Question

If f(x)=5x, what is f′(x)?

Answer 1

The derivative of the function f(x) = 5x is f'(x) = 5. The derivative of a constant multiplied by \( x \) is the constant itself. In this case, the derivative of
`\( 5x \)` spect to \( x \) is 5.

Step-by-step explanation:

The question asks for the derivative of the function f(x) = 5x. To find the derivative, we can use the power rule, which states that the derivative of x^n is nx^(n-1), where n is a constant. In this case, the constant is 5. So, the derivative of f(x) = 5x is f'(x) = 5.

The derivative of a function
`\( f(x) \)`ect to \( x \), is denoted as
`\( f'(x) \)`
`c{df}{dx} \)` the rate at which the function is changing with respect to
`\( x \).`

For the function
`\( f(x) = 5x \), let's find \( f'(x) \):`

`\[ f'(x) = (d)/(dx)(5x) \]`

The derivative of
`\( 5x \)` spect to
`\( x \)` ply the coefficient of
`\( x \)` is 5.

So,
`\( f'(x) = 5 \).`