In Exercises 21-30, find the higher derivatives of the given functions. Simplify your answers. 21. у 3x - 2x +5x, find y(5) find y" 22. у 23. у V3-x, find y" х-1, 2x 24. у find y() find y" (2x-5)", (x+3) (2x-3)", find y" 25. y 26. у 3

Q: The projected number of senior citizens in the U.S. for the years 1995 through 2030 can be modeled…

A: Given: Nx=0.03x2+0.315x+34.23x is no of years after 2000

Q: What is the derivative of y = (2x - 2)? ? (2x 2) 3 y = %3| 2(2z – 2) %3D 2(2a 2) 3 2(2a- 2) %3D 3

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Q: obtain the second derivative of the function: y=2-5x^4+3/2x^2

A: Please refer the attached image for complete solution.

Q: 2=D5 +y

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Q: Find the derivative of y = (4 - 2x³)(2x + x³). O a. y= 12x5+ 16x - 12x² - 8 O b. y = 12x° + 16x³ +…

A: As per our guidelines we are supposed to solve only one question i.e. the first one. For the…

Q: Find the derivative of * y=(2x +1)*(3x +1) 3х +

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Q: What is the derivative of y= 5x² + 10x+5x-3, A None of the given choices (B В 10x + 10 – 15x-4 © 5x…

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Q: Exercise 0.2.10: Find a solution to (x')² + x² = 4 using your knowledge of derivatives of function=…

A: As you ask multiple questions ,I only solve first one

Q: Find y" Зх + 2 y =* 2х- 3

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Q: If y = (x + y)², find Dzyusing implicit differentiation. 2a + 2y 2x + 2y 3y? – 2x + 2y 3y2 – 2x - 2y…

A: Consider the given information. y3=x+y2 Now, find the implicit derivative with respect to x.…

Q: FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM y= e3x-e-3x/e3x+e-3x

A: Second derivative of a function.

Q: 4 A) Differentiate y = 4Vx +-+ 10 8 8 B) Find the second derivative of y = 4Vx +- * + 10

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Q: Find the 2nd derivative of y: 2x - 1 y = 2x + 1

A: Given,

Q: Question 4 What is the second derivative of y = csc* (2x) ? A y"= -8 csc“ (2x) cot (2x) B y" = 16…

A: Please see the answer below.

Q: Calculate the second and the third derivative of y = 4x 4 y": y" =

A: As we know that; The sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 Given: y=4x-4x Now…

Q: Show clear and clean solutions. 1. By definition, find the derivative of a.y = %3D x+4 b. y = 4x2 –…

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Q: Differentiate y - V3x² – 4 using the Chain Rule. 6. What is the outer function of the given problem?…

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Q: Find the derivatives of the functions in Exercise

A: The given function is y=x-35+π32

Q: In Exercises 13–32, findthe derivative of the function. y = (2x − 7)3

A: The derivatives of a nested form of functions can be calculated by using the chain rule of…

Q: Find the derivatives of the functions in Exercise

A: Find the derivatives of the functions in Exercise

Q: Find the derivatives of the function f(x) from the first principle x4+4

A: Here is the solution

Q: Find the derivatives of the functions in Exercis

A: Given, y=5-2x-3+182x+14

Q: A. Get the derivative of the given function. 1. y = (5x³ + 4)² 2. y %3D

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: If y = csch4 2x°, find the 1st derivative a. 20x*csch42x° coth 2x5 b. -40x4 csch4 2x° coth 2x c.…

A: Some derivative formulas: ddx(f(x)g(x))=f(x)ddxg(x)+g(x)ddxf(x) ddx(u(v(x)))=u'(v(x))ddxv(x)…

Q: Find the derivative of 1-3)* (t3 -8) ,t # 2 2-t

A: Explanation of the answer is as follows

Q: Find the first and second derivatives of the functions

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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: Calculate the derivative of the function. 1 h(x) = (3.1x - 4)2 (3.1x – 4)2 = (x),4 Need Help? Read…

A: It is required to find the derivative of the given function h(x)

Q: (2x + 3)4 (5x + 1)(x² + 3) y = (3х — 1)3, Find the derivative of the function x3 + 4 A. dy dx (2x+3)…

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Q: 4x5-9x2-3 Find the derivative of y= x2 Select one: O A. y' = 24x2 + 8x-3 O B. y' = 12x2 + 6x3 O C.…

A: In this question we have to find differentiation.

Q: Find the second derivative of y² + 2x³ = 1 – 4y

A: The given equation is y2+2x3=1-4y Rewrite as  y2+2x3+4y=1 differentiate…

Q: 2. Find y' by implicit differentiation. (1) xy-3x+2x =8 (2) 9x² +4y² = 25 (3) x²+2xy- y² =5 2 3 = 6…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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

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Q: Find the second derivative (y”) of 4x2 + 9y2 = 36 by implicit differentiation. a. -16y3/9      b.…

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Q: Find the second derivative of y² + 2x³ =1– 4y

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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: calculate the derivative with respect to x of the other variable appearing in the equation. 18)…

A: Given: x+y12=1x+1y To Find:  To calculate the derivative with respect to 'x'.

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

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Q: What is the second derivative of y = 6x+ – 3x³ + x2 – 5 a. y" = 24x3 – 9x2 + 2x b. y" = 144 C. y" =…

A: As per guidelines we will solve only  the first question  in the following step. If you want more…

Q: 5. f(x) = [(x + 5)5 – 1]4

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Q: Find the derivative of y = (5x − 2)/(x2 + 1)

A: Given:           y=(5x−2)(x2+1)

Q: 11. What is the slope of the tangent line to the curve y = 3x² – 5 at point (-1,-2)? %3D a. -5 b. -6…

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Q: 1) find the derivative of y = 4x2 – 3x – 2 | | then evaluate f'(x+3)

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Q: Find the derivative of y = x²( - %3D x2+1

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Q: Find the derivative of the function. %3D X-1 y'= 23,3,2 (x-12 y = -2+3x2 (x- 12 y = 203ి - మెపి (x -…

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Q: Find the derivatives of the functions . 1. y = x5 - 0.125x2 + 0.25x 3. y = x3 - 3(x2 + p2) 5. y = (x…

A: Given,

Q: Find the first derivative: y = In V2x3 -5 222 O y' = 2z3-5 5z2 O y' = 223-5 3z2 O y'= %3D 223-5 O y'…

A: Using Chain rule Y= f(g(x))  so Y' = f'(g(x))•g'(x)

Q: The derivative of y = 3 ,5 is

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Q: find the critical points and apply the Second Derivative Test (or state that it fails). y = 6x^3/2 −…

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Q: Find the derivative of the function. 3x-4 %3D 2. X+6x y' = ]

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