f(2) — V3х — 7

Q: Use the definition of the derivative to find f' (x) for f (x) = v2x + 1.

A: The derivative of f(x)=2x+1 is to be found using the definition of derivative. The derivative of…

Q: Find the derivative of function defined as follows.

A: Find the derivative of the function.    y=x3-x216+4x+9

Q: What is the derivative of f(x) = x² +x² a +2 where a is a constant ? xa+2

A: We write f(x) using exponents f(x)=x7+x2+a+2xa+2f(x)=x7+x2+(a+2)x-(a+2)

Q: b) Use the definition of the derivative to find the derivative of f(x) = 4x³ + - at a = 1. 23

A: Given: fx=4x3+1x3; x=1 We know that ddxxn=nxn-1                                          ..1

Q: Find the derivative of the function f(x) = V(a3 + 7x) by using the definition %3D of the derivative.

A: Let's find.

Q: Find the derivative of the function f by using the rules of d + 8x + x – 5 f(x) = f'(x)

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Q: What is the derivative of f(x) = 8x-4 with respect to x?

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Q: Use the limit definition of the derivative to find the derivative of the function 3x – 7 f(x) = %3D…

A: The function f(x)=3x-75x2+1. We have to find the derivative of the given function using the limit…

Q: For the function f(x)=2x^3-12x^2+20, Use the SECOND DERIVATIVE TEST to find the relative extrema.

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

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

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Q: Given f(x) = vx +8, find f' (-4) using the definition of a derivative. Provide your answer below:…

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Q: find the derivative of f(x) = x2 – 3x + 4, and then 3) evaluate f '(2)

A: Given : f(x) = x² - 3x + 4

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). f(x) = x2…

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Q: Find the derivative using the definition. a. f(t) 2t+1 b. g(x) = 2x² +1

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Q: Use the definition of derivative to a) f(x) = x - 2r? b) f(- %3D

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Q: Use the Quotient Rule to find the derivative of the function. 5x - 8 23TOM YM x2 – 1 g(x) = g'(x) =…

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Q: Find the derivative of the function f(x) = (3x+2)^2 in two different ways.

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

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Q: Use the alternate form of the derivative to find the derivative at x-c, if it exists. f(x) = x³ +2x2…

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Q: Consider the function x + 5 f(x) : + v2 + 7x 4 – x Use the definition of derivative to find f'(0).

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Q: Use the chain rule to find the derivative of f(x)=5e^(3x^9−6x^10) f'(x)=____

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Q: Find the derivative of the given function 1. f(x)=6x³-9x+4 2. y= 2t⁴-10t²+ 13t

A: (1).       f(x) = 6x3 - 9x + 4Find the derivative :f'(x) = 18x2 - 9 (2).            y = 2t4 - 10t2 +…

Q: Use the chain rule to find the derivative of 16 f(x) = 3( – 52° – 9x")" You do not need to expand…

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Q: Use the chain rule to find the derivative of 16 f(x) = 3(8r" - 5z ) * You do not need to expand out…

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Q: find the derivative using the definition g(x) = 2x2 + 1

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Q: Use the definition of the derivative to determine whether x 2 x, f(x) = is differentiable at x = 2.…

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Q: 4x+1 b. g(x) 9х-2

A: Given : g(x)=4x+19x-2   To Find : Derivative of g(x) using definition   NOTE:If f(x)=uv  , where u…

Q: Find the derivative of the followin 1 y%3D (x² - 3) (x² + 3x + 3)

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Q: Consider the following. f(x) = 5x2 + 4x – 18 (a) Find the derivative, by using the definition. f'(x)…

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Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists .

A: The derivative of a function fx at x=c is determined using the following alternative form of the…

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

A: Proceed as shown below

Q: (3x² + 1)(2x – 1) 27. f(x) 5x + 4

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Q: Use the definition of the derivative to find f'(r). 1. f(x) = 3x2 - 4r + 5 3. f(r) = 5x – 2 %3D

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Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (г) — 5x — 4 2. f (x) =…

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Q: Given f(x) = Vx+ 8, find f' (-4) using the definition of a derivative. %3D Provide your answer…

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Q: function with respect to x. a. f(x) = -4x – 2 b. f(x) = 3x² + 4 c. y = 3x² + 3x + 3

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the derivative of f (x) = 2xº – 25 + 4.

A: Given, The function is f(x)=2x9−x5+4.

Q: Use the chain rule to find the derivative of 3e^ 8x^7−6x^6 Use e^x for exex.

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Q: Use the definition of the derivative to find: f(x)= 1/x^3 g(z)= z^4 - 8z^2

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

Q: Use the chain rule to find the derivative of f(x) = 2(10r° + 9®)™ You do not need to expand out your…

A: Given: f(x)=210x8+9x615

Q: Find the derivative of f(x) = -4x 3+4 Provide your answer below: f'(x) = D

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

A: Given function is fx=x-623. To find the derivaitve of the function at x=c. Differentiating with…

Q: f(t) = 4t – 5t2

A: f(t)=4t-5t2

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: Given use the definition of the derivative to show that f(x) = 4x + 3x- 1 f' (x) = 8x + 3

A: f(x)=4x2+3x-1 Definition of derivative:…

Q: Use the General Power Rule to find the derivative of the function. g(x) = V3 - 9x %3D g'(x) =

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

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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