Question

4. Differentiate the following functions w.r.t. x by using first principle :-
√x​

Answer 1

Answer:

d(√x)/dx=1/2√x

Step-by-step explanation:

x^n=nx^n-1

√x=x^1/2

Now it is in the form of x^n.

So we can use formula of x^n.

d(x^1/2)/dx=1/2×x^1/2-1

=1/2x^-1/2

1/2√x