Find the slope of the tan line to the graph

Jean Blumer

Jean Blumer

Answered question

2021-12-10

Find the slope of the tan line to the graph of the function
h(t)=t2+3 at (2;7)

Answer & Explanation

Bob Huerta

Bob Huerta

Beginner2021-12-11Added 41 answers

h(t)=t2+3
y=t2+3
dydx=2t
Slope at the curve exactly at x=2 is
dydx=2(2)=4
THe tangent is passing through the point (2;7)
m=4
x=2
y=7
mx+c=y
(4)(2)+c=7
8+c=7
c=78=1
y=4x1 - the equation of the tangent

Beverly Smith

Beverly Smith

Beginner2021-12-12Added 42 answers

Thank you for the answer

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