Question

If f(x)=x-5 then, f'(5) is equal to
Options: 0 or 1 or 5 or infinity

Answer 1

Explanation:

f(x)=x-5

f'(x) =1-0

f'(x) =1

then

f'(5)=1 is answer

Answer 2

Answer:

value of f'(x) is 1.

Given:

f(x) = x-5

To Find:

Find the value of f'(5)

Explanation:

Given function is f(x) = x-5

now we have to find the derivative of f(x)  = x-5 to get the value of f'(x), we have to differentiate the function.

Derivative of function:

the rate of change of a function with respect to a variable. Derivatives are fundamental to the solution of problems in calculus and differential equations.

f'(x) = d/dx(x-1)

=d/dx(x) - d/dx(1)

=1 - 0

= 1

f'(x) = 1

So the value of f'(x) is constant , so the value of f'(x) will remain same irrespective of the value of x so the value of f'(x) is always 1. So the value of f'(5) will also be 1 .

Hence the value of f'(5) is 1.