What is sign analysis of first derivative?. When a function is said to be increasing, decreasing using sign analysis?

Q: Explain how the first derivative of a function determines where the function is increasing and…

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Q: 2. how does the knowledge of differentiability and continuity determine the derivative of functions?

A: A function is said to be differentiable if the derivative of a function exists at all points. The…

Q: What is the derivative of this graph?

A: If you see graph interval (-6,-3)                              this line passes through (-4,-2) and…

Q: What is the geometric interpretgtron of the derivative f'(a)?

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Q: Find the derivative of the function using the definition of derivative.

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Q: How is this derivative found?

A: Given expression

Q: Explain in words how to evaluate the derivative of function?

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Q: How to use a graph of a derivative to determine the parent function.

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Q: On which derivative rule is the Substitution Rule based?

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Q: What is the 28th derivative of sinx?

A: Option D is correct

Q: Use the graph of the function to sketch the graph of the derivative. (on the same grid is fine)

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Q: Find the derivative of the function. |(7 - 0)

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Q: Explain how to graph the derivative of a function given the graph of the function.

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: The slope of the graph of the inverse tangent function is positive for all x. True or false?

A: Given: The slope of the graph of the inverse tangent function is positive for all x.

Q: What information about a graph can be found from the second derivative?

A: What information about a graph can be found from the second derivative?

Q: Suppose that the function y in the Derivative Product Rule has a constant value c. What does the…

A: Derivative product rule:The derivative product rule for the functions x and y is given by,

Q: Define a Derivative of Logarithmic Functions?

A: To define a Derivative of Logarithmic Functions.

Q: What is the second derivative of: -(4-x^2)^1/2

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Q: 3. Sketch the graph of the derivative of the function below.

A: A rough graph can be plotted as values are not given in the given graph.

Q: Which rule(s) are used to find the derivative?

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Q: What is the derivative of the following function?

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Q: Use logarithmic diffenentiation on an alterative method to findthe derivative of the function?

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Q: n of Calculus to find the derivative of the

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Q: Write the intervals (within the practical domain) when the first derivative is increasing and…

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

Q: Solve for the derivative of the function using chain rule. 9. f(x)= esinx *please explain step by…

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Q: Discuss the solution on how to get the derivative of the function

A: This question is related to differentiation, We will solve it using given information.

Q: Sketch the graph of derivative of given functions.

A: Given graph of function is,

Q: calculate the 21st derivative of function f(x) = 20-x

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Q: Estimate the derivative of the function f (x) = -3 at the point a = 3. %3D

A: Here given as fx=x3-3 Differentiate with respect to x f'x=ddxx3-3=ddxx3-ddx3=13

Q: If f(x) = x³ + find f"(-1).

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: What is a higher-order derivative?

A: We create, or derive, a new function f'(x) from a function f(x) called as derivative of function…

Q: What is the value of the second derivative y" at the point (4,3)

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Q: Use the first derivative test and the second derivative test to determine where each function is…

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Q: How to solve for the second derivative?

A: The objective is to solve for the second derivative. Consider a function fx=3x4

Q: How do you use the second derivative test to analyze concavity of a function?

A: We know that, If the second derivative of the function f(x) is defined on an interval (a,b) and…

Q: What are the formulas for differentiation or derivative? When and how to apply those forhmulas?

A: Explanation: General formula of differentiation Power rule: ddx(xn)=nxn-1 Derivative of a constant…

Q: Estimate the derivative of the function f (x) = - 3 at the point x = 3. 5 5

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Q: Find the derivative of the function. f(x) = /5 +x sec x [5+x secx

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Q: 4. f(x)=

A: The given function is: fx=5x2x+3   As we know that; The Power Law: ddxxn=nxn-1 The Quotient rule:…

Q: Sketch a graph of a function whose derivative is always negative. Explain how you found the answer.

A: Sketch a graph of a function whose derivative is always negative. Explain how you found the answer.

Q: What is the inverse process of determining a function whose derivative is known?

A: The inverse process of determining a function whose derivative is known is called

Q: Draw the graph with the first derivative

A: Draw the graph with the first derivative

Q: 1/3 for

A: Answer

Q: Solve using applications of the derivative

A: Given problem is :

Q: h (x)= 3

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Q: Sketch the derivative of the function whose graph is below.

A: We have to sketch the derivative of the function whose graph is given .

Q: Estimate the derivative of the function f (x) =: -3 at the point a = 3.

A: The function is given by fx=x3-3 differentiate the above function w.r.t "x" f'x=ddxx3-3…

Q: Find the derivative of the function at Po in the direction of A. txу) - - ху + у, Р,(10, - 2),…

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