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

Q: Find the nth derivative of the function y=xex at x=0.

A: To find the nth derivative of function y.

Q: Find the 2nd derivative of y with respect to x : y=xe^2x

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

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Q: In xy = x² + sin xy

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Q: find (y') by Implicit differentiation e(2x+3y) = x² – In(xy³) 1 Add file

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Q: Find the derivative of the function F(s) = In(9 ln(8s)). F'(s)

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Q: Find the first derivative of y with respect to x for the following :functions b- y = In( 3x .e-*)

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

A: Given equation is

Q: part ii, thank you very much.

A:

Q: If f(x)=In(x-1), find the formula for f^((n))(x), the nth derivative of function f(x) f(x) = ln (x –…

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Q: y = ln 1-x² 1+x²

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Q: L(x) = In(x)+log,(x)

A: Used formulas : ddx(logax) = 1x ln a ln x = loge xloge e = ln e = 1ln 5 =1.61

Q: Find the first order derivative with respect to y of the function u = log(x + x² – y2)

A: Using derivatives.

Q: Find the derivative Of g(t)=ln(e^-t+2t)

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Q: find the second derivative of y=ln(e^x+e^-x)

A: Given query is to find the second derivative of the expression.

Q: Find the first derivative of the function (xy)* = e.

A: Explanation of the answer is as follows

Q: Find the first derivative of the following functions with respect to x y = In(ln(In x))

A: To find first derivative of the given function.

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

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Q: Compute the derivative of the function y=x2/ln x at x=e.

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Q: compute a formula for the nth derivative of f(x)=e2x

A: We have givenWe have to find a formula for nth derivative of f(x)

Q: Find the nth derivative of the function y=ln(ax+b).

A: Given function is Differentiating with respect to x repeatedly, we get In general,

Q: Determine whether the following statement is true or false, and explain why. The derivative of ln kx…

A: if y = ln x Then y'=1x

Q: Find the derivative of the function.

A: Some important derivative formulas: 1. d(lnx)/dx = 1/x 2. d(√x)/dx = 1/(2√x) 3. d[N/D]/dx = [D*(N)'…

Q: Consider the derivative function h (x) = 5x³ + 3x² – 4x + 4. What is the general antiderivative of…

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Q: find the derivative of ln(3x^2+e^x)

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Q: Find the second derivative of the function.

A: Given the function: g(x)=x + ex  ln(x) We have to find the second derivative of the function. Let's…

Q: The derivative of In x is and the derivative of a constant C is, sO X dx = In |x| +C for x> 0.

A: Given x>0, The differentation of natural log x is 1/x  And differentation of constant are zero.

Q: Find the derivative of y with respect to x. y=log(base)5 e^7x

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Q: Find the derivative of the function y, below. y = 6x(ln a + In 5) – 8x + e ||

A: Given that y=6x(lnx+ln5)-8x+e To find the derivative of y

Q: Find the first derivative or f'(x) of the function below using the techniques of integration f (x) =…

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Q: The derivative of the function y = cos(x In 3) log3(sin x) is:

A: Given,            y=cosxln3log3sinxTo find : The derivative of the given function.

Q: (b) Find the derivative of y = log,(5x')+log, (sin.x)

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Q: Find the equation of the tangent line to the graph of f(x) = 4^(x/ln2) at the point where x is ln16.

A: We find dy/dx to find the slope at x.

Q: Find the derivative of the function x² ln 4y = y sin 4x + e2 Answer:

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: Use logarithmic differentiation to find y′, given y = e2x xx √(x3 + sinh(3x))

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Q: Find the nth derivative of the function y=xlnx at x=1.

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Q: Find y' by direct differentiation (with respect to x). y = (5x2 + 6x − 7) ln x   and  y = (e-x)/…

A: Solution -a.)Given function -y = 5x2+6x-7lnxDifferentiating on both sides with respext to x,dydx =…

Q: 11.Find the derivative of the functions: a) f(x) = In(9x²2 – 3x) b) g(x) = In(ln x)

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Q: Find the second derivative of y with respect to x if y = x In(x) - X. А.X In(x) B. In(x) C. In(x)/x…

A: The given function is y=x ln(x)-x

Q: 24. Find the first order derivative with respect to x of the function u = log(x+ x .

A: The solution for the above question is as shown below.

Q: Find the first derivative of x² + 3xy + y3 = 10 implicitly.

A: The given function x2+3xy+y3=10

Q: Find the second derivative of f(t) = ln(sin² (t)).

A: Given data: The given function is f(t)=ln(sin2(t)). The expression for the first derivative of the…

Q: Find the anti-derivative of g'(x)= log1/2(X)

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Q: Suppose ln (x + 2y) = x4.Use implicit differentiation to find the derivative of y with respect to x.…

A: Differentiate the given function implicitly as follows.

Q: Suppose x6 e-5y = In (xy). Find Y by implicit differentiation. dx

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Q: Find the derivative with respect to x of h(x) = e2x²+6 In(x).

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Q: Find the derivative of the function f(x) = 3 ln(x) + e5ª. df = dx

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Q: Find the derivative of the function f(x) below. f(x)=ln(5−e^(−4x)) f′(x)=

A: Explanation: Given that, f(x)=ln(5-e-4x) Differentiate both sides with respect to x.…

Q: Use logarithmic differentiation to find the derivative of y with respect to x. y = ( In (3x))n (9×)…

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

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.