EXAMPLE 1 Relating Derivatives The function y = 6x – 10 = 2(3x – 5) is the composite of the functions y = 2u and u = 3x – 5. How are the derivatives of these three functions related?

Q: QUESTION 3 3 1 2 Let A = 1 4 5 2 5 and X2 X= 6. X3 Find (X'AX). Write out its derivatives with…

A:

Q: (a) Find the derivative. y = ln(4x − 2) − 3 ln(x) dy dx =     (b) Find the derivative. y = ln…

A:

Q: ACTIVITY 2: Find the derivative and simplify the result, if possible y = x2 + n² +x" y = x2 sec x y…

A:

Q: 3.2.36 a. Find the derivative function f' for the following function f. b. Find an equation of the…

A:

Q: Example 1: Use differentiation rules to find the derivative of the following. Express your answer in…

A:

Q: Suppose the function V represents the number of people vaccinated for COVID-19 in Kalamazoo country.…

A: Given : V represents the number of people vaccinated for COVID-19 in Kalamazoo country. To…

Q: To Sketch the Graphs of functions using Derivatives. Problem. Consider the function f(x) = 8x - x…

A: Follow the procedure given below.

Q: 25310+5 25802.20 Evaluate the derivative of the given function at the given point. SHOW ALL WORK.…

A:

Q: 5x+√x 3.y=(x²+1)² 4. Using y = 5x + 3x² + 1, find all the derivatives and evaluate f"(2) f(3) (-2).…

A:

Q: -1(1+x Find second order derivatives of the function Tan 1-x

A:

Q: Example 0-12: What is the derivative of f(x) = 4x(x² + 1)3?

A: given

Q: 3 - 1 Find the derivative of y = - 3 with respect tox. tan A. 3 x +9 В. + 9 С. 1 x +9 D. x² +9 B.

A: Use given function find derivative

Q: Can you help me step by step?

A: The given functions r(s) is

Q: 4. Find the derivative. x? + 6x – 5 (a) 5х -1 (b) ƒ(x) = (3xr² – 5x - 7)' Us e chain rule (c) y =(x-…

A: Topic:- derivatives

Q: 2x+1(4x²_5)³ 3 y = e

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Can you help me step by step?

A: The given function is

Q: Question1. Find the derivative w.r.t x. i. f(x) = Cos (3Vx) f(x) = x - x. Also draw the graph of…

A: given,        1.  fx=cos23x2.  fx=x3-x3.  fx=logxx2+1

Q: 1) Consider the function, e2x + e-2x f(x) : e2x - e-2x a. Find the value of x that f is undefined.…

A:

Q: Question -2x – 4 Find the derivative of the function y = 3æ³, 3x3 using logarithmic differentiation.…

A:

Q: . Version 2 of the Chain Rule Use Version 2 of the Chain Ruleto calculate the derivatives of the…

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

Q: [24] 1. Find the derivative of the following function. Make any obvious simplifications. (a) r²y²…

A: Hi, I am solving question 1 for other question repost it.

Q: (2x+5)³(52²-2x) 4. Use logarithmic differentiation to find the derivative of the function y = √2x+5

A:

Q: Example 7: Find all of the second derivatives for f (x, y) = 3xy2 + 2xy + x2. %3D

A:

Q: 6/5 (3 - x). x5/6 The derivative of the function y = In is y' = %3D

A: we have to find derivative

Q: 10-37 Find the derivative of the function. 1 10. f(x) = Vx2 – 1 -

A: As per our guidelines we are supposed to do only 1 question at a time. Please ask other questions as…

Q: Question 2 Let a be a real valued constant. Find the derivative with respect to x: Y = 4ae 1-4ae4z O…

A:

Q: -3- 6. USE THE ALTERNATIVE FORM OF THE DERIVATIVE TO FIND THE DERIVATIVE (IF IT EXISTS) OF f(x) = x²…

A:

Q: (2+2)5 Find the derivative of f(z) = 2-i

A: We will use the formula uv' = vu'-uv'v2 Given f(z) = (z+2)5z-i

Q: Q-1] Find the derivative of the function -9 9 -7 -4 -3 9. 3 6- f(x) = det 6 -1 -2 5 -8 -8 1

A: It is known that if fx=axbxcxdx , then f'x=a'xb'xcxdx+axbxc'xd'x Given matrix is…

Q: 2(1-x²) (1+x²)² A. f'(x) = B. f'(x) = c. f'(x) = D. f'(x): = f(x) = find the derivative of this…

A:

Q: Higher-order derivatives Find y(100) of y = 2x100- 3cosx + 4ex

A:

Q: Find the derivative of the function g(x) 4 – 2x g'(x)

A: We have to find the derivative of the function g(x)

Q: 2² – 6 Calculate the derivative function of g(x) Write your result as a single fraction. %3D 5а + 1…

A:

Q: 1.Find the derivative of the function.   y=2x−5/7x+3 The solution is y′=nothing.

A:

Q: 1. On what instance does the Chain Rule of differentiation applicable? Explain briefly. 2. How does…

A: Recall; COMPOSITE FUNCTION:  A Composite function is generally a function that is written inside…

Q: x3 - 2/x + 1 Using quotient rule, which of the following derivatives is true for the function y = 2r…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Activity 1: Find the derivative of y with respect to x. 1. у%3 3x -5 2. у%3D6 3. y = x2 + 4x 4. y =…

A: solve the following

Q: Find the derivative of: h(x) = (1/x^2 - 1) / (1/x -1)   (1/x -1)^2 –1/x^2 (1/x^2 – 1)^2 (1/x +1)^2…

A:

Q: FIND THE DERIVATIVE OF THE FUNCTION DESCRIBED. (25 1. y (x2- 1) (2x+1) 2. y 2x2 (4x² + 3x- 5) 3 y +1…

A:

Q: If Z = In(x² +y²), find-

A:

Q: Find the first derivative of  y with respect to x (y') of the given function using rules for…

A: To find: The derivative of y with respect to x. Given: The values are y=U2-1U2+1 and U=x2+23.…

Q: Prob. 3 (a) (2) Compute the derivative of the function y = (b) ( sin x 1-x² ) Find the second…

A:

Q: derivatives in Column B. 1. f(x) = 4 A. f'(x) = 8x 2. f(x) = 4x В. f'(x) = -4x-2 3. f(x) = 4x² С.…

A:

Q: x2 - 6 Calculate the derivative function of g(x) Write your result as a single fraction. 2x + 1 =…

A: Given: g(x)=x2-62x+1

Q: 1. Find the first derivative of the function g(r) 6x + 27x2 +36x. g'(x) = %3D 2. Find the second…

A:

Q: Vx-5 a) Find the derivatives of the given function f(x) = ln- %3D 1-x

A:

Q: 2)f(x)=(3x^(2)+8x+3)^-5 Find the derivative of the function

A:

Q: Question:- 3. 11 13 15 12 37 25 31 42 57 Find First & Second derivative at x=3.

A: To Determine :-  The first and second derivative at x =3 by newton forward method.

Q: Example 2. Find the derivative of the following with respect to x. x" +1. (iv) x-5 (i) x12 + 7, (ii)…

A: