g(x) = In tanh-1 x

Q: Find the derivative of h(x) tan 3x+cot 3x

A: Solving the problem by finding the derivative of the function.

Q: Find the derivative of the function. f(x) = In(sinh(x)) f '(x) =

A: f(x) = ln(sinh(x)) here we use chain rule f'(x) = cosh(x)/sinh(x) f'(x) = cot(h(x))

Q: Find the derivative of the function. Simplify where possible. f(x)   = x In(arctan x)

A: Given: The above function contains two functions, so the product rule is used to differentiate.

Q: Find the second derivative for the functions defined as follows g(x) = 4x(ln x)

A: We have to find second derivative of the function: gx=4x lnx Since two function are in product so we…

Q: Find the derivative of the function. y = x°cos x - 10x sin x - 10 cos x

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Q: Find the derivative of y=ln^3(tan^-1x)

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Q: Find the derivative of the function. f (x) = cube root of ( 1+ tant )

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Q: Find the derivative. g(x) = tanh-1(x?)

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Q: find the derivative of y with respect to the appropriatevariable. y = ln (x2 + 4) - x tan-1 ( x/2)

A: We use the chain rule and product rule

Q: Find the derivative of sinh(x)tanh(x).

A: As per our guidelines I am solving only first problem please repost other question.  y = sinh(x).…

Q: Find the derivative. Simplify where possible. f(x) = tanh ( 1+ e2x  )

A: f(x) = tanh ( 1+ e2x  )

Q: sin

A:

Q: Find the derivative of f(x) = tan(sin(2x))

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Q: Find the derivative of ¤(x) at x = /3/2 where rsin-'(x) $(x) = eº tan 0 do. x2

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Q: Find. the derivative of tan(x)). with respect to X 1- y3=

A: Explanation of the answer is as follows

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

A: Given: y=arctanx+x1+x2Recall the formulas:ddxarctanx=11+x2     ..........1ddxuv=vdudx-udvdxv2…

Q: Determine the derivative of f(x)=ln(x√x^2+1).

A:

Q: Find the derivative of the function g(x)= tanx/e^x.

A: This problem can be solved by the quotient rule in derivatives.

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

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Q: Find the derivative of the function f(x) = ln(sinh x)

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Q: Find the derivative of the function. f(x) = 6√x + 5 cos x

A: To find the derivative of the given function f(x).

Q: y = In(tanh 2x)

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

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

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Q: Find the derivative. y = ln(x + tan-1 x)

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Q: Find the derivative of f(x) = sin x²+ cos x

A: fx=sinx2+cosx

Q: Find the derivative of  y=ln [tan-1(7x5)] with respect to x.

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

A: We  can make it easier for you.

Q: Find the derivative of the function.

A:

Q: what is the derivative of f(x)=ln(tanhx)

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Q: 2 Find the derivative of y = arctan(x´ + 3)

A: We have to find the derivative of the given function.

Q: Find the derivative. f(x) = 2^x {ln[cot(x)]}^2

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Q: Find the derivative. Simplify where possible. y = x tanh-lx + In /1 – x²

A: We have to find

Q: 1) Find the derivative. Simplify where possible. y = x tanh-1x + In/1 – x²

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Q: Find the derivative of h(x) = (1+ cos x)*

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Q: Find the derivative. Simplify where possible. f(x)  =tanh (1 + e2x)

A: Here given as fx=tanh1+e2x Since  ddxtanhx=sech2x

Q: Use forward-difference formula to evaluate the first derivative of y = tan(x) at x = 4 using a value…

A: Given function is y=tanx. We have to find the first derivative of y=tanx at x=π4 using a value of…

Q: f(x) = x' tan (5x)

A: Explanation and solutions is given below....

Q: Find the first derivative of y = cos*x- sin*x.

A:

Q: 3. Find the derivative of: y = csch¬(In (sech(sec()))).

A: Note:Two questions submitted simultaneously, kindly upload question 2 separately.

Q: Find the derivative of y with respect to x. y=ln(tan-1(4x5))

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Q: Find the derivative of  f(x) = tan(cos(x^2))

A: f'(x) = d (tan(cos x2)dx  f'(x) = sec2(cos(x2))d cos x2dx               because   d (tan(x))dx =…

Q: Find the derivative. f(x) = x sinh(x) - 4 cosh(x) f'(x) =

A: Given problem is :

Q: Find the derivative. Simplify where possible. y  = x tanh-1 x   + In √ (1- x2)

A: We have given that, y=xtanh-1x+ln1-x2 We have to find the Derivative of this function i.e. y' As we…

Q: Find the first derivative of the function below: f(x) = arctan(sec(x ))

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Q: Find the derivative of the function. y = ln∣sec x + tan x∣

A: given function, y= ln | sec x + tan x| we have to find the derivative of the given function

Q: Find the derivative. f(x)=tanh(2 + e^3x)

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Q: Find the derivative. f(x) = tanh(2 + e4x) f '(x)

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Q: FIND THE DERIVATIVE : xʻ sin x Y = ln 1+x

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Q: Find the derivative. Simplify where possible. y = x tanh  -1 x +ln ( sqrt 1 - x 2 )

A: Given, y=xartanh⁡(x)+ln⁡(1−x2)can be rewritten asy=ln⁡(1−x2)2+xartanh⁡(x)