Question

please give me correct answer​

Answer 1

Answer:

Here is your answer

Explanation:

Proof of (d/dx) x^n : from (d/dx) e^(n ln x)

Given: (d/dx) e^x = e^x; (d/dx) ln(x) = 1/x; Chain Rule.

Solve:

(d/dx) x^n = (d/dx) e^(n ln x)

= (d/du) e^u (d/dx) (n ln x) (Set u = n ln x)

= [e^(n ln x)] [n/x] = x^n n/x = n x^(n-1)

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