Two positive numbers have a product of 81. Find the minimum possible value of their sum.(You must use the derivative of a function)

Q: Find the derivative of the function.

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Q: Find the derivative of the function. x² + 2 y = 2 – , - 2 -&x(x² + 2, y' = (2² – 2)4

A: Given: The function is, y=x2+2x2-27. The objective is to find the derivative of the function.

Q: Find the derivative of the algebraic function.

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Q: Find the derivative of the function.

A: y=(7x+3)4

Q: Find the derivative of the function. 21/4 1/2 +1

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Q: How do you find the fifth derivative of a function?

A: To find the derivative we differentiate the function once.  To find the second derivative we…

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: the first and second derivative of  y=x/x2-4

A: Formula used:  If f(x) and g(x) are two differentiable functions,

Q: 2.x4 h(x) = 5x³ + 6 .

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

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Q: Explain why the derivative of a constant function is 0.

A: We have to explain that derivative of a constant function is 0. We know that constant function is…

Q: Graph of derivative of function, f'(x), is given. y= f'(x) 1 5 7 8

A: We know that when f'(x) goes from negative to positive then f(x) will be decreasing and then…

Q: Find the derivative of y = 9" + 2.

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Q: Find the absolute extrema of the function f(x) = (x +9) 2/3 on the interval [-5,1]. Find the second…

A: To find absolute extremum of given function:

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: Example 2: Use the definition to find the derivative of the function Solution:

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Q: Find the derivative of the function. 2 + 2

A: To find the derivative of the function, y=rr2+2

Q: Find derivative of y= x(3x-1)5

A: Use the product rule to differentiate the given function with respect to x…

Q: erivative

A: We have to write the derivative of  y=15(16x)

Q: Using the definition, calculate the derivative of the function = 2t3.

A: The given function is: s=2t3

Q: Find and evaulate the derivative of the function at the given point. The point is (0,-2)

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Q: Find the derivative of the function. 2 x* + 2 .2 y 2 y' =

A: y = x2+2x2-25we know:ddx xn = nx(n-1)ddx f(g(x)) = f'(g(x)) . g'(x)

Q: Find the absolute extrema of the function f(x) =x* - 32x + 256 on the interval [- 5,5]. Find the…

A: To find: The absolute extremum of the given function

Q: 4 – x2 3 – Vx2 +5

A: We need to find the 1st, 2nd, and 3rd derivative of the above expression.   4-x23-x2+5'…

Q: Find the function with the given derivative whose graph passes through the point P. f'(x) = 2x - 5,…

A: Given  f'(x) = 2x-5

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Given: f'(x)=-2x8-x2,    2,7 Integrate the given function to obtain the function f(x). The formula…

Q: Find the second derivative of the function. 1+20 (2-0) 20

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Q: Find the derivative of the function. F(x)=x^3-6/x^2+5

A: GivenFx=x3-6x2+5We have to find the derivative of the function .Rule apply :-Quotient rule…

Q: Use the First Derivative Test to find the local maximum and minimum values of the function. (Enter…

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Q: Calculate the derivative of the function y=(2−x3)(13+x2).

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Q: Find the first derivative of each function. You don't need to simplify. a) y =-3(2x* +4x³ – x)$

A: Differentiate the given function with respect to x as below to find the derivative and use chain…

Q: Find the derivative of the function. f(x) = 5x4 - x6 f'(x) = %3D

A: The given function is                                   f(x)=5x4-x6 Now we find the derivative of…

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: f'(x)=-2x8-x2;(2,8)

Q: Given the function y = 2x³ - 4x² + 5, find its derivative.

A: Topic = Derivative

Q: Find the derivative of the function. y = In(xvx' - 5) y' = Submit Answer

A: Solve by derivative

Q: Find the value of the derivative of the function at the given point. f(x) = 2x2 - 3x; (- 1,5)…

A: The function is given by fx = 2x2-3x To evaluate : The value of the derivative of the function at…

Q: Find the derivative of the function. (x) = (2x – 6)ª(x² + x + 1)5 %3D f'(x) = Need Help? Watch It

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Q: 5x – 2 Find the second derivative of f(x) =x3/2 -1/4,

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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: f (x) = - 4x² - 6x x²+3

A: The given function is f(x)=4x2-6xx2+3. Find the derivative of the function. Here we use the…

Q: f(x)%3D (6- x²)3 — х? %3D

A: DIFFERENTIATION OR DERIVATIVE The differentiation is a process of finding the rate of change of one…

Q: SK A. ACTIVITY: Solve for the derivative of the following, show your solution 1. f(x) = 2x3- 7x + 1…

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Q: Find the absolute extrema of the function f(x) = - x* + 50x2 - 625 on the interval [- 6,6]. Find the…

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Q: Given function: y = x* – 4x³ + 2

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Q: Find the derivative of y =x°+x°. -3+5 Give your answer with positive exponents.

A: Given function :

Q: Help finding the derivative.   y=(x^-2+x)^-3

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Q: Find the derivative of the function. 12 X %3D

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Q: In the first derivative of a function is a constant then the function is LINEAR. A True B) False

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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.