CB.Calc.CHA-3.F: Approximate a value on a curve using the equation of a tangent line.

Approximate a value on a curve using the equation of a tangent line.

Example Problems

The local linear approximation to the function

p

at

x = 4

is

y = 2.5x - 3

.
What is the value of

p(4) + p'(4)

?

The local linear approximation to the function

h

at

x = -4

is

y = -4x - 1

.
What is the value of

h(-4) + h'(-4)

?

The local linear approximation to the function

q

at

x = -6

is

y = -8x + 5

.
What is the value of

q(-6) + q'(-6)

?

1-on-1 AI tutoring aligned to CB.Calc.CHA-3.F. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.