et + e Find D53 Note: Read "D" f(x)" as "the n'h derivative of f(x)"

Q: 3. what can the derivative be used for? In essence, what are the practical applications of…

A: This is a problem related to practical application of the derivatives. Please find the procedure…

Q: a(1+x²) Find the derivative 1-x

A:

Q: Dircc tion: Find the derivative of the following function: y= X1og10x %3D

A: Given function is  y = xlog10x

Q: What is the derivative of a function ƒ? How is its domain related to the domain of ƒ? Give examples.

A: Define the derivative of the function f.

Q: Find the derivative of the function using the definition of derivative. g(x) = the square root of 8…

A: Given,g(x) = 8-x → 1Definition of derivativeg'(x) = limh → o g(x+h) - g(x)h → 2

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

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

Q: QI/ find the derivative of the following function 5x +2x+3 f(x) =

A: We use d(xn)dx =nxn-1 here

Q: "pie 33. Find the derivative of (ax + b)n by the definition of differentiation.

A:

Q: 58. True or False The derivative of y = e²* is 2 (In 2) e²". Justify your answer.

A:

Q: x- 1. a. Find the derivative of y =

A:

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

A:

Q: %3D (4) Use the definition of the derivative to find the derivative for f(x) = 3+

A:

Q: Find the derivative of the function. (Simplify your answer completely.) 4 h(x) = 2x2 + = (x), 4

A:

Q: -3x²+tan(3x-5) Explain the steps you would take to find the derivative of f(x) = (e

A: Our Aim is to find the derivative of f(x)=12e-3x2+tan3x-5 -(i)

Q: a f(x) = x² sec (ax)

A:

Q: 6. f(x) = 3-*e*

A: given: f(x)=3-xex

Q: 3z-2x² -1 (2z–1)®

A:

Q: Alternative Formula for the Derivative f'(x) = lim Z-X f(z) = f(x) Z - X

A:

Q: dg Find if g(x) = ez² (in other words, find the second derivative of g). dr2

A: given that g(x)=ex2dgdx=2xex2

Q: Using first principles (by definition), prove that the derivative of a constant is 0.

A:

Q: derive the derivative formula for log a(x) with a>0 and a≠1.

A:

Q: 28. Using the method of "First Principles" and showing all steps, determine the -3 2x-1 properly…

A:

Q: Find the derivative of the function using the chain rule. y = log10(7x)

A:

Q: 4ニ-3x*+2x ty Find derivative of yzfu) only using 4 definition of derivative

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

Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

A: Given

Q: What’s the derivative ? f(x) = xe^-x3

A:

Q: ļim (* +4)- ƒ(x) 3. Find the derivative of the following functions using the Show all your steps. a.…

A: f'(x)=lim(h tends to 0) {f(x+h)-f(x)}/h use this for derivative

Q: show work. ) 12) Find the derivative of function f(x)= In- 1+e* ( answer: 1+e*

A: The derivative of logarithm is expressed as ddx ln x=1x. The quotient rule of differentiation states…

Q: 2х+5 9. Find the derivative of the function (x) = Simplify your answer. Show your 2х-3

A: 9. fx=2x+52x-3f'x=22x-3-22x+52x-32=-162x-32f'x=-162x-3210.gx=cos25xg' x=2cos5x-sin5x5g'…

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

A:

Q: do you find the

A:

Q: %3D 3. Find the derivative of f (x) = Vx(x?-8+)

A:

Q: et Find the derivative of the function g(x) 3 – 4x g'(x) = Preview %3D

A: gx=ex3-4x

Q: A 1. Determine algebraically the values of x for which the derivative equals zero. a) f'(x)= 21 + 7x

A: To find the value of of x where derivative equal to zero, we first make the derivative equal to zero…

Q: What is a second derivative? A third derivative? How many derivatives do the functions you know…

A:

Q: differentiate y= (4x + 3)2 using the Chain Rule. a. What is the outer function? b. What is the…

A: Given, y=(4x+3)2 differentiate using the chain rule.     Find:  a. What is the outer function? b.…

Q: how do i find the derivative of the function ?

A: Given function is,

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: 3x-8 What is the derivative of ? Do not simplify your answer. 4 -x2

A: We have to find the derivative of the expression: 3x2-84-x2 Let y=3x2-84-x2 In this case we will use…

Q: x2-3 b) By use derivative sketch the function f(x) x-2

A:

Q: xp Find the derivative of the function y = (csc x- cot x)-1.

A: Given, y=(cscx - cotx)-1

Q: (a) Use Definition 5.2.1(Differentiability). to produce the proper formula for the derivative of…

A: The definition for the differentiability of a function fx at point c is given by f'c=limx→cfx-fcx-c.…

Q: (826 + z? – 1)*. Find the derivative of f (z) = f' (z) =

A: We have to derivative of fx: fx=8x6+x2-154 Rewriting the given function, fx=8x6+x2-154fx=8x6+x2-154…

Q: y=cos3 x3 Step by step explanation how to find the derivative of this function using the chain…

A:

Q: Using the definition of a derivative, find f' (z) given f(x) = -r +4x +4x +2. (Do not include"f' (x)…

A: Given, fx = -x3+4x2+4x+2  We have to find the value of f'x

Q: Vr2 + 1 VI+1 Calculate the derivative of the function y = log3

A:

Q: 5 Find the derivative of f(x) = -4√x + T8 Type your answer without fractional or negative exponents.…

A: To find the derivative of the given function.

Q: (c) Find an expression for the second derivative of 1/g(x) in terms of g, g', and g", explaining…

A: