If u(x)= x²-1 and v(x)= x+1, find the first derivative of the product.

Q: Find the derivative of the function  y = ln (8x3-x2)

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Q: How to find the derivative of d/dx [(x^2-6)(2x^2+5x)]

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Q: Find the 3rd derivative of the function y=f(x) given by the equation y2=2x.

A: First we solve the given expression for y

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

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Q: Find the first derivative of y = e3x. 3e3x

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Q: Find the derivative of the function. y = x2 ln x

A: We use the product rule to find the derivative

Q: the first and second derivative of  y=x/x2-4

A: Formula used:  If f(x) and g(x) are two differentiable functions,

Q: Find the second derivative of f(x) = (5+7x)e5". f" (x)

A: Topic :- Differentiation

Q: Find the first derivative of the function Y = [(x – 1)(2x + 3)]?.

A: Let us see the expansion of (a + b - c)2 formula.(a + b - c)2 = (a + b - c)(a + b - c)(a + b - c)2 =…

Q: Find the derivative of the function. y = ln√(x2 − 4)

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Q: FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM y= e3x-e-3x/e3x+e-3x

A: Second derivative of a function.

Q: and second derivative for x^2 +

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

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

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Q: (x) = ,2x+1

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

Q: how do you find the second derivative of f(x)=ln(x)?

A: on differentiation we get

Q: Determine the second derivative of the implicit function  x2+2xy+3y2=2

A: Product rule of differentiation: ddxf(x)g(x)=f(x)ddxg(x)+g(x)ddxf(x) Power rule of differentiation:…

Q: Find the 2nd derivative of y: 2x - 1 y = 2x + 1

A: Given,

Q: x=1), 3. Y = In (x-1), (х-2)2

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Q: find the first and second derivatives of f(x) = ln (x+1)

A: f'(x)=1x+1 and  f''(x)=-1(x+1)2

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

A:

Q: FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM 3. y = ln (x3(x-1)/(x-2)2)

A: using the properties of log lnmn=lnm-lnnlnmn=lnn+lnmlnmn=nlnm As per our guidelines we are supposed…

Q: determine the second derivative of y=x^2e^x-xe^y^2

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Q: 5. Find the derivative of y= x' +2x -1

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Q: Find the derivative of the function. y = x2 ln x2

A: Consider the provided question, We have to find the derivative of the given function,

Q: Find the derivative of the function y = ln 4x / (x − 6)

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Q: Find the second derivative of x² y² + xe = 2 sin y

A: Solution is given below:

Q: .3 Find the derivative of h(x) =In x³ + 2 x5 – et -

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Q: Find the derivative of function.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the derivative of the function. f(x) = ln 2x/(x + 3)

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Q: Find the second derivative of y= x 2/ 3 + x2

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Q: 2. Find the derivative of A(x) = L% V1– x³dx

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Q: Find the derivative of g(x) = ln(2x + 5)

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Q: Find the first derivative of y=(x^2-4x+1)^5

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Q: Find the 3rd derivative of y=(x³-2x)².

A: y=x3-2x2 Differentiating with respect to x, we get dydx=2x3-2x·dx3-2xdx=2x3-2x·3x2-2 Again…

Q: Find the first derivative of f(x) =x3/e3x

A: Given : fx = x3e3x

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

A: Given function

Q: Find the derivative of y with respect to x if y = (5x2 – 10x + 10) e - 6x y' =

A: We have to find the derivative of y with respect to x.

Q: Find the derivative of the function g(x) = ln √2x

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Q: Evaluate the first derivative of the implicit function: 4x2 + 2xy + y2 = 0

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Q: Find the derivative of the function. y = x2V 49 - x2 y' =

A: Soove for differentiate

Q: Find the second derivative of 2x^2 ln (1/x^2)

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Q: Find the derivative of -3x f(x) = e¯* + e2x - e %3D

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Q: Find the derivative of f(x) = e2" (3z² – 2)

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Q: Find the derivative of (x+h)²+y²=r²

A: Here the equation is x+h2+y2=r2.

Q: Find the derivative of the function   f(x)=ln(x3(2x+1)/x^2−3)

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Q: The first derivative of f(x)=e5x^4-6x will be?

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Q: Find the derivative of f(x) = In2x 2 2z

A: We first use the addition property of logarithm.

Q: Find the derivative of the function g(x) 4+ 2x = (x),6

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Q: Find the second derivative of y=x^-2 when x is 2

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