Help Solve in Product Rule find f’(x) and f’(c) ; g(x)= x^2 - 4 / x + 3 , c=0

Q: Find the derivative of f(x) = (1 + 2x²)(x – x²) in two ways: by using the Product Rule and by…

A: Given f(x)=(1+2x2)(x-x2) By Product rule,…

Q: . Suppose you are writing an exam and you cannot remember whether the derivative of arcsin(x) 1 1…

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Q: Choose the correct answer by using the Product rule of derivative. d dx - (x4.x7) is equal to…

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Q: yこ(3x)2 - 5c0s x : 1(3x) |(3x)" -Scosx

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Q: Sketch the x^2 And the derivative And integration

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Q: True Or False: Derivative of (arcsin(x^3))^4 = [12x^2 (arcsin(x^3))^3] / sqrt(1-x^6)   Show…

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Q: Va2 -x2 y=Arcsin + 6. X

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Q: find the derivative of f(x) = (x²+4)(3x³ – 2x) at the point x = - 3[ use product rule]

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Q: Find the first derivative of: y=〖sec〗^4 x-〖tan〗^4 x y=xArcsinx + √(1-x^2 )

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

Q: Solve the given function using chain rule of differentiation. Show your full solution.

A: On solving this we will get

Q: d dx 0 = (ɔ)-

A: Given that: ddxc=0

Q: Nth Derivative Of x3 ln(x) Problem Based On Leibnitz Theorem

A: To Determine: find Nth derivative using Leibnitz theorem. Given: we have x3logx Explanation: we have…

Q: find the second derivative and simplify the final result 9. xArctanx - ln (square root of x^2 + 1)…

A: y=x tan-1x-lnx2+1

Q: 2. Identify the derivative (9) based on the product rule ie, (G). Simplify to a single term.

A: Given ∂∂TGT

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: 4 6. ν- x3

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Q: find all possible functions with the givenderivative. y' = √θ - sec2 θ

A: Given: y'=dydθ=θ-sec2θ for evaluating solution of given differential equation, we use variable…

Q: Use the sign of the derivative to establish the inequaltiy ln(1 + x) > x − x2 2 , ∀x >0

A: SOLUTION-

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

A: Given function is fx=1x+4. Compute the first derivative. f'x=1x+4'=-12x+432

Q: find the derivative of f(x) = (x² +4)(3x³-2x) at the point x =- 3[use product rule]

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Q: What are the formulas for differentiation and integration? How to apply those formulas?

A: See the attachment

Q: Find an equation of the tangent line to the graph of function f(x): 3 %3D x+5 at the point (2, ).…

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Q: find the derivative of f(x) = (x²+4)(3x³ – 2x) at the point x = - 3[ use product rule] В I !!

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Q: 3) Use the definition of derivative (do NOT use the short cut method) to find_ƒ'(x) given that f(x)…

A: This question is based on finding slope using definition of derivative.

Q: What is the anti-differentiation rule to be used in order to integrate the function f Vx5 dx. a.…

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Q: hCt)-5t (1-ビ ((チ1) (け)

A: Given query is to find the derivative of the expression using product rule.

Q: Using chain rule, find the derivative of the hyperbolic functions: f(x) = tanh(4x) f (x) = In…

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Q: Find the derivative of the function by using thẻ Product Rule. Simplify your answer. f(x) = (Vx -…

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Q: Find the first derivative by applying the appropriate rules. DO NOT SIMPLIFY the algebra. (a) fx)…

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Q: How do the two versions of Fundamental Theorems of Calculus enable us to understand further…

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Q: Using method of sub., find the Anti-derivative 1 x In x

A: detailed solution is given below

Q: The integral factor transforms the equation from not exact equation to an exact equation

A: We use the definition of Exact differential equation to obtain the answer of the given question.

Q: Explain how to find a differential of a function.

A: Let us consider a function f(x) and its differential to be f'(x)

Q: Find the first derivative by increment method. Show your complete solution V7x – 12 Upload your…

A: The given function is 7x-12

Q: Find an equation of the tangent line to y = 16e* sec(x) at x = 77. (Use symbolic notation and…

A: In this question, we want to find the equation of the tangent line to the given curve at given…

Q: Compute the derivative of the function y = 5 sin-'(x) at the point x (Use symbolic notation and…

A: We know, ddxsin-1(x)=11-x2

Q: Find f"(x) f(x)= J3x-7

A: Given that, The function f(x) is, f(x) = 3x-7 We have to find the second derivative of the given…

Q: Find the derivative of f(x) = 3/x at x = 3 by using the definition of derivative. Note that you will…

A: Given,f(x) = 3x at x = 3

Q: Give examples of basic integration using exponential rule

A: Give examples of basic integration using exponential rule Let us integrate an exponential function.…

Q: 2- 3x-I

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Q: olve for the derivative of the function using chain rule.  2. f(x)=4√ -3x4-2

A: 2)

Q: 27. Find the derivative of f(x) = (1 + 2x²)(x – x²) in two ways: by using the Product Rule and by…

A: Derivative of the function f(x) is given by

Q: (x² +2)S UI -人 S-X

A: →First of all, simplify the given expression using logarithmic property.              ln(ab) = ln(a)…

Q: 2 2. f(x) = 5-x², (3,-4)

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Q: Use implicit differentiation by partial derivative to solve for dx of function 3x2 + 2xy = -4y3. %3D

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Q: First Derivative of: (tan3(2x)) / x1/5 + ln(7x+4)

A: (U/V)' = (VU' - UV')/V^2

Q: 1. 1. f(x) = 4x³ · cos x

A: Given: fx=4x3.cosx

Q: Find the second derivative y=5e^x -2/x^3 +4sqrt(x) -12sec x + 5lnx - pi/2= Find equation of tangent…

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