Find the first derivative of the following implicit function. x3 + y3 + 3 xy2 = 8

Q: Find the derivative of the following function 8. y=(x+3)(2x² – 3x + 1)

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

Q: Find the derivative of the following function. y = (In |x+4|)7

A: given that  by using chain rule

Q: 2x+1 S(x) = 3x+2,

A: Solution:Given     f(x)=2x+13x+23To find the derivativeFormula:ddx(xn)=nxn-1uv'=vu'-uv'v2

Q: 1. Find the function whose derivative is XV X xª – 1

A: We need to find a function whose derivative is 1xx4-1

Q: Find the derivative of each function of s = 3t

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Q: Q1:- Find the first order derivative of each of the following functions: e) y = 1 + x'nx

A: Given that y = 1 + xlnx . We find its first derivative. We know that d(xn )  /dx = nxn-1  Here i…

Q: Find the derivative of the following function.   f(x)= 6x/5e^7x f'(x)=

A: The given function is,

Q: y =10csc 3x %3D

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Q: Calculate the derivative of the following function. y=e5x(5x+6)4

A: see below the calculation

Q: Find the second derivative of the given function. y = 4x2 + 5Vx + e*

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Q: Find the Derivative Function for the following function, y=6ln(x)+5(2x)

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Q: Determine the derivative of the following functions. 1. у — (4х — 5) e 2. y = 3x a(5x²–3x+7)

A: 1.

Q: Find the second derivative (y") of the following function step-by-step and simplify the final…

A: The given question has been solved in detail

Q: xArctanx - Invx2 + 1 = y y = (e3x+4 +2)/(e2+3x +1)

A: To find the y'' of the given function , we use chain rule for differentiation.

Q: y= 6*

A: y'=?

Q: QW) = ? + y3 3.

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Q: 1. x² – 4y? = 5

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Compute the derivative of the given function. f(x)=−4x^π+4.1x^1.3+π^1.3

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Q: y = √√2x + 7

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Q: Calculate the derivative of the following function. 4x y = e **(4x- 1)9

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Q: Find the first derivative of the following functions and simplify your answer. y=* 5x-2 y=(2x2 –…

A: Solution: The objective is to find the derivatives of the given functions

Q: Compute the derivative of the following function. f(x) = 8x e 2x f'(x)= ]

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Q: Compute the derivative of the following function. f(x) = 3x e 3x f'(x) = O

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Q: Find the first derivative. x= -6t + 4t+ 1 xp dt

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Q: y = e(-x2+3x-4 )

A: Given: y=e-x2+3x-4

Q: Find the second derivative of the function. t° + 9t +5

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Q: Solve for the derivative of the following implicit function. x2 4. 9. y2 : 1 4

A: Given equation is x29+y24=1

Q: Find the derivatives of the functions y = log2 (x2/2)

A: Given that y=log2(x22)

Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

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Q: Find the derivative of the following: x2 + 3 y = (x – 1)3 + (x + 1)3

A: First of all we will solve the given value of Y then we will differentiate with respect to x

Q: Find the first derivative of the following functions and simplify your answer. 1.) y=( 5x-2' 2.)…

A: We will use the following formulas : (f(g(x))' = f'(g(x)) g'(x)  uv' = vu'-uv'v2 1.) y = x3+15x-24…

Q: 1. Find the first derivative of the following functions: y = f(x) = -(2x + x³)-2 + 4x (2x+4)² (a)…

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Q: 1. у %3D 4Сot (3 — 2х) |

A: Pls find the solution.

Q: y² x2 + 1 9.

A: Given function is x2+y29=1

Q: +1. y=+ 5х-2 y=(2x² – 3)(x+5)

A: The equation for derivative are, y=x3+15x-24 y=2x2-3x+5

Q: Find the derivative of the following function 1. f(x) = 5x' - 32x + e?

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Q: Q2: Find the derivative of each of the following 1- f(x) = 2x5 + 2- y = (x – 3x²)(6 – x*)

A: In this question we have to find the derivation of the given function which we can easily find using…

Q: x + y + xy = 21

A: The function is given as , x+y+xy=21 find the second derivative.

Q: Find the derivative of the following function: y=x(x2+2)(x3−3).

A: Given function is y=xx2+2x3-3. Power rule of differentiation states that: ddxxn=nxn-1 Product rule…

Q: Calculate the derivative of the following functions

A: y=1-e-0.05x-1

Q: Find the implicit derivative given a³ – 2b² = 7ey

A: For the implicit differentiation, we take y as a function of x and a, b are constants. We are given,…

Q: 3 g(x)=Vx² – 2x %3D x3-2x+5 f(x)= x²+3x

A: Consider the given: Use the chain rule of derivative: ddxfu=dfdu·dudxChainrule Find the first…

Q: Obtain the derivative of the following functions: a2 + x3 + 2y = y² 10. Solve for the derivative of…

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Q: Find the first derivative of the following implicit function. x² + 3xy + y² = 4

A: Given : x2+3xy+y2 = 4

Q: Find the second derivative of each of the following functions. s=1/2t-1 y=x2tan2(3x

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Q: Find the derivative of the following function. 8x +1 h(x) = X +7

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Q: Find the derivative of the given function. e5x (2x+1)5 f(x) = In Vx2+1

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Q: Calculate the derivative of the following functions. y = (5x + 1)2/3

A: The given function is: y = (5x + 1)2/3 The chain rule is: ddxfgx=f'gx·g'x And, the derivative of xn…

Q: Find the second derivative of the function. s = + 9t + 5

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Q: y = (x² + x + 1)²

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