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

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

A:

Q: derivative of f(x)= 1/(x^2+5) is

A: Given,          fx=1x2+5

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: Find all relative extrema of the function. Use the Second Derivative Test where applicable. f(x) =…

A: We first find f'(x) and f"(x)

Q: find all relative extrema of thefunction. Use the Second Derivative Test whereapplicable.…

A: fx=-x4+2x3+8x

Q: Find a function

A: This is very intresting question because there are so many function on an interval whose first…

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 all relative extrema of the function. Use the Second Derivative Test where applicable. f(x) =…

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Q: The derivative of the function 4= tan'(X+) when X-0:

A: First find the derivative with respect to x than put x= 0 and simplify.

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable.

A: Consider the function, fx=9x-1x+5 To calculate the critical points of the given function, For the…

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. f(x) =…

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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: Double derivative.

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Q: Find the derivative of the function by using the definition. Then determine the values for which the…

A: Find the derivative of the given function

Q: Match the graph of the function with the graph of its derivative.

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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: Find all relative extrema of the function. Use the Second Derivative Test where applicable.

A: The above problem belongs to the calculus part in which the topic is maxima and minima, the given…

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

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Q: Find the relative extrema using first derivative test   f(x)=(x-2)^6

A: Consider the function f(x)=(x-2)^6

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable.

A: Given: f(x)=x+92

Q: Find the derivative of the function using the definition of derivative. f(x) = x4 f'(x) = %3D

A: To find the derivative of the given function using the definition of derivative.

Q: Estimate the derivative of the function f (x) = - – 3 at the point x = 3. 3 3 1/5 1/3

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable.

A: We have to find the relative extrema of the following function- f(x) = 2x + 18x

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable f(x) = x4…

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Q: Find all relative extrema of the function 2x^4 - 8x^3 + 6. Use the Second Derivative Test where…

A: To determine the all relative extrema of the function.

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 derivative of the function. f(x) = ex2 + 5

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Q: Find the slope of the graph of the function at the given point. y = x-1 y 2.0| 1.5 6 7 1.0 0.5 0.5…

A: See the details solution in below

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

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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: Find all relative extrema of the function. Use the Second Derivative Test where applicable. f(x) =…

A: Relative extrema ( Maxima or minima): f(x) is any function. 1) Evaluate f'(x) = 0 for critical…

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. f(x) =…

A: Givenfx=9x−1x+5

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: Find the derivative of the algebraic functions f(x) = x (1-) x+3, : g(x) = x + cotx

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

A: Given :fx=2xx2+1

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

A:

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

A: Consider the function  y=2x4−3 Point  1,−1

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

A:

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: y = x-12; (4,) Use the derivative feature of a graphing utility to confirm your results.

A: We will solve the following

Q: Use the second derivative test to find all relative extrema  f(x)= x+4/x

A: The given function is as - f(x) = x+4xProcedure to find local extremas - 1. Find f'(x)2. Put f'(x) =…

Q: (a) Use the Second Derivative Test to find the local extreme values of the 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…

A:

Q: Calculate the derivative of the function.  f(x) = (x6 − x)6

A: Applying derivative we have

Q: Give some examples of differentiation, linear and non linear in real life situations (preferably in…

A: Differentiation 1)To calculate the profit and loss in business using graphs. 2)To check the…

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

A: Consider the provided function,

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

A: Use the definition of derivative

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

A: We have to find the slope at given point

Q: The derivative of a function is f '(x) = x2(x + 4). At what value(s) of x does f have a horizontal…

A:

Q: What do you look for when you need to match the graph of a function with the graph of its…

A: Observe the behavior of graph as the value of x increases.

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: