Find the derivative of the function by the limit process. f(x) = x2 + x − 8

Q: For f (x) = x2 −2x + 5, find its derivative by using the formal (limit) definition of the derivative

A: We have to find derivative using definition

Q: derivative of the function f (x) = xsec-1 (2x + 1)

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Q: Find the derivative of the function. g(x) =  3 x6  +  2 x3  + 6 3   x   g'(x) =

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Q: Find the derivative of the function f(x) = -8x² – 18x + 23 by definition of derivatives f(x + h) –…

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Q: Find the derivative of the function by the limit process. g(x) = -242 g'(x)=-242

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Q: Use the limit definition to compute the derivative of the function at  x = 6.   f(x) = 2x2 + 6x   f…

A: Given: f(x) = 2x2 + 6x       To determine: the derivative of the function at  x = 6 using the…

Q: 2x+1 Ise Derivative Rules to find the derivative of g(x) x2-1

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Q: Use the Quotient Rule to find the derivative of the function. h(x) = x2 x + 7 h'(x) =

A: Using , quotient rule of derivatives

Q: Find the derivative of the function. f(x) =  (x3 − 1x2 + 1)/x2   f '(x) =

A: We first simplify the given function

Q: f(x) = 2+6x -x'use the limit definition of derivative t

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Q: FIND THE DERIVATIVE OF THE FUNCTION BY THE LIMIT PROCESS. SHOW YOUR STEP BY STEP SOLUTIONS. 1.…

A: To find the derivative

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: (a) f(x) =x² – 2r

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find f'(x) (the derivative of f(x)) if f(x) = 7x'3 - 2x'2 + 4x - 5.

A: The given function is f(x)=7x3-2x2+4x-5

Q: Using the definition of the derivative, find ƒ′(x) . Then find ƒ′(−2) , ƒ′(0) , and ƒ′(3) when the…

A: Given function: fx=-x2+2x-3 Find the derivative of f(x) The formula for f'(x) is given as…

Q: Find the derivative of the function. g(x) = (1 + 5x)5(4 + x – x²)7 - g'(x)

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Q: Use the Quotient Rule to find the derivative of the function. h(x) = x2 x + 2

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Q: find the derivative of f(x)=((x2+4) / (x2- 4))3

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Q: FIND THE DERIVATIVE OF THE FUNCTION BY THE LIMIT PROCESS. SHOW YOUR STEP BY STEP SOLUTIONS.  1.…

A: Given:  1 fx=72 gx=-33 fx=-10x

Q: Find the derivative of f(x) = -5x-6. Do not include "f'(x) = " in your answer. For example, if your…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Find the derivative of the function using the limit definition of the derivative. f(x) = 3x - 8

A: We have to find the derivative using limit definition of the derivative for the function: fx=3x-8 We…

Q: Find the derivative of the function.

A: Given function is Differentiating both sides with respect to x, by using product rule of…

Q: find the derivative function of f(x)=x³+4x²-5

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Q: Using the definition of the derivative, find ƒ′(x) . Then find ƒ′(−2) , ƒ′(0) , and ƒ′(3)  when the…

A: For a function f(x) its derivative is defined as f'(x)=limh→0f(x+h)-f(x)h. Use the expansion…

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

A: We have to find derivative using definition.

Q: Find the derivative of the function using the definition of a derivative. State the domain of the…

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

Q: Find the derivative of f(x) = x² + 3x – 5 -

A: From the limit definition of derivative, f'(x)=limh→0f(x+h)-f(x)h

Q: Find the derivative of the function. g(x) =  3 x5 +  2 x3 + 6 3   x  g'(x) =

A: Given query is to find the derivative of g(x).

Q: Find the derivative of the function. t(x) = x2 − 8x3  / x

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Q: Use the General Power Rule to find the derivative of the function. g(x) = 4/(6x2 + 5x)9

A: Given that: g(x)=4(6x2+5x)9

Q: Using the limit definition of derivative, find the derivative of the function f (x) = 3x + 5.

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Q: Use the Quotient Rule to find the derivative of the function. 2х — 3 g(x) x - 1 g'(x) = %3D

A: Given that gx=2x-3x2-1

Q: Use the f'(x)=limh->0f(x+h)-f(x)/h  to find the derivative of f(x)=11x2 AT x=1

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Q: f(x) = -2x + 2x – 4, Use the limit definition of the derivative to calculate the derivative of f:…

A: The function f(x)=-2x3+2x-4. We have to find the limit definition of the derivative to calculate the…

Q: Find the derivative of the function. f(x) = 5x3 − 3x2 + x

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Q: find the derivative of g(x) = (x+5)/(5-2X) using the definition of the derivative. must show all…

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Q: use the limit process to find the derivative of f(x) = x^3+4x

A: Given,            fx=x3+4x

Q: Find the derivative of g(x) = 3x2-1/(2x+5) using the Quotient Rule. Simplify your answer, if…

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Q: Find the derivative of the following using the limiting process. f(x)= -4x2 + 5x

A: Given: fx=-4x2+5x

Q: Use the definition of derivative and limit laws to find the derivative of f (x) = 2x^2 + 1.

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Q: Q 6. Find the derivative of (3x2-2x)2 using the product rule and the chain rule.

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Q: Q-3: Use the definition of the derivative to find the derivative of g(x) = x³ – 2x2 +x – 1.

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Use the Quotient Rule to find the derivative of the function. g(x) =  5x − 7 x2 − 1

A: Given a function, we  need to find the derivative using quotient rule.

Q: Find the derivative of the function f(x) 3x2 – 12x by the definition of derivatives f(x + h) – f(x)…

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Q: find the derivative of f(x) = x-3/3x+4 using the limit definition of the derivative. then state the…

A: Given            fx=x-33x+4

Q: Use the chain rule to find the derivative of f(x)=5e^ (−5x^7+3x^6) f'(x)=

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Q: with the limit definition of a derivative find the derivative of g(x) = (x-1)^2 + 1

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: