Find f'''(x), the third derivative of f, and f4 (x), the fourth derivative of f. f(x) = 7x* + 6x° + 2x + 4x + 3 Find the third derivative. f'''(x) = Find the fourth derivative. p(4) '(x) =

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

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Q: Find the derivative of (x^3 + 2x) / x^2 + 3x + pi^2

A: for f(x)=xn derivative of f(x) is f'(x)= nxn-1 derivative of a constant is always 0.

Q: Shows the derivative function of: 2x² + ln x²(2x² + 5x − 1)

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Q: # Find the derivative of frz)- (2-2)"

A: Given function is fz=z-25z2+iz+12

Q: Find the derivative of function. y = ln(2 - 5x)

A: we have to find the derivative of y = ln(2 - 5x)

Q: 4. By implicit differentiation , find the 1st derivative of x3 + y3 + 6xy = 0

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Q: what is the derivative of  (x+7)/(x-7) ? and what is the second derivative?

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Q: 2. Use the first principles of derivatives to find the derivative of f(x) = 1 2x-7

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Q: Find the first derivative (x^5+6x^3+10x)/√x

A: To find: The first derivative of . Formula used: Quotient rule of derivative: Power rule of…

Q: Find the first and second derivative of any function defined implicitly by yx2+ y2= x

A: Given,           yx2+y2=x

Q: 3. Find the derivative of f (x) = 2x²e² tan x.

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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: How do you find the derivative of y = ln2x8

A: Explanation of the solution is given below....

Q: Find the derivative: y = 6 In x 6 ln x-1 x7 1-6 ln x 12 1+6 ln x x12 4 O 1-6 ln x x7 O

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Q: Find the derivative of function. y = ln(5x3 - 2x)3/2

A: To find: The derivative of y=ln5x3-2x32. Formula used: Logarithmic power rule: ln ab=b·ln a Chain…

Q: 4x +2 x-12 7. f(x) = 2x

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Q: Find the derivative: y = ln(24) 2x-4 O 4x-x² 2x-4 x²-4x 4 4x-x² 4 x²-4x O о O 8

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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: y = In (csc 2)

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Q: Find the derivative of the function. y = -4 sin 7x

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Q: 5. y=x3 Find derivative ldv 4.

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Find the derivative of y = arctan² (x³)

A: This is a problem of differentiation of the function. Based on general formula we will solve this…

Q: Find the derivative at the point (0,.5) x2+y2=(2x2+2y2-x

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Q: Calculate the derivative of the function given by the equation x3+y3=3xy.

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Q: Find the derivative y=ln(2x^3+6x-1)^3

A: y=ln2x3+6x-13 take derivative y'=ddxln2x3+6x-13 y'=12x3+6x-13ddx2x3+6x-13

Q: 1-x3+2Vx f (x) =

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Q: Find the second derivative of the function given by the equation x+y=ex−y.

A: Using implicit differentiation and the chain rule we find y'

Q: Find the derivative 4 y = In x +

A: It is given that- y=lnx+4x To find the derivative of y, use the addition rule, i.e.,…

Q: Find the first and second derivative of f(x) = ln(x)/rootX

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Q: Find the derivative of y = csc(V3x² +1

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Q: 9) Find the value of the derivative at the point (2,-18) ƒ(x) = -3xV2x + 5

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Q: ,2, (x²–1)* Dx (1+8x)5

A: To Determine: find the derivative using chain rule  Given: we have y=x2-141+8x5 Explanation: we have…

Q: Find the first derivative of ƒ(x) = 7x¹⁰² cot(x). 10 f'(x) =

A: Given :fx=7x10excotx

Q: he first derivative of f(x) = ln(5X4 - 6x) will be

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Q: 2. Find the derivative of y = (5x³ + 2 x)tanx. %3D

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Q: 3 y = х-5

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Q: Find the derivative of 5-4x+x²+ln(7)

A: By using differentiation formula, we find the derivative of given function.

Q: x² q(x) =- sin(x)

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Q: In(x-

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Q: Find the first derivative of y=arctan⁴(3x⁵)

A: Find the first derivative of y=arctan⁴(3x⁵)

Q: How would you find the 65th derivative of sin(x)? Is there a pattern that occurs that allows you to…

A: Let y = sinx.Compute the first derivative of y as follows.

Q: 7. y= ln 2x³ 5х-3

A: Explanation of the answer is as follows

Q: Find the derivative of the function f(x) = 6x2 - 6 cosx

A: the given function f(x)=6x2-6 cos x

Q: 3) Determine the second derivative of y = 5x* + 4x -+÷-3 2x2

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Q: flx)= -e, 1-x2 1-e

A: To find The derivative of f(x).

Q: (2+x)2, how do I find the derivative?

A: The given function is  y = f(x) = (2 +x)2

Q: Find the second derivative y=5e^x -2/x^3 +4sqrt(x) -12sec x + 5lnx - pi/2= Find equation of tangent…

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