Consider the function f(x) - 2x + 1 Compute each of the 3 following. Simplify your answer and use exact values. f'(x) Preview f''(x) Preview f'''(x) = (x) Preview

Q: use the definition of derivative to find f prime (x). f(x)= 3(2x-1)^3

A: Given function is fx=32x-13. To find the derivative of the function using definition of derivative.…

Q: Find the derivative of the function. f(x) = (9x2 – x) In(x) f'(x) =

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Q: Consider the function f(x) whose second derivative is f”(x)=5x+2sin(x). If f(0)=4 and f’(0)=4, what…

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

A: Note:- These are multiple questions and according to our company guideline we can do maximum 1…

Q: Compute the derivative of each of the following functions in the two ways given. F(x) = (1 + 2x)³ by…

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Q: Find f'(x) using the definition of the derivative. 1. f(x)=x^3-1

A: We have given f(x) = x3-1 So using definition of derivative  f'(x) = limh→0fx+h-fxh So f(x+h) =…

Q: By using the First Principle, find the derivative of the following function at x = 2. 4x + 3 f(x) =…

A: We have to find the derivative of f(x)=4x+3x+1 at x=2 by using the First Principle.

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: 14. f(x) =(In x)* 3. 15. Н(х) 3D

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Q: Find the derivative. f(x) = 5x2 + 6x + 9, find f'(x) %3D O 10x + 6 O 5x + 6 O 10x + 6 O 5x2 +6 W

A: Answer and explanation is given below....

Q: find the function with the given derivative whosegraph passes through the point P. ƒ'(x) = 2x - 1,…

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Q: Use the chain rule to find the derivative of 13 f(x) = 3(6x* – 5a³)* You do not need to expand out…

A: Given that:f(x)=36x4-5x313To find f'(x)

Q: What is the first derivative of g(x) = In 4x²+4x+8 ? x 3 tan x

A: we use Logarithmic properties

Q: Find the second derivative for the functions defined as follows ƒ(x) = (x2 - 1)2

A: Given function: fx=x2-12 fx=x4-2x2+1 Differentiate the equation w.r.t "x"…

Q: apply 1rt and second derivative to sketch graph  1)f(x)=3+7e^(-0.2x) and  2)f(x)=ln(2x+4)

A: In the question we have to draw the graph.

Q: 5. Find the derivative of ƒ(x) = 3x² + 7x + 4 using the difference quotient, then compute f'(2).

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Q: Consider the function f(x) whose second derivative is f''(x)=9x+9sin(x). If f(0)=2 and f'(0)=3, what…

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Q: Find the slope of the graph of the function at the given point. f(x) = 4x5 + 2x - sin(x), (0, 0)…

A: We havefx=4x5+2x−sinx

Q: Find the slope of the graph of the function at the given point. F(x) = 4x5 + 5x - sin(x), (0, 0)…

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Q: Find the derivative of the following function by definition (from first principle): f(x)= x/(x-1)

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Q: Locate the critical points of the function f(x) = x + 2x + 6x - 4 and use the second derivative test…

A: We solve the equation f'(x)=0 to find the critical points of the function. If a is a critical point,…

Q: Find the derivative of the functron. Simplify and express the answer anly. using positive expenents…

A: In this question the given function is y=(x2-5)3x2+3 we have to find y' In positive exponents only

Q: 1. Find the derivative of f(x) = 3x³ + 2x using the limit definition.

A: We have to find derivative using definition.

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

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

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Q: 1. Evaluate the derivative of f (x)= sec(In(x²)). DO NOT SIMPLIFY.

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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: Compute the Indicated derivative. 7. f" (x) for f(x) = 5x2-14x + %3D

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Q: Find the derivative of the function below: 4 f(x) + 1600 In(3 x7 x8 f'(x)

A: Given : fx = -4x7-5x8-6x9 + 1600ln3

Q: Find the f derivative of x given f(x)=(3x)^-1

A: Calculation:Compute the derivative of f(x) = (3x)−1 as follows.

Q: Find the derivative of f(x) = arctan x In(6x? + 6x – 4) - 12x 1 1 In(arctan(x)) + In(6x² + 6x – 4)-…

A: The given function is fx=arctanxln6x2+6x-4

Q: 2х-3 3. у %3 Зx+4

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Q: Graph the function y =x + 1                                      x2+1 by applying the first and…

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Q: Consider the function f(x) whose second derivative is f''(x)=2x+3sin(x). If f(0)=2 and f'(0)=4, what…

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Q: Find the indicated derivative in each using three-step rule. 1) f(x) = x² – 4x +3; f'(x)

A: Solution: As per our guidelines, we are supposed to answer only? One question ( if there are…

Q: Find the derivative of f(x) = 4Vx + +4. O 4 + In(x) 4 x3 O 2 2 .2 O 2-4 O 2/x 4x-2 | 2

A: Given function is fx=4x+2x. We have to find the derivative of fx=4x+2x. Differentiate fx=4x+2x with…

Q: Find the derivative of the following function by definition (from first principle): 1-x f(x) =. 2x

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Q: Find f' (8) from f(x) = V7x – 2 using the definition of a derivative. (Do not include "f'(8) =" in…

A: This question is related to deivative.

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

A: Given:    f(x) = 11 x2  at x = 1

Q: Find the derivative of the following function by definition (from first principle): f(X)=1-x/2x

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Q: Find the higher-order derivative    1. f ''(x)=16x^(3)-38x^(2)

A: Derivative

Q: Find all possible functions with the given derivative. = రx = 1x 2x

A: The answer is given below

Q: Use the definition of a derivative to show that if f(x) = 1/x, then f'(x) = -1/x². (This proves the…

A: Given: fx=1x

Q: 3. If f(x) = 2x² + 3x find f'(a) by using definition of derivative at a point a=4

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Q: Find the derivative of the following function by definition (from first principle): f(x) = x-1

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Q: Find the derivative of the following function by first expanding the expression. f(x) = (2x + 5)…

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Q: Consider the function f(x) whose second derivative is f''(x)=2x+7sin(x). If f(0)=3 and f'(0)=3, what…

A: to find f'(x) integrate the given function c=integrating constant. Then plug x=0 and f'(0)=3 and…

Q: 6) Find the derivative of each function. a) f(x) = In(4x +7) %3D

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Q: Consider the function f(x) whose second derivative is f''(x)=8x+8sin(x). If f(0)=4 and f'(0)=4, what…

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Q: Find the higher order derivative. f"(x) = 4x2 + 9x – 16 - f(5)(x) = %3D

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