of y = e*…

A: The formula for the first derivative of a function fx at x=a by centered difference approximation is…

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

A:

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

A: Given,

Q: Find the derivative of the function sin(x) In(6+4v) dv cos(x) y y'(x)=

A: The given function is,

Q: y = In(x² + 4) - x tan-1 (e) y = arctan(arcsin vx), (y = sech (tanh x)

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: e derivative of y with respect to x. y= 2sin^-1(5x^4

A: we have to find the derivative of y with respect to x.y=2sin-1(5x4)

Q: How do you solve question 10?

A: Given function is  By definition of derivative , we have

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: 2- Find the derivative of y with respect to the Exercises 1-3. y 1- 6 sinh || 1 y sinh (2x + 1) 2-…

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Q: (a) Find the first derivative of the function y= la) with respect to x by using the chain rule.

A:

Q: Use Leibniz’s Rule to find the derivatives of the functions

A: Definition used -       Leibniz's rule for finding derivative -…

Q: Find the derivative of both a and b a. x csc-1(1/x) b.(esin2x)/[In(cos2x)]2

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Q: Solve for the derivative of the Inverse Hyperbolic Differentiation. 1. y = sin h-1 (2x2 - 1) 2. y…

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Q: 2 a) FIND BY IMPLICIT DIFFERENTIATION: x*y³ = -8 %3D dx b) EVALUATE THE DERIVATIVE FROM PART a AT…

A: Given: x4y3=-8

Q: Find the derivative of y with respect to > (x + 6) y = In V (x + 9)60 dy dx (Type an expression.)

A:

Q: 2- Find the derivative of y with respect to the Exercises 1-3. = 6 sinh 1- 1 sinh (2x + 1) 2- In…

A: These are the hyperbolic function so use standard form of derivative of hyperbolic functions.

Q: Find the derivative of y with respect to x. y = sec -1 (2x? + 1), x>0 ..... dx

A: The derivative of y with respect to x is to be calculated, where y=sec-12x2+1, x>0. The results…

Q: 4. Compute the derivative of f(x) in each part. (a) f(x) = sin(ev) (b) f(x) = (tan r)", x € (0, 7/2)…

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Q: Use Leibniz’s Rule to find the derivatives of the functions

A: Given: y=∫x22x2lnt dt

Q: 1. Find the derivative of g(x): Int dt 1+t Cos

A: This will solve by Leibnitz theorem

Q: Find the derivative using the First Fundamental Theorem of Calculus. 13)음 V8t +7 dt dx

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Q: 2- Find the derivative of y with respect to the Exercises 1-3. y = 6sinh ; 1- = - sinh (2x + 1) y =…

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Q: Example2: Find the derivative of w=xy+z if x=cos t ,y=sin t &z=2t?

A: