Question

Find the linear approximation L(x) of the function f(x)=x6+3x2 at a=−1.

L(x)=A+Bx where A= and B= .

Answer 1

take the derivative
replace \(x\) by \(-1\) that is the slope
then use the point slope formula to find the equation of the line

Answer 2

so m = -12

Answer 3

how do i get the y value

Answer 4

or A in this

Answer 5

you get the y value by finding \(f(-1)\)

Answer 6

oh ok i got it thank you

Answer 7

yw