Find the function whose derivative is Inx+1. A) xlnx B) x+xlnx x+1/x D) x+Inx

Q: h(x)=(x° +1} (2x+5)*

A: Given : hx = x2+132x+52

Q: Find the Derivative f(x) = cosh(In(4x))

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Q: Find the derivative of ƒ (x) = /7– 8x. %3D To enter va, type sqrt(a). f' (2) =

A: We have to find the derivative of the given function.

Q: Find the derivative of the function.

A: Use the chain and quotient rule of derivative to differentiate the function.

Q: Find the derivative of 8arcsinh(x2)

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Q: Find the derivative of f(x) = In(x² + 1) %3D

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Q: Q1 Prove that the derivative of (2x +1) 2 is 4 (2x + 1) by using first principle derivative.

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. x. 4 g(x)…

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Q: Find the derivative. y= In x+3 %3D

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Q: 5. Find the derivative by using the quotient rule. 3x - 2 (a) 2x +3 V+2 (c)- 3+2x (b) x +1 x+2 (d):

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Q: Find the derivative of: f(x) = (x3 + 2) In(x)

A: Consider the function

Q: Find the derivative of f(x) = √5 - 4x. To enter √a, type sqrt(a). f (2)

A: The objective objective is to find f'(x).

Q: A Find the derivative using the three-step rule. 1. y = 11-9x

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Q: Verify the statement by showing that the derivative of the right side equals the integrand on the…

A: To calculate the integral

Q: Let f(x)=," 1 Use the definition (first principle) to determine the 1-x derivative of ƒ(x).

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Q: 6. у3 2x – Jx² – 1

A: Given function y=12x-x2-1 we want to derivative of given function with respect to x

Q: Find the derivative of f(x) = Inx + 1].

A: f(x) = ln [x2x2+1]f'(x) = ddx[ ln [x2x2+1] ]f'(x)= 1 x2x2+1 ddx[x2x2+1]

Q: Find the derivative of ƒ (x) = /9 – 2æ. To enter va, type sqrt(a). f' (x) =

A: The chain rule says that when the terms inside a function being differentiated does not correspond…

Q: Use the DEFINITION OF A DERIVATIVE to find the derivative of the function. 5) f(x) = 2x2 at x 1 %3D

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Q: Verify the statement by showing that the derivative of the right side equals the integrand on the…

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Q: 1. у %3D 4x? — Зх — 2.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the derivative of f(x) = (1 + 7x2)(x − x2) in two ways. 1. Product Rule 2.Perform the…

A: For product rule we use u=1+7x^2 and v=x-x^2Product rule = u'v+uv'Answer: f'(x)=1-2x+21x^2-28x^3

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f (x) = 20 – Pdt .

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Q: Compute the derivative of 6x2 f(x) = In(r) %3D

A: We have to find derivative

Q: Compute the derivative using derivative rules that have been introduced so far       y = √(7x - 3)

A: To find the derivative: y=(7x-3) Solution: y=(7x-3) Differentiating both sides w.r.t x we get:…

Q: Q1 Prove that the derivative of (2x +1)2 is 4 (2x + 1) by using first principle derivative.

A: as per our guidelines we are supposed to answer only the first question. Kindly repost other…

Q: Estimate the derivative of the function f (x) = -3 at the point a = 3. %3D

A: Here given as fx=x3-3 Differentiate with respect to x f'x=ddxx3-3=ddxx3-ddx3=13

Q: Let f(x)=9−(4x^2+3x). Then according to the definition of derivative

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Q: Find the derivative of f(x) = (2x^2-x-1)(sqrt of x) %3D

A: A detailed solution is given below.

Q: Compute for the derivative of the function f(x)= Arctan (csc2 (3x2/3))

A: Some derivative formulas: ddxtan-1x=11+x2 ddxcscx=-cotx cscx Chain rule of derivative:…

Q: use the limit definition of the derivative to find the derivative of flx) = 4x+ 3 x-| %3D

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Q: Find the derivative off (x) = 9x - 5 at x = 2 and x = 5.

A: Given f (x) = 9x - 5

Q: Find the derivative of f(x) = 9 sinh-' (x²) – 9 In ( Vx4 + 1). %3D

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Q: Find the derivative and state the domain of f(x) = In(x + 4) %3D

A: In this question, concept of derivative is used. Derivative The derivative expresses the rate of…

Q: 3/ By using the definition of derivative, proof that tan x = sec? x. %3D dx

A: By definition of derivative , f'(x) = d(f(x)dx= limh→0f(x+h) - f(x)h L Hosital's Rule :When limit is…

Q: What is the derivative of a function f(x) = 4x³ – 3x2 at a number a? %3D

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Q: Find the derivative of f(x)  =(a + 2x2) (x - x2) in twoways: by using the Product Rule and by…

A: We have given function  fx=a+2x2x-x2 At first we  will use product rule:…

Q: In x 9) у - %3D x5

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Q: Use the definition of the derivative to show that the derivative of y = f(x) = 2x² is f'(x) = 4x.…

A: Given that: y=f(x)=2x2

Q: Use definition to find the derivative of the function f(x)= 2x-3x2 at x = 3 %3D

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Q: 1. Determine the derivative of: f (x) = 4x3 – x² + 5x + 9 %3D -

A: We need to find the derivative of the given function.

Q: Find the derivative of the function f(x) = v4-x2 by definition

A: The given function is f(x)=4-x2 The definition of the derivative is given by: If a function f(x) is…

Q: Find the derivative of the function. f(x) = 2x In 2x %3D

A: Given, f(x)=2xln2x To find the derivative of f(x).

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. x. g(>…

A: We know that, the First Fundamental Theorem of Calculus says that if f be a continuous real-valued…

Q: Obtain the derivative of the function y (ctg(5x))} y =- - sen? (5x) + 1

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Q: Find the derivative of f(x)= 11x^2 at x=1 please use definition of derivative formula

A: Given :   y = 11x2    at x =1

Q: Compute the derivative of y= sqrt(3−x2)+sin^−1(5x).Answer: y′=

A: The formulas that we use is written on the board .

Q: Find the derivative of f(x)=5-x/2sin2x

A: Consider the given function.

Q: s(w) = In( w - %3D

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Q: Find the derivative of the tangent line 3x^2 +3x+3

A: We have to find the derivative of tangent line for the given curve: y=3x2+3x+3 We know,…