3. Find the 4th derivative of the function f(x)=(3x + 2)

Q: Jse the (first principles) definition of the derivative to find g'(x) if g(x) = I+ 2

A: Explanation of the answer is as follows

Q: Find a general formula for f.(n) f(x)=9x2ex Talking about formula to find any derivative

A: Given function

Q: In the given (following) question, , determine whether the statement is true or false. If it is…

A: False. There are two very important points. for a function to be differentiable at a point. 1  first…

Q: Find the equation of the tangent to the graph at the indicated point. HINT [Compute the derivative…

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Q: OLVE THE FOLLOWING: What is the derivative of.6x* – 7x3 + 5x² ? What is f'(x) if (x) = (2x² + 1)(x²…

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Q: Find the derivative of f(x) = Vĩ using the definition of deriva- (note that you must use the limit…

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Q: Find the derivative of f(x) = 8 Vx3 + 5x + 4.

A: Our Aim is to find the derivative of fx=8x3+5x+4

Q: erentiate the following function. You do not need to simplify the derivative. - 12x e f(x) x3

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Q: A. Use the definition of derivatives to determine the derivatives of the following functions. 1.…

A: The definition of the derivative of the function fx is f'x=limh→0fx+h-fxh. Substitute x+h for x in…

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). f(x) = x3…

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Q: Excrcise 1. Find the derivative y', where (3 – x) 3 Y = 1- x \ (3+ x)²

A: Given,        y=x21-x3-x3+x23

Q: In the left-hand column below are graphs of two functions. In the right-hand columns are graphs of…

A: When function is increasing its derivative is positive but when function is decreasing ,its…

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

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Q: hich of the following notions is closely related to the derivative of a function? a. slope b. zero…

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Q: a f(x) = x² sec (ax)

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Q: x+ 4x2-9x-36 y = 4x2+28х+48

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Q: In another universe, there are some extra functions that their mathematicians use: stars, sun and…

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Q: What happens if you can write a function as a composite in different ways? Do you get the same…

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Q: Graph of derivative of function, f'(x), is given. y= f'(x) 1 5 7 8

A: We know that when f'(x) goes from negative to positive then f(x) will be decreasing and then…

Q: Determine the derivative of the function g(x) = ex^2 - e(2x-5). Do not simplify your answer.

A: The given function is gx=ex2-e2x-5. Find the derivative of the given function. Here we use the…

Q: 5. Using quotient rule, find derivatives for the following functions. &r +1 a. y = 2x? +3 4x? +1 b.…

A: Find the derivative

Q: lo ça) = (X?+2x*+)(xZ5x_4) lo メーメ-1)XTー3す f. fad= x

A: As per guidelines we are supposed to answer only first three part. If you want the solution of any…

Q: dæ of (교2) · 2x 0 2f (교2) + f° (x2)· : O 2'f (x²)

A: Given:   d/dx [ f(x2) ]

Q: Find the equation of the tangent to the graph at the indicated point. HINT [Compute the derivative…

A: Given function is   f(x) = 7x + 1 To find the equation of the tangent at x=9. Now at x= 9 , f(x) =…

Q: Complete detailed solution. What is the derivative of 1 1(x) = (2+²+ -x)(-+1+√x²) x+1

A: To determine the derivative of fx=12x-2-x-1+x4x+1

Q: 1. Using the definition of derivative, find the derivative of the follow HomeworK: functions: (a) y=…

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Q: 5. (Refer to the graph of f below) For what value of x is the derivative off equal to zero? 2 -4 -3…

A: Consider the graph

Q: The function f(x) has derivative f' (x) = x°- 3xand satisfies that f(1)=10. .2 Use the Fundamental…

A: ∫f'xdx=fx

Q: In this question, we use derivative rules to compute the derivative of f(æ) = 1/2 7/6 a) First…

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Q: In The given question, , determine whether the statement is true or false. If it is false, explain…

A: If a function has derivatives from both the right and the left at a point, then it is differentiable…

Q: Let the function f be a function and suppose we know that its derivative isf'(x) = 3x – 12. (note…

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Q: Explain why the following four statements ask for the same information: i) Find the roots of ƒ(x) =…

A: i) Find the roots of ƒ(x) = x3 - 3x - 1.

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A: We will use the limit definition of the derivative for finding the derivative of the given function…

Q: Let f(7)=−4 and f'(7)=−8. Then the equation of the tangent line to the graph of: y=f(x) at x=7 is:…

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Q: 4 - Find the derivative of the function y = 2x+3

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

Q: Use the DEFINITION OF A DERIVATIVE to find the derivative of the function. Worth 2 questions. 8 8)…

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Q: 3.2 2. 3t (t 8-4れt。75 ニ

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Q: Question: Which rules do you need to use from above to compute the derivative of 3 f(x) = 2 +de+3),…

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Q: 3+ 4x2- -9х-36 3. у 3 4x2+28х+48

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Q: 2.2 Determine which function is the derivative of the other. Explain your answer. y = f(x) y = g(x)

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Q: What can be said about functions whose derivatives are constant? Give reasons for your answer.

A: Consider f(x) be the function whose derivative is constant as shown

Q: Can you please help me answer this.   * The derivative of the function f(x) = (√6x+3) is: * The…

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Q: Use the alternative form of the derivative to find the derivative of the function below at x = c (if…

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Q: I'm having a hard time with 8 I just don't understand

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Q: Find the derivative of the inverse of the function f(x) = x³ + 3x + 1 at the point x = 5. %3D

A: If x is independent variable for f, it will become dependent variable for f-1 . Let y=f(x)=x3+3x+1…

Q: Use the definition of derivatives using this formula f(x + h) – f(x) lim h 3. Find the derivative of…

A: We have,   According to the definition of derivative,

Q: 6. Find the derivative of the function F(x) et? dt.

A: To find the derivative of the given function use fundamental theorem of calculus formula.

Q: F6.)-x*logs (3x •5) f(x)=x*l| x)=|

A: