Which of the following expressions gives for a nonzero constant exponent ?

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Which of the following expressions gives

\displaystyle \frac{d}{dx}\bigl(x^{n}\bigr)

for a nonzero constant exponent

n

? (a)

n x^{n}

(b)

x^{n-1}

(c)

n x^{n-1}

(d)

(n-1)x^{n-1}