The cost of producing x ounces of gold from a new gold mine is C − f (x) dollars. (a)  What is the meaning of the derivative f'(x)? What are its units? (b)  What does the statement f'(800) = 17 mean? (c)  Do you think the values of f'(x) will increase or decrease in the short term? What about the long term? Explain.

Q: d 3) (2a)* = (Derivative of an exponential %3D function)

A:

Q: true or false? the second derivative of a quadratic function is twice the leading coefficient.

A: Given: Quadratic equation is given:

Q: Find the second derivative of f(x) = 2x+1/x-4

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Q: y = ª+2 (x+ 2)

A:

Q: ln(x+(x2 −16)^(1/2)) Find the domain and the derivative of the function.

A: Given, function is

Q: Use the definition of the derivative to find f'(x) for the following function. Include all of your…

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Q: Find the derivative of y = ÷+; x2

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Q: 6. f(x) = 3-*e*

A: given: f(x)=3-xex

Q: If f is the function whose graph is shown, let h(x) = f(f(x)) and g(x) = f(x²). Use the graph of f…

A: Given:   Given: hx =ffx  , gx =fx2 To find : h'2 , g'2

Q: 3x' +2Vx For the function F(x)= find the first derivative and simplify.

A:

Q: using the definition of derivative to find f'(x) for the function:f(x)=4/x. How do I solve this?

A: Given problem is to find the derivative of f(x) = 4/x

Q: Find the derivative of the algebraic functions 6. f(x) = x (1-) x+3, 7. g(x) = x+ cotx Find the…

A: the given functions,6. fx=x1-4x+37. g(x)=x+cot x8. fx=4x32

Q: How do you find the derivative of f(x) = 5 - |x-5| ?

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Q: 1. (#11 Exam 1 Review) Find the equation of the line tangent to the graph of the function: f(x) =…

A: Part (1): Given information  Function: fx = x-2x2, Find the equation of the line tangent of the…

Q: If 2x² + y² = 19 then evaluate when z = when = 3 and y = 1. (Answer accurate to two decimal places.)

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Q: 1 EX-1- Find the derivative of the function : f(x)= /2x+3

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Q: f(x) = log,(x² – x + 3)

A: Given: f(x)=log4(x2−x+3)

Q: A point P is moving along the curve whose equation is f(x) 6le 2x+3 . By using second derivative for…

A: The equation of the curve is as follows: fx=6e2x+3 The values for x and fx with step size of h=0.05.…

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…