Acostajohnmichael129idn
Answered

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find the slope and the equation of the tangent line to the curve y=x² + 1 at x= 0
sketch the graph​

Sagot :

OnekPHidn

Answer:

0,y=1

Step-by-step explanation:

dy/dx is the slope

take the direvative

y=x2+1

dy=2x dx if x=0

y' =2(0)

y' =0 (slope) Because the graph is a par abola, the tangent line is a straight line.

If x=0

y=(0)2 +1

y=1

(0,1)

Using

y-y=m(x-x1), where slope of the tangent line is 0

Substitute

y-1=0 (x - 0)

y=1

To graph this, the parabola with vertex at (0,1) and it opens upward