Domain of the Derivative Do f and f  alwayshave the same domain? Explain.

Q: give an example of derivative

A: We have to give an example of derivative

Q: Sction 3.4-The product rule and Quotient rule Find the derivative of the function g(x)= ez 2+ 5x…

A: the given function is: g(x)=ex2+5x we have to find the derivative of the given function.

Q: Use second fundamental theorem of calculus. Find the derivative F'(x) of the function.

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Q: Find the derivative of the function using the definition of derivative. f(x) = ax + n f'(x) = State…

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Q: Describe how you would differentiate a piecewise function. Use your approach to find the first and…

A: We have the function; f(x) = x∣x∣

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g'(s) Need…

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Q: Use a computer algebra system to find the derivative of the function. Then use the utility to graph…

A: Given, y=x+1x2+1 Formula ddxuv=vdudx−udvdxv2 quotient rule of differentiation

Q: Find the derivative of the function using the definition of derivative. f(t) = 5t - 3t2 %3D f'(t) =…

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Q: d da O 2æ · f' (x) O 2a • f' (x) + æ² f' (æ) O 2æf (x)+ æ² f' (x)

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Q: Draw a graph to match the description. Answers will vary. f(x) has a negative derivative over (-∞,…

A: we have to write the function that says that  f(x) has a negative derivative over (-∞,-5) and a…

Q: : numbers in the domain of a function that cause its derivative to be zero or undefined.

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Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

A: We will find the double derivative of f(x)=7/sqrt(x+4)     At (0,7/2)

Q: f(x) = |V Use part I of the Fundamental Theorem of Calculus to find the derivative of f(æ) = |.…

A: Using part 1 of fundamental theorem of calculus.

Q: Draw a graph to match the description. Answers will vary. F(x) has a positive derivative over (-o,…

A: Given that:                    f(x) has a positive derivative over (-∞, 5) and (-5, 4) and a…

Q: INSTRUCTIONS: Differentiate the functions Find the first derivative of the given function.

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Q: Using the definition, calculate the derivatives of the functions inExercise Then find the values of…

A: Givenf(x)=(x-1)2+1 To find derivative of f

Q: Use a computer algebra system to find the derivative of the function. Then use the utility to graph…

A: Given,g(x)=x-1+x+1

Q: 5 real-life mention of a derivative

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Q: handwritten The derivative of the function

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Q: Show your work. Use DEFINITION to find the derivatives of the following functions. Do not use the…

A: step 1 defination of derivativeF'(x) =limh→0 F(x+4)-F(x)h1) F(x) = tan xF (x+h) = tan (x+h)F'(x) =…

Q: Use a computer algebra system to find the derivative of the function. Then use the utility to graph…

A: y=cosπx+1x

Q: Using the definition of a derivative to find the derivative of each function: f(x)=1/(square root…

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Q: Using the Limit Definition of the Derivative determine the derivative of the function below ?(?) = 5…

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Q: Find the derivative of the function using the definition of derivative. f(x) = ax + s f'(x) = State…

A: Given F(x) = ax + s

Q: Use part one of the fundamental theorem of calculus to find the derivative

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Q: Using the definition, calculate the derivatives of the functions inExercise. Then find the values of…

A: The derivative of fx with respect to x is defined as:limh→0fx+h−fxh

Q: Finding derivative of the function f(x) = cx". a Derivative Explain how to find the

A: given,         fx=cxn

Q: th Determine an expression for f(") (x) (the n' derivative of f) if f (x) = x¯' (Hint: take a few…

A: Let's find.

Q: Calculus Determine where the following function is differentiable and find the derivative: f(x) =…

A: The given problem is to check the differentiability of the given function and find the derivative of…

Q: Question Find the derivative of f(x) = (-2x + 3x2) In (x). Provide your answer below: f'(x) = %3D

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Q: Find the derivative of  f(x)=2csc(x).

A: We know that csc(x) can be written as 1/sin(x) To find the derivative, apply the quotient rule

Q: Let f) = 4x2 - 2x. (a) Use the definition of derivative and the Procedure/Example box in this…

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Q: derivative) * =C1e2x + C2e- X + x answer This is a required question ond derivative) * =C1e2x +…

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Q: Derivatives

A: The given function is fx=cos5tan3sin2x5.

Q: Question Given f(x)=√x+8, find f'(-7) using the definition of a derivative. Provide your answer…

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Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. g(x) =…

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Q: P dæ O 교+f(x) 0 2꾜 + f' (z) 2x · f' (x) + x².f(x)

A: using besic derivative rules.Sum ruleddxf(x)+g(x)=f'(x)+g'(x)power ruleddxxn=nxn-1

Q: PLS HELP ME TO EXPLAIN THE QUESTION IN DETIALS -5 -4 -3 -2 -1 -2 -5- Determine the intervals where…

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Q: (a) Explain both mathematically and graphically what makes a function odd or even. b) Use the limit…

A: (a) Suppose fx is a function then mathematically it is said to be odd if  f-x=-fx And graphically, a…

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

A: the given function f(x)=10+x We have to find the derivative of the function using the definition of…

Q: Tutorial Exercise Find the derivative of the function. + 9 arcsin

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Q: (a) Explain both mathematically and graphically what makes a function odd or even. (b) Use the limit…

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Q: Use part one of the fundamental theorem of calculus to find the derivative of the function (The…

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Q: Sketch the curve of f(x), a function whose first derivative has the following properties. You must…

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Q: What do you mean by function .do you think limit of a function leads to find the derivative of a…

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Q: SCA CET9 2 Find the derivative of the function using the definition of derivative. 1 f(x) %3D x2 - 9…

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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: