Find the derivative of y with respect to x, t, or 0, as appropriate. y= In(In 9x)

Q: find the derivative of y with respect to the appropriatevariable. y = sin-1 3/t2

A: We differentiate with respect to t using chain rule.

Q: Find the 4th-order derivative of the function y=xsinhx.

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Q: find the derivative of y with respect to the appropriatevariable. y = ln (cosh z)

A: We will differentiate both sides with respect to z. We use the chain rule.

Q: find the derivative of y with respect to x, t, orθ, as appropriate. y = esin t(ln t2 + 1)

A: The variable is t in this equation  So we will differentiate with respect to t   We will use the…

Q: find the derivative of y with respect to the appropriatevariable. y = csch-1 (1/2)θ

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 11) y = In 1-x (x +4)3

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Q: Find the derivative of y with respect to x of y = xlnx – x.

A: Using rules of differentiation.

Q: X+3

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

A: Consider the following equation:

Q: The nth derivative of y = Inx is given by %3D

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Q: Find the derivative of y with respect to X, t, or 0, as appropriate. Inx y=5

A: Given: y=ln xx5 So, the derivative of y with respect to x is: dydx=ddxln xx5 According to the…

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

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Q: Find the derivative of y with respect to the independent variable. y = 3 cOS TTO

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

A: Given:

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = t (ln t)2

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

A: To find dydx, rewrite the equation and then differentiate with respect to x.…

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

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. Inx y = x7

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Q: y = (sin x) ³

A: Given function is  y = (sinx)y   this is explicit function of x and y.  So, first we will take…

Q: find the derivative of y with respect to the givenindependent variable. y = 2(s2)

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Q: Find the derivative of y=ln(cos(z))

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Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = (x2 ln x)4

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. y 2xe X- 2e X O 2xeX O 2xeX +…

A: Finding the derivative

Q: find the derivative of y with respect to x, t, or u,as appropriate.57. y = ln (3te^-t)…

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

Q: find the derivative of y with respect to the givenindependent variable. y = 3log2 t

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Q: Calculate the derivative of y with respect to x, if a°y+5xy° = x+y. dy dx

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

A: Given that: y=arccos4x

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = x4/4 ln x - x4/16

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Q: find the derivative of y with respect to x, t, or u,as appropriate. y = ln (sec u + tan u)

A: Given:             y=lnsec u+tan u The derivative of y with respect to x,            ddxy=ddxlnsec…

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln (t3/2) + √t

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Q: Find the derivative of y with respect to x. -1 y = tan (In(2x))

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 67) y = In 8x2

A: Since the expression contains x, we have to find derivative with respect to x.

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

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

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Q: Find the derivative of y with respect to x in the following functions: y= Vu +2u and u=x²-3

A: Derivative of  function signifies the rate of change of a function.

Q: (2) x'+4xy -3 y – 2021 = 0

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Q: Find the derivative of the following function. 8x e y= In 4x y'=

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Q: Find the derivative. 8 + e y = In 8 + et 8 - ex.

A: Given,          y=ln8+ex8-ex

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. In x 20) у 3

A: Given

Q: The 60th derivative of x with respect to y of y = x^60 is 60!x

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

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Q: find the derivative of y with respect to the appropriatevariable. y = sin-1√2 t

A: To find the derivative of y=sin-12t

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

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Q: find the derivative of y with respect to the appropriatevariable. y = csc-1 x/2

A: We have to find derivative of y with respect to the appropriate variable: y=cosec-1x2 Rewriting the…

Q: find the derivative of y with respect to the appropriatevariable. y = ln (sinh z)

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Q: Find the first derivative of v with respect to x

A: Given,

Q: find the derivative of y with respect to the givenindependent variable. y = 3-x

A: