10/root 36x use derivates by rule

Answer 1

To solve 10√(root) 36x using derivatives, we first need to simplify the expression.

The square root of 36x can be written as (36x)^(1/2).

Now, we can apply the power rule and the chain rule.

Let f(x) = (36x)^(1/2)

Using the power rule, we differentiate f(x) with respect to x:

f'(x) = (1/2)(36x)^(-1/2) * 36

f'(x) = 18(36x)^(-1/2)

So, the derivative of 10√(root) 36x with respect to x is 18(36x)^(-1/2).