What is the rule for calculating the derivative of a composition of two differentiable functions? How is such a derivative evaluated? Give examples.

Q: The concavity of a function is described by its second derivative third derivative O first…

A: which option -

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: What is an instance where a function doesn’t have the same domain as its derivative? Give an example…

A: The domain of a function f(x) is the set of all the x-values for which the given function is…

Q: What derivative tests are available for determining the local extreme values of a function ƒ(x, y)?…

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Q: By using the definition of derivative find the derivative of f(x)=x^2

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Q: 1/x using the definition o

A: we have to find the derivative of f(x) using the first principal. f(x)=x+1x

Q: Differentiate the functions. Find the derivative of y with respect to x. Use the given relation…

A: Given : Function y = x3 + 12   To find : Derivative of the given function dydx?

Q: Find the derivative of 1 f(x) || 1+ Vx using the definition of derivative. State the domain of the…

A: We have to find the derivative of the given function by using the definition of derivative.

Q: Find the value of the derivative of the function at the given point. 2 f(x) = 3x² − 4x; ( − 1,7) -…

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Q: derivative

A: We will find the derivative.

Q: Using either limit definition of a derivative at a point, determine the equation of the tangent line…

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Q: Definition: "The second derivative of a function f with respect to the variable x evaluated at x = a…

A: Since the second derivative of a function f is the derivative of the derivative of function f.

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

A:

Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

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

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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: HOW DO YOU FIND THE DERIVATIVE

A: Given an equation of y in terms of x as shown below.Here we need to find the derivative of y with…

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

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Q: second derivative of f (x) =e**?

A: Given that: f(x)=ex2

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

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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: Using the definition of derivative, find the derivative of f(x)= /3-x

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Q: a, b, and I are differentiable functions of the same variable what is the derivative of H ac b +…

A: To find the derivative of acb, here a,b and c are differentiable function of same variable. Let a,b…

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

A: The function is F(x)= 2/x2 And the point is (1, 2)

Q: Calculate the derivative of f(x) = x^(1/ln(x)). What can be said about f(x) based on its derivative…

A: Consider the function,

Q: Find and classify the relative extrema of the function, if they exist. You MUST use the…

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Q: Is the function above differentiable everywhere? Explain using derivatives.

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

A: Given function is fx=1x+4. Compute the first derivative. f'x=1x+4'=-12x+432

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

A: Consider the given function.

Q: The concavity of a function is described by its first derivative expression second derivative third…

A: A function's behavior like whether the function is increasing or decreasing, whether the function is…

Q: What is the derivative of f(x) = tan-(x)? %3D

A: We can solve this as follows:

Q: Is there anything special about the derivative of an even differentiable function of x? Give reasons…

A: The derivative of an even differentiable function is odd.

Q: 5. What is the definition of the derivative of a function f(x) ?

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Q: How do you find the derivative of f(x)= sec(x)tan(x)?

A: Some properties of derivatives:Following are some of general derivatives and derivatives of…

Q: Is there anything special about the derivative of an odd differentiable function of x? Give reasons…

A: First of all, assume the function f (x).Then use the property of odd function to find f (x).

Q: find the derivative of the function f(x) = x2 what is f'(3)? what is the equation of the line…

A: Given function is f(x)=x2

Q: Since you know how to find the derivative of a product of two functions, use the idea of…

A: The objective is to use the idea of associativity to find the derivative of the product of three…

Q: Find the derivative of the function f(x)=1/x using limit definition derivative

A: According to the given information it is required to calculate the derivative of the function using…

Q: How do you find the derivative of the quotient of two functionsthat are differentiable at a point?

A: Given: Let f and g be two differentiable function at point x.

Q: Find and classify the relative extrema of the function, if they exist. You MUST use the…

A: Given :fx=2xx2+1

Q: Using terms like "secant line" and "tangent line", explain how evaluating f(3+ h) – f(3) lim gives…

A: This is a problem related to derivation of the general formula of differentiation.

Q: derivative of function y=\sqrt[5]{x^4} is

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Q: How do you find the derivative of the product of two functionsthat are differentiable at a point?

A: Consider the two functions f(x) and g(x). f(x)·g(x)'=f'(x)g(x)+g'(x)f(x). Here f(x)·g(x)' represents…

Q: 4. When finding the derivative of a fraction you have to use the Quotient Rule. 5. The derivative of…

A: 4. when finding the derivative of a fraction you have to use the quotient rule.5. The derivative of…

Q: f(x)=sinxcosx

A:

Q: Find the derivative of f(x) = 3/x at x = 3 by using the definition of derivative. Note that you will…

A: Given,f(x) = 3x at x = 3

Q: what is the basic concept of a derivative? How is this derivative calculated? What techniques/rules…

A: Use the definition of derivative

Q: State the notation/symbol for: derivative of y with respect to x derivative of f(x) second…

A: Since you have asked multiple questions in a single request, we would be answering only the first…