Which of the following pieces of information is sufficient to determine the equation…

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

Problem

Which of the following pieces of information is sufficient to determine the equation of the line tangent to the graph of a differentiable function

y=f(x)

x=a

? (a) Only the value of

f'(a)

(b) Two distinct points on the graph with

x

–coordinates near

a

but not equal to

a

f(a)

and the value

f'(a)

(d) The values of

f'(a)

and

f''(a)