When MUST implicit differentiation be used instead of explicit differentiation which you've been using? Are there ever situations where either explicit or implicit differentiation can be used? What is the difference in which the derivatives look? Include examples

Q: 1. Can the graph of a function have more than one tangent at a given point? Explain by giving an…

A: Query- Can the  graph of a function have more than one tangent? Explain by giving an example and…

Q: 3. what can the derivative be used for? In essence, what are the practical applications of…

A: This is a problem related to practical application of the derivatives. Please find the procedure…

Q: If a function has a finite derivative at a given point , prove that it is continuous at that point .…

A: Let any function f(x) has a finite derivative at any given point say (c) It means…

Q: Implicit differentiation of x^2y^2=4

A: we have to find the implicit differentiation

Q: What is the derivative of a function ƒ? How is its domain related to the domain of ƒ? Give examples.

A: Define the derivative of the function f.

Q: ...... . . *********************** .... ...... ......... Find the slope of the graph of the function…

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Q: (In z) dr and P -(a") = a* In a, dr Also, recall fundamental differentiation formulas or rules, such…

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Q: HOW DO YOU FIND THE DERIVATIVE

A: To differentiate composite functions (function of a function)

Q: Explain how to graph a function given the graph of the derivative function. Note that the answer is…

A: Perhaps the most obvious are the extreme. Because we know that the tangent line is always horizontal…

Q: true or false?  If the second derivative is 0 at a point then the point is an inflection point.

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Q: what is Higher Order Derivatives in your own? brief answers only.

A: Higher order derivative(notation)dnfxdxn  Where n=1,2,3,4,....

Q: We cannot find the derivative of composed functions. We can however, using some algebra, find the…

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: Given that the statement,   If a function has derivatives from both the right and left at a points…

Q: True or false? A function does not have a derivative at x if its left hand derivative is not equal…

A: True or false for the given statement A function does not have a derivative at x if it's left hand…

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: When MUST implicit differentiation be used instead of explicit differentiation which you've been…

A: Explicit Differentiation Implicit Differentiation 1) The formula is y= f(x) . The formula is…

Q: why setting the derivative of a function equal to zero allows us to find the maximum or minimum…

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Q: Can derivatives be used to find tangent lines of functions? If so, how would you do it?…

A: Yes derivatives are also used to find the tangent of the lines.The given function is,

Q: aU: Calculate the derivative of function is not differentiable at an explain in your own words why…

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Q: Use logarithmic differentiation to find the derivative of y=x^√x/√x

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Q: The graph of the function has one relative extreme point. Plot this point and check the concavity…

A: Given - fx = -6 + 2x - x2 To find - The graph of the function has one relative extreme point. Plot…

Q: ACTIVITY 1: Practice ! Apply differentiation rules in finding the derivative of the given functions.…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: Question 9(both parts)

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Q: Ose logarithmic differentiation of an alterativt methind to findthe derivative of the function?

A: We will use logarithmic differentiation to find the derivative of the given function

Q: Derive implicitly—Implicit differentiation. Please show a detailed solution. Also, comprehensive and…

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Q: -10x Given an equation x3 – y3 = 5, show that y" %3D y5

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

A: Consider the given function.

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: 1. On what instance does the Chain Rule of differentiation applicable? Explain briefly. 2. How does…

A: Recall; COMPOSITE FUNCTION:  A Composite function is generally a function that is written inside…

Q: it differentiation

A: Assume that y is a function of x , or y=f(x)y2=f(x)2   ddx(y2)=ddxf(x)2

Q: When does the chain rule for differentiation becomes most appropriate? Justify your findings.

A: Derivative

Q: Let y be defined implicitly by the equation +y 1 Use implicit differentiation to find the first…

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Q: True False The derivative of an odd function is odd

A: Prove that:  The derivative of an odd function is odd

Q: step by step how to use implicit differentiation

A: Differentiate both sides with respect to x…

Q: 1. The graph of function f(x) is given. Sketch the graph of the derivative function f'(x) below the…

A: We will sketch the graph of f'(x) as following. And also the question you asked is answered down…

Q: Find the derivative of f(x) = 2Vx + v2x

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: The graph of a function is shown together with the tangent line at a point P. 2.

A: Given the graph of the function

Q: draw the function and its derivatives. explains why of its derivatives:   y=cosx

A: Given y=cosx

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: d b.formula or rules for differe

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: Module 4: Participation Activity #2 p>Find the second derivative of f (x) = a4e" . f" (x) =

A: Given function is Differentiating with respect to x using product rule of differentiation, we get…

Q: 2. What method of differentiation is used in differentiating functions that are defined implicitly?…

A: IntroductionIn implicit differentiate each side of an equation with two variables by treating one of…