Differentiate the function. h(x) = 11 csch-1 (x³) Give your answer in exact form. h'(x) = %3D

Q: y = (In x)* xln x

A: Explanation of the answer is as follows

Q: 11. y=3x+ ln x %3D

A: Topic - derivatives

Q: Differentiate the following function.   y = ln(x2 + ex)

A: Given function is y=lnx2+ex. To differentiate the function. Solution: Power rule of differentiation…

Q: Find dy/dx by implicit differentiation.

A: To find: The derivative of x3y-xy3=4. Concept used: Chain rule of derivative: fgx'=f'gx·fgx Product…

Q: Find the derivative of the function g(x) = (arctan x)³, first showing how to get the d formula for…

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Q: Sketch the x^2 And the derivative And integration

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Q: C.) approximate derivative; 5.) y = 2x 6.) y = x +34x + 4000

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the 3rd derivative of the function y=xsinx

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Q: Find the derivative of ƒ (x) = 8ª ln (x).

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Q: Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and…

A: Given problem:- Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a…

Q: e first derivative for the +1)(x +2) 2)

A: Find the first derivative. y=(x+1)(x+2)(x-1)(x-2)

Q: second derivative of  y=x(x-4)3

A: Given function is y = x(x – 4)^3. Differentiate with respect to x on both sides.

Q: Find the 3rd derivative of the function y=excosx.

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Q: Determine the first derivative of the ff. function y = ln| le* – 1/

A: We have to find the first derivative of the function: y=lnexex-1 We know the property of logarithm,…

Q: Find the derivative of the function: f(x) = ln X x+1* Is there a shortest way? Please explain.

A: We can find the answer in the following steps.

Q: For y=ln2x, determine the equation of a tangent line parallel to 2x-3y+1=0

A: here we find the equation of a tangent which is parallel to 2x-3y+1=0. y=mx+c slope = m.

Q: Find an expression for the derivative of the exponential function y=ex using the definition of…

A: To determine the derivative of exponential function y=ex using definition of derivative.

Q: 4 1 Y(s) = 5s2

A:

Q: Find the second derivative of the function. 3root(x) + e^(6x)ln(x)

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Q: Vith its derivative. A. f(x) S'(x) D. B.

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Q: d100 y (100th derivatives) dx100 b.y = x100 ; find

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Q: A bicyclist is riding on a path modeled by the function f(x)=0.04(8x-x^2) , where x and f(x) are…

A: Given path functionfx=0.048x-x2

Q: Find the derivative. y%3 log (6x) y'%3D %3D

A: It is required to find the derivative of: y=log(6x)

Q: Calculate the second derivative y : Vx - /y = 1

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Q: Differentiate the function   f(x) =    1/  ln x

A: Given function is fx=1lnx We know that 1an=a-n So, given function can be written as fx=lnx-1 Before…

Q: Differentiate the following function.   y = ln(ex2/x)

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Q: Integrate sec√x dx ÷ √x

A: We have to Integrate : ∫secxxdx Let x=t⇒12xdx=dt⇒dx=2xdt=2t dt Now, ∫secxxdx=∫sec tt(2t dt)=∫2 sec t…

Q: sinh(3x) g(x) 3

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Q: The second derivative of the function is y = arctan 2x

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Q: Integrate ∫(ln(x))/x

A: We need to integrate the given logarithm function:

Q: Find the derivative of the function. y= log 4- x

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Q: Find the nth order derivative of the square root y=√x.

A: Let's first calculate the nth order derivative of the power function y=xm where m is a real number.

Q: Find the second derivative of the function. g(x) = √x + ex ln x

A: Consider the given function gx=x+ex lnx Now, differentiate the given function with respect to x…

Q: 7. Find the nth derivative of y = 1//x.

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

Q: ii) y = e**-2x + x²-e

A: We need to find the first derivative of the following y=ex3−2x+x2−e so we we need to find value of…

Q: Find the derivative of the function g(x) = (arctan x)³, first showing how to get the formula for -…

A: Consider the function  g(x)=tan−1x3

Q: Find the second derivative of the function. 9. g(x) = x-1 10. h(x) = sinx = (x)6

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Q: Molar volume is a function of temperature and the pressure or V = f (T, P) ; and its total…

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Q: Find dx by logarithnic differentiation. (3x-2)(x"+3)

A: d(logx)/dx = 1/x

Q: Find the equation of the line tangent to the graph of y = 6 ln(x) at x = 3. Tangent Line: y =

A: We have to find the slope of tangent at first.

Q: y=-sinx . 3π X 2 元 2. 2 N/2

A: Given: y=-sinx

Q: Solve for the second derivative of the function below 3. у%3 (х— 5)*

A: Given: y = x-54 To find: Second derivative of the given function.

Q: Find the derivative of the function g(x) = ln ex/(1 + ex)

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Q: Differentiate the function. y=ln(x5sin2x)

A: Given function:

Q: 1) Find the second derivative of f (x) = 24 . %3D

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Q: 5x f(X) = V2x+3 %3D Find the first derivative given that

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Q: Find the derivative of the function. y = etan(8) y' =

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Q: The derivative of y=eSinh/x +cosh¬/x equals

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Q: Find the derivative. y(x) = x tanh−1(x) + ln (sqrt (1-x^2))

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Q: Find the 1st derivative of the function: y = 4(Vx + 1)5

A: Given that: y=4(x+1)5