To differentiate d[ax^2]/dx, we need to use the power rule of differentiation which states that the derivative of x^n with respect to x is nx^(n-1). Therefore, applying this rule, we can rewrite d[ax^2]/dx as:
d/dx(ax^2) = a d/dx(x^2)
Now, using the power rule, we get:
d/dx(ax^2) = a(2x)
So, the derivative of d[ax^2]/dx is 2ax.
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