all real number powers

[ffuh205]

The power rule for derivatives applies for any and all real number powers.

A. Always false, 100% of the time.

B. Always True, 100% of the time

C. Sometimes true and sometimes not it all depends.

I know C is false, I'm leaning towards B.

 

[pka]

The power rule for derivatives applies for any and all real number powers.

I have no idea that question means.
If r is a real number the power rule for derivatives applies to \(\displaystyle x^r\).
But it does not apply to \(\displaystyle r^x\).

 

[ffuh205]

I was thinking the same thing but that it how the question was worded so thats what I must figure out.

 

[BigGlenntheHeavy]

\(\displaystyle Answer \ is \ B., \ \frac{d[x^n]}{dx} \ = \ nx^{n-1}, \ n, \ any \ real \ number.\)