If f (x) = In (4a + 1), then its third derivative is f(3) (æ) = %3D

Q: y = 4x° + 4x at (1, 2)

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Q: 1. Find derivative of given function defined as follows. y = (8x²-3x³) ³

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Q: Find derivatives of the functions:  • (4x+3)/ ln[2x^2+3x+5]

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Q: how do you solve for the critical points of the first derivative of this function? x/4+x^2

A: Differentiating with respect to x, we get

Q: The first derivative of f(x) = (5x^4 - 6x)^1/3 will be?

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Q: Find the second derivative of the functionf(x) 3Vx+2 2x+1

A: Given

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

A: Topic :- Differentiation

Q: If the sign of the first derivative function is positive, the main function f(x) is decreasing.

A: We have to tell If the sign of the first derivative function is positive , the main function f(x) is…

Q: Shows the derivative function of: e3x+5

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Q: Find the first derivative: y= In V5x3 - 2

A: Given: y=ln5x3-25 We need to evaluate dy/dx. This can be done as follows:

Q: Find the derivative of the function. y In x2+9

A: Given function is: According to chain rule of derivatives:According to the quotient rule:

Q: Find the derivative of f(x) = e-2 / x^2

A: Consider the function fx=e-2x2 Here, the objective is to find the derivative of the function.

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: If C(x)=x' + x°, evaluate the fourth derivative at x = 2. %3D

A: To find the fourth derivative of the function: C(x)=x5+x-3 at x=2

Q: Find the derivative of function.

A: We have given y=-2ln x3x-1. Differentiate both sides with respect to x. Use constant multiple rule…

Q: 3) Find the derivative of f (x) = Vx3 – 4x² dv

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Q: Find the first derivative of y = (e³x)(3x² – 7)

A: This question is related to differentiation, We will solve it using given information.

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: Find first and second derivative of y=x(x-4)^3

A: Given function is  y=xx-43 To find derivative product rule is used duvdx=vdudx+udvdx So the first…

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

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

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Q: Determine the value of X on which the derivative of the function Y = | 3x² + 4x + 1] does not exist.

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Q: Find the derivative of the logarithmic function. 3x f(x) = In %3D x+2,

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Q: Suppose 8 (x) =Vx+1,What is the correct result of the second derivative of g with respect to x? %3D…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: 1 Find the derivative of (Vx-3x) x+= X

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

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Q: Find the derivative of the function ° (2x + 1) f(x) = In x2 – 3 -

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Q: Find the second derivative of .2 y = Vx² + x-3 O 6/x^2 O 12/x^3 O 6/x O 12/x^5

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Q: If f(x) = x-2 x² +4 then what is the derivative of fat x=2?

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

A: Given : fx = x3e3x

Q: 10) Find the second derivative of f(x) = 3e³x − 8e-6x 5x

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Q: Determine the value of X on which the derivative of the function y 3x2 + 4x + 1| does not exist.

A: Giveny=|3x2+4x+1|y=|3x2+3x+x+1|y=|3x(x+1)+x+1|y=|(3x+1)(x+1)|Using modulus propertyy=|3x+1||x+1|

Q: 4. Find the derivative of r°(x+ 1)² y = Vr – 3x2 |

A: First i i have written the quotient rule of derivative , just use them for given function and get…

Q: Find the derivative of the function. 9x + 1 h(x) = In 4х - 2. h'(x) =

A: Solution: The objective is to find the derivative of the given function

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

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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 y = (5x − 2)/(x2 + 1)

A: Given:           y=(5x−2)(x2+1)

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

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

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Q: 7. If h(x)=|2x- 3, what is the value of the derivative at x = -2?

A: According to the problem we have

Q: Find the derivative of the function: f(x)=ln  (x-3)^2÷(2x-1)^3

A: Given function is,

Q: - Find the derivative of the function : ƒ(x)= V2x + 3

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

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Q: What is the derivative of f(x)= e2x/ (3x+1)2

A: Given Function,fx = e2x3x+12

Q: Find the 2nd derivative with complete solution y = 3x + 5 / x^2 + 4

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Q: Suppose the first derivative of a function is f'(x) = (x- 30)(19x+ 1). The function f is decreasing…

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Q: Find the First and second derivative of the given y=-x2+3

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

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