Question

What is \[\frac{d}{dx}(x^n)\]?

Options

• \[(n-1)x^n\]

• \[nx^n\]

• \[x^{n-1}\]

• \[nx^{n-1}\]

Answer 1

The standard derivative of \[x^n\] is obtained by multiplying by \[n\] and decreasing the exponent by one. Hence, \[\frac{d}{dx}(x^n)=nx^{n-1}\].