For the function

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

Problem

For the function

p(x)=x^{n}

, where

n>0

, the tangent line at the point

(1,1)

intersects the

x

–axis at

(a,0)

. Which expression gives the value of

a

in terms of

n

? (a)

1+\dfrac1n

(b)

n-1

(c)

1-\dfrac1n

(d)

1-\dfrac{1}{n-1}