Use the definition of the derivative to find f fx) = 2/(x + 3)

Q: Compute the derivative using derivative rules. y = (2e3x + 3e-2x)4

A: Solution:Given     y = (2e3x + 3e-2x)4 Formula:ddx(xn)=nxn-1ddx(eax)=a eax

Q: Find the second derivative of the function. Fx) = x In VR) + 9x f"(x) -

A: Answer and explanation is given below...

Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =…

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Q: use the definition of derivative to find the equation of the tangent line to the graph of f(x) = x2…

A: To find the equation of tangent line at the given point.

Q: Use the definition of the derivative to find (x) where f(x)=v3x+1

A: Definition of derivative state that, If n is a positive integer, the power rule says that the…

Q: Calculate the derivative of f(x)=4x³ with respect to x and evaluate this derivative at x=2.

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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: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =…

A: Given function is : fx=6x2 To find out slope of tangent at x=2 , Differentiate fx with respect to x,…

Q: calculate the derivative with respect to x. x3R5 = 1

A: Given expression

Q: Use the limit definition of the derivative to find the equation of the line tangent to f(x) = (x –…

A: Given, f(x)=(x-3)-2 f(x)=1(x-3)2

Q: State the theorem for Second Derivative Test for f (x, y).

A: The second-derivative test for maxima, minima, and saddle points has two steps. 1. Find the critical…

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: F(x) 1+ xe

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Q: Find the derivative of f(x) = Vx2. What is f'(5), rounded to 3 decimal places?

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Q: 3 f(x) :

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Q: Use the product rule to find the derivative with respect to the independent variable. V7x (6 + x*)…

A: According to the product rule of differentiation:

Q: Compute the derivative using derivative rules.      y = (x 3 + 3x + 9) -4/3

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Q: Use the definition of the derivative to find the derivative of, f(x)=6

A: topic - derivatives

Q: 6. %3D F(x) = 5x

A: f(x)=65x

Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =…

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Q: Analyze the stationary points of f(x) = x2ex by applying the second-order derivative test.

A: Stationary points are occurred where the first derivative of the function becomes zero. If the Value…

Q: Let f(x) = x8 - 8x6. When the tangent line is vertical, what is the derivative of f(x)?

A: Here we will understand the vertical tangent line and we will find derivative of given function,

Q: Calculate the derivative of the function below using the quotient rule. 28 y = Vx + 8x7 f(æ) = %3D…

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Q: Use a quick approximation to estimate the derivative of the given function at the indicated point.…

A: Considering f(x) = 9 – 5x. To find the approximate derivative of f(x) at x = 2.

Q: Use the limit definition of the derivative to compute the equation of the tangent line of f (x) =…

A: We have to compute the equation of the tangent line of f (x).

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

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Q: Use the the derIva tive rule to find derivative of Y= 2x3 -1 X-1 メ 6x -5 X² +1

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

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Q: By using the definition of the derivative, find the equation of the tangent line to the graph of…

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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: Calculate the derivative of the function below using the quotient rule. 28 y = Va + 8x7

A: We have given a function and we have to find its derivative using quotient rule.

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) = V7– 4x. To enter va, type sqrt(a).

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Q: Use the definition of derivative to find the slope of the tangent line to the function f(x) = V2x at…

A: Let's find.

Q: = Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x)…

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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: What is the derivative of f(x) sec(tanx)?

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Q: Find the derivative of f (x) = VI- 4z. To enter va, type sqrt(a). f' (2) = 固助

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Q: Find the derivative of 4x2 +6y3 by filling the blanks.....

A: *to find:- derivative.

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

A: Given :   y = 11x2    at x =1

Q: Calculate the derivative of the function below using the quotient rule. y = 210 √x + 5x8 f(x) = and…

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Q: calculate the derivative with respect to x. 3y3 + x2 = 5

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Q: Use the definition of the derivative to find fx) where f(x)=- 1-x? 1

A: To find the derivative of f(x) using the definition of the derivative.

Q: Calculate the derivative of the function below using the quotient rule. 9x y = 5x + 8 f(x) = and…

A: Given query is to find the derivative using quotient rule.

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,…

Q: Use the definition of a derivative to find f'(x) for f(x) = v2x

A: Solution:Given     f(x)=2xTo find f'(x)Formula:By the defition of derivativef'(x)=limh→0f(x+h)-f(x)h