why the derivative of a constant function like f(x)=3 is always 0

Q: 1. Find the domain and derivative for the function f(x) = 327

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Q: 4 Find the derivative ofƒ(x) = 4ex - 3x2

A: Differentiate both sides with respect to x.

Q: Write down the equation of any function g(x) for which the derivative does not exist at x =2.

A: Topic = Derivative

Q: Given the function, find the derivative f (x) = -()" 3z 4 3z- 3 12() 3z-4 O None of the Above

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Q: If f(x) - g(x) = 1, then f and g have the same derivative. O True O False

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Q: x+D メD

A: To Determine: we have a function then find the derivative Given: we have a function Z(x)=Hxx-D2+x2…

Q: Find the derivative of f(x)= √8-x

A: We can solve using chain rule of derivative in order to solve the given problem.

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

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Q: #1 Find the second derivative of each function 4x+2 a. a. f(x) Зх-6

A: First calculate 1st derivative of f(x) and g(t). Apply  d/dx of (u/v) in problem a. and chain rule…

Q: Q3\ Find the derivative of the following f(x) = %3D x-1

A: Derivative.

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

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Q: 2. Find the slope of the graph of the function f(x) = 9x² - 4x5 at x = -1. Show your work using the…

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Q: Let f be a function. Explain, using any method , as to why f(x) and f(x) + 2 have the same…

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Q: Q2/ Find the derivative of the function f(x) = V3x +1 by definition %3D

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Q: How do you find the derivative of the sum of two functionsƒ + g?

A: we have to determine how to determine the derivative of the sum of two functions that is f+g.

Q: The second derivative of a function is equal to 1. If the graph of the function passes through (0,2)…

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Q: Example 4:- By using the four steps rule, find the derivative of the function f(x) = Vx + 2

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Q: Find the derivative of the following equation x+3 x-4 (a-4)° 2x (x-4)² 7 (x-4) 2x-1 (x–4)°

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Q: Construct a problem where the derivative of a point on a graph is equal to 1. It cannot be a linear…

A: To construct a problem where the derivative of a point on a graph is equal to 1.

Q: How can the derivative function definition be applied to this problem?

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Q: What is the derivative of f(x)= -3

A: Given f(x) = - 3