How do you find the slope and equation of the

Neil Wiley

Neil Wiley

Answered question

2022-02-11

How do you find the slope and equation of the tangent line to the curve y=92x2 at the point (2,1)?

Answer & Explanation

ithangesf4

ithangesf4

Beginner2022-02-12Added 16 answers

Explanation:
Given -
y=92x2
Its first derivative gives the slope of the curve st any given point.
dydx=4x
The tangent passes through the point (2, 1)
At x = 2 ; the slope of the given curve is
m=-4 * (2)=-8
Slope of the tangent is the same as slope of the curve at point (2,1)
Equation of the line -
yy1=m(xx1)
y-1=-8(x-2)
y-1=-8x+16
y=-8x+17

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?