The derivative of the function f(x)=x is

Question

The derivative of the function f(x)=x is (A) 0 (B) 1 (C) ∞ (D) None of these

Tardigrade Admin · Accepted Answer

It is easy to see that the derivative of the function f(x)=x is the constant function 1. This is because f prime(x)= displaystyle lim h arrow 0 (f(x+h)-f(x)/h)= displaystyle lim h arrow 0 (x+h-x/h)= displaystyle lim h arrow 0 1=1

Q. The derivative of the function $f (x) = x$ is

0

1

$\infty$

None of these

It is easy to see that the derivative of the function $f (x) = x$ is the constant function 1. This is because $f^{'} (x) = h \to 0 lim \frac{f ( x + h ) - f ( x )}{h} = h \to 0 lim \frac{x + h - x}{h} = h \to 0 lim 1 = 1$

Q. The derivative of the function f(x)=x is

0

1

∞

None of these

It is easy to see that the derivative of the function f(x)=x is the constant function 1. This is because f′(x)=h→0lim​hf(x+h)−f(x)​=h→0lim​hx+h−x​=h→0lim​1=1

Q. The derivative of the function $f (x) = x$ is

$\infty$

It is easy to see that the derivative of the function $f (x) = x$ is the constant function 1. This is because $f^{'} (x) = h \to 0 lim \frac{f ( x + h ) - f ( x )}{h} = h \to 0 lim \frac{x + h - x}{h} = h \to 0 lim 1 = 1$