12. Given the function y=6x-2, find the derivatives O -6 O 2 O -2 Required

Q: 20. The fourth derivative of y = Jx -1 is 8 D.-은(x-1) 2 16 15 A. -(x – 1) В.- С.- 8. (X - 16 M| 00

A: This question is related to differentiation, we will use basic differention rules and results to…

Q: 5. Find the first and second derivatives of y if y is a function of r defined implicitly by x* + y*…

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Q: 4. Find the second derivative for the following functions : a) y=(x+!)' (ans.:6x +6+ 12) x' b)…

A: (a)

Q: Find derivatives of the following functions: y= (4x + 3)/In[2x* +3x -s] y= 3(e" +e*Xx² - 4)

A: ANSWER :

Q: 8. the second derivative of f(x) =3e^5x , is а. 15е^5х b. 125e^5x с. Зе^5x d. none of the other…

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Q: find a particular solution yp of the given equation. In all these problems, primes denote…

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Q: 1.2 s Find first derivative for the following functions. dx (a) y = 5+ 6x + 4x3 (b) y = In(2x) +x*…

A: Note:-Since you have asked multiple questions, we will solve the first question with three sub-parts…

Q: Which among the choices has the first derivative that is e (2x+1) (x +3) ? Of(띠) 3D + 글z2 + 2x-8 O…

A: given function has first derivative is f'x=2x+1x+3    f'x    =2x2+7x+3

Q: B- Solve one of the following initial value problems for y as a function of x: 2. = - 1, y(0) = 1 dx

A: Given initial value problem dydx=1x2+1 -1      , y0=1

Q: 1. Find the derivative of the following: 1² + 2r + 1 a) f(1) = r3 - 5x + 3 b) G(2) - VP+1 dt e) y…

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Q: 1 dt. o t4 +5 Let f(x) = Find the derivative f'(x). none of the choices ex e2x

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Q: 4- Calculate the second derivative of the function y = f (x) defined by the equation x3 + y3 +3xy +…

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Q: 10. Find the derivative of y = V3x + 2. c) d) 3x a) 2V3x+2

A: Using derivatives

Q: 1. Find the derivatives of each of these functions: a. y = ln (4x² + 4) b. y = 22² c. y = 25x+7…

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Q: Q1. Find the derivatives of the following: 1. y = -x 2. s = 5t - 31s + 3 4x 3. у 3 4. w = 3z2 - 5. у…

A: Please find the detailed solution in below images

Q: B- Solve one of the following initial value problems for y as a function of x: 2. %3D x²+1 dx 1,…

A: To solve the given initial value problem as a function of x

Q: Solve the following problem over the interval from x-0 to 1 using a step size of 0.25 where y(0) =…

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Q: 4- Calculate the second derivative of the function y = f (x) defined by the equation x'+y° +3xy +…

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Q: I. Find the derivatives of the following functions: 4. -3xy2 + 5x²y² = 2x² 5. x3 + y = 2x3 y³

A: (i). The given function is: -3xy2+5x2y2=2x2

Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

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Q: Find the first and second derivatives of the functions w = ez(z - 1)(z2 + 1)

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Q: 13. In y = what is the derivative of 2x2 +3? x+1 a) 2x b) 4x c) 4x +3 d) 7

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Q: 4) a) Determine the derivative dx of the following functions y = 3** b) 1-3- 3e² 1² c) y d) y =…

A: We have to find the derivative.

Q: 4- Calculate the second derivative of the function y = f(x) defined by the equation x³ + y3 +3xy +…

A: The given function is: x3+y3+3xy+3y2+6x+6y=0

Q: B. Find the first and second derivatives of the following: 1. m(x) = 2(x)(√x) 2. a(x) = √3x 3. [u(x)…

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Q: find a particular solution yp of the given equation. primes denote derivatives with respect to x.…

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Q: = x³y² – 3x²y + 5x – 3y + 12

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Q: Use the theorem of Leibniz in the following problems: 1. Obtain the n'th derivative of: x2y [x?y") +…

A: The objective of the question is determine the nth derivative of the given equation.

Q: Can you help me step by step?

A: To determine the value of first and second derivative of the function

Q: 22. Find the required derivatives. a) y = (4x3 - 2x + 1)-2; find y b) x = Vy? + 1;find x"

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Q: 24// Find first and second derivatives of the function (3xy + 7)2 = 6y.

A: Step:1 We have to find the first and second derivatives of 3xy+72=6y Here we have to find the…

Q: 3. find the second order derivative 어: Xt xy t y= 16 2 4.

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Q: find a particular solution yp of the given equation. primes denote derivatives with respect to x.…

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Q: Given the function y=(2x+1)3(x−1). Find all derivatives of the nth order from n=1 to n=5.

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Q: 8) Find the derivatives of the following: a) f(x) = 4e* – 2x + 5 b) f(x) = ln 2x² c) f(x) = (4 – x)5

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Q: 5. Find the General and Particular solution of 2 = 3y ; y = 3, when x = 0 dy dx

A: We have dydx=3y Now, we can write this as: dyy=3dx Now, integrate both sides: ∫dyy=∫3dx⇒lny=3x+C…

Q: The derivative of the function y = In (* + 1) (* - 1) is O y = O y = :- - 1 e+1 + -2 +1 ||

A: Question is solved.

Q: Find the indicated derivative. dt for y(2.4t-3t)(2t+1.1)

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Q: 2. Find the derivatives of the following functions as specified: a. h (2) = (9z +4), b. g (x) = (æ²…

A: I am attaching image so that you understand each and every step.

Q: 20. The fourth derivative of y = Jx-1 is 15 В. - 16 8 D. - (x-1) 16 A. (x-1) C. - 8

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Q: 1. Eliminate the arbitrary constants on the given equation: y = A + Be*

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

Q: 5 Find 은 for y= |(*+2)°dt Choose the correct derivative below. O A. 원-40 (x*+2)기| 5 O B. - (* +2)*…

A: Given:y=∫0x t4+28 dt5

Q: 1. Find the derivatives y = x' /4x -1 y =- y= (2x + In x)? V1-2x 2. If f(2) = 4, f'(4) = 6, f'(2) =…

A: We will use the formula (uv)' = uv'+u'vuv' = vu'-uv'v2(f(x)2)' = 2f(x)f'(x) 1) Consider y = x24x-1y'…

Q: Find the derivative. y= e at O 4(1/4)x -4(5/4)x In 4 4(3/4)x In 4 4(5/4)x 25 n4 16

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Q: B. Find the indicated higher order derivatives *** (1+x)² 2. y"'if y = x2

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Q: 11. 5 4 Determine the derivative of y=x° – x* + 6. - Enter your next step here dy ab a + JT 00 () dx…

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Q: 9. The derivative of the graph x+y² D5 with respect to time is c-2y+ 20 C. a. y +x d. -y 2x +2y

A: Q 9 Given that: The graph: x2+y2=25

Q: B) Find the derivatives of the following functions 2) y=2 Vx-1 sec Vĩ 2 (x+1)10 (2x+1)5 7) y=ttanh…

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Q: 18. Up to what derivative is the derivative of y = x6 + 2x5 - 4x4 + 7x³ becomes 0.? a. yv b. yu c.…

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