Find the derivative of y with respect te X /3 %3D

Q: Find the derivative of h(x) = | 14 arctan(t) dt. h'(x) = ||

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Q: Find the derivative of the function. y = 3 cot nx

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Q: Find the derivative of the function y = sinh−1(4x)

A: To find the derivative we use the chain rule

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 derivative. y = e(lnx)2

A: dydx=ddx e(lnx)2        =e(lnx)2 ddx2(ln x)         =e(lnx)2 2x

Q: find the derivative of y with respect to the givenindependent variable. y = t1-e

A: In this equation the independent variable is t So we will differentiate with respect to t

Q: Find the derivative of the function y = etan(e) y' =

A: Explanation of the answer is as follows

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

A: Given equation is

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

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

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Q: Find the derivative of the function. y = (ln x)4

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Q: Find the derivative of the function y = ln(9 – e-ª).

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Q: Find the derivative of the function y = coth−1 (e2x)

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

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Q: Find the derivative with respect to t. y= csc-1(et)

A: Given:

Q: Find the derivative of the function. y = sin-(cos-(t))

A: Given: y=sin-1cos-1t To determine: The derivative of the given function.

Q: What is the derivative of y = ekx? For what values of k does this rule apply?

A: Given function is, y=ekx. The derivative of the given function is found as follows: dydx=ddxekx=kekx

Q: What is the derivative of y = e2 +1, with respect to x?

A: Formula used

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: find the derivative of y with respect to the givenindependent variable. y = 5√s

A: Given

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: find the derivative of y=√e^x +1

A: The given function is

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

A: Given:

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: 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 = log2 r . log4r

A: Recall the properties of logarithms:

Q: Find the derivative of y = In (tanh x).

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Q: Find the second derivative of y = cot 3x

A: To differentiate the function in the first derivative as y' ordydx  and the second derivative as y''…

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 the givenindependent variable. y = 3 log8 (log2 t)

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Q: find the derivative of the funciton y=xe^(5x)

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Q: Find the derivative of the function.

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Q: find the second derivative with respect of ds s+a

A: Please see the solution below.

Q: Find the derivative of y with respect to the given independent variable. dy dx 5 y = log 16 ex-log…

A: Given y = log16ex - log4x5

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln (θ + 1) - eθ

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Q: Find the derivative of y = tanh e^(7x)

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Q: find the derivative of y with respect to the givenindependent variable. y = log2 5θ

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Q: find the derivative of y with respect to the givenindependent variable. y = log2 (8tln 2)

A: We first expand the equation using the addition property of log and the change of base property.

Q: Find the derivative of the function. simply if possible y = arccos(e2x)

A: We have to find the derivative of the function: y=cos-1e2x We know the formula of derivatives,…

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 the givenindependent variable. y = log3 r.log9r

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

A: The given expression is,

Q: Find the derivative of the function. y = log |5- 2x dy dx

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

A: On simplification, we get

Q: Find the derivative of the function. y = e* In x

A: Find the derivative use product rule

Q: find the derivative of y with respect to the givenindependent variable. y = log3 (1 + θ ln 3)

A:

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.

A: