Master The Power Rule Of Differentiation: Derivative Of 3X^2 Simplified To 6X

I would use the power rule for 3x^2

1

The power rule of differentiation states that the derivative of a function raised to the power n is equal to the product of its power and the derivative of the function itself. Mathematically, we can express it as follows:

d/dx [f(x)^n] = n*f(x)^(n-1)*f'(x)

Here, f(x) represents the function being differentiated and f'(x) represents its derivative.

Now, to find the derivative of 3x^2, we can apply the power rule as follows:

d/dx [3x^2] = 2*3*x^(2-1) = 6x

Therefore, the derivative of 3x^2 with respect to x is 6x.

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