For the following equation, evaluate f^(')(3). f(x)=-5x+1 Answer:

Find Derivative: To find f^(')(3), we first need to determine the derivative of the function f(x) = -5x + 1. The derivative of a function gives us the rate at which the function's value changes at any given point.Derivative of Linear Function: The function f(x) = -5x + 1 is a linear function, and the derivative of a linear function is simply the coefficient of x. Therefore, the derivative f^(')(x) is -5.Calculate f^(')(3): Since the derivative f^(')(x) is constant and equal to -5 for all x, the value of f^(')(3) is also -5. There is no need to substitute x = 3 into the derivative because it does not depend on x.

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For the following equation, evaluate
f^(')(3).

f(x)=-5x+1
Answer:

For the following equation, evaluate $f^{\prime}(3)$ . $\newline$ $f(x)=-5 x+1$ $\newline$ Answer:

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Q. For the following equation, evaluate

f^{\prime}(3)

\newline

f(x)=-5 x+1

\newline

Answer:

Find Derivative: To find $f'(3)$ , we first need to determine the derivative of the function $f(x) = -5x + 1$ . The derivative of a function gives us the rate at which the function's value changes at any given point.
Derivative of Linear Function: The function $f(x) = -5x + 1$ is a linear function, and the derivative of a linear function is simply the coefficient of $x$ . Therefore, the derivative $f^{\prime}(x)$ is $-5$ .
Calculate $f'(3)$ : Since the derivative $f'(x)$ is constant and equal to $-5$ for all $x$ , the value of $f'(3)$ is also $-5$ . There is no need to substitute $x = 3$ into the derivative because it does not depend on $x$ .