What is tangent to y=x^{2} when x=2?

Olivia Mcgrath

Olivia Mcgrath

Answered question

2022-02-10

What is tangent to y=x2 when x=2?

Answer & Explanation

Macey Mata

Macey Mata

Beginner2022-02-11Added 13 answers

You start by evaluating the derivative at x=2:
y'(x)=2x
at x=2
y'(2)=4 which represents the SLOPE of the tangent;
then use yy0=m(xx0)
to find the equation of the tangent, where:
x0=2
y0=22=4
m=slope=4
So you get:
y-4=4(x-2)
y=4x-4

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