-2 27. The first derivative of y = is (4x+1)3 а. -24 b. 24 C. -6 d. (4x + 1)* (4x + 1)* (4x + 1)* (4x + 1)*

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: Part A,B,C

A: 2.(a) Given:

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

A: (a)

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

A: Topic:- calculus

Q: 15. Which of the following has terminating derivative? 1 1. у %3 Зх3 — 2x2 + х-1 —5 II. y Зx+2 1 . у…

A: We will find the terminating derivative.

Q: Q-1Find the derivatives of the functions 1- Y+In (xy) =1 2. Inxf 9.

A: Note:- Derivative of the product of two functions is ddx fx·gx  =f'x·gx+fx·g'x   Part (1):-  Given…

Q: 13. Find the derivative of y = ef 2e D.y'= A. y' B. y' = - C.y: cy-

A: The function is y=e2x

Q: 3. Find the derivative of y with respect to x in the following functions : 18x'y (3x'-2)' u? a) y= u…

A: We have to calculate derivative of the given functions.

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

A:

Q: B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In; x²+y

A: Given that a function f(x,y) is continuously differentiable on an open region, we can derive the…

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

A: Using derivatives

Q: What is the approximate value of the first derivative of S(x)=-01x-0.15x-0. 5x-0.25x +1. 2 at x-0.75…

A:

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

A:

Q: 2х + 5 а. Ify- dy then find and simplify dx x2 – 1' 2х + 5 b. Suppose we rewrote y as + C, where C…

A:

Q: 8. Compute the derivative of the following equation. (1) y = (x +1)3(2x – 2)2 (ii) y2-4x² y+x=16

A:

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: 2.5.042. Find the derivative of the function. s(t) t2 + 8t-5 %3!

A: Topic:- derivatives

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

A:

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

A:

Q: Q. 2 (a) find the derivatives for the following functions. (1) y = 5x - 6x' (ii) (x'+5)/(x+3) (ii) y…

A:

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 derivative of the following: y = 2x* + + 3a? – 7 O y' = 8x³ + a² + 6x O y' = 8x + 2æ² + 6x…

A:

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

A:

Q: 7. Find the first derivatives of each of the following: a. y= 10x³ – 4x² + 6x – 12 b. g(x) = x'e" c.…

A:

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)…

A:

Q: Find the first and second derivatives of the functions w = 3z2e2z

A: Given:Assuming the given function is:

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: 9. Find the derivative of y = xe3-x (A)e3-x? (B) 0 (C) e³-x*(1– 2x?) (D)–2xe³-x² (E) e3-x*(1+ 2x²)

A: Given : y = xe3-x2

Q: What is the derivative of y = (x2 + 1) e-3 ? O y = (x² +1) (e-3) + xe² - 3 O y = (x² +1) (e*-3) +…

A: It is required to find the derivative of the given function.

Q: 3. Find the second derivative of f(x) = 2sin²(3x) а. 36сos? (3x) — 36sin? (3x) b. 36сos (3x) —…

A:

Q: 6e + 4 Find the derivative of g(x) 10r5 + 5x3 %3D = (z),6

A:

Q: 6. Find the derivative of y = t2 ? = 2t b) = 2t d) = 2 a) 2 dt 4..

A:

Q: x² + 1 What is the derivative of y= - x2 + 4 A None of the given choices 10x B (x² + 4)²

A: The given function is y=x2+1x2+4 Differentiate with respect to x,

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

A:

Q: Find the second derivative of each item. 1. y = x° + 3x2+ 4x 1 2. y = 3. y = /(4 – x2) 4x 4. y = x +…

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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: 4. Determine lim 3x +x?. *--2 а. 10 с. 6. b. -2 d. -4 dy 5. Determine the derivative for y = 2x' -…

A: Dear student policy is to answer first one only yet I answering first three  for you kindly repost…

Q: 25. Find the derivative of the function. y = (1+ 3x)e - 3x O A. - 9e - 3x 3x В. - 3(1 + 3х)е - 3x -…

A:

Q: Q3. Find the derivatives of the functions 2x + 5 a) y b) w = (2x – 7)(x + 5) Зх — 2 5x + 1 с) и 2 Vx

A: We have to find the derivative of the following functions a)  y=2x+53x-2 b) w=(2x-7)-1(x+5) c)…

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

A:

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: functions u+2v=x^2-y^2 and 2u-v=

A: Here we have,  u+2v=x2-y2 ................................ (1)  2u-v=2xy2…

Q: Get the first order derivative of the function x? – 3x5y* + 2x = 5. y 2xy-15x*y*+6x² 5-x²+15x=y* a.…

A:

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…

A: