Question

What is the slope of the tangent line passing through the point (2, 3) of the graph of this function?
f(x) = x2 + 2x − 5

1

2

3

4

6

Answer 1

hint:
we have to compute the first derivative of f(x) at point x=2

Answer 2

f(x) =3

Answer 3

no, we have to compute the first derivative of f(x):
\[f'\left( x \right) = ...?\]

Answer 4

hint:
the first derivative of x^ is 2*x
and the first derivative of x, is 1

Answer 5

oops..x^2

Answer 6

x^ is x^2?

Answer 7

yes!

Answer 8

so the first derivative of f(x), is equal to
the first derivative of x^2 plus the first derivative of 2x
please note that the first derivative of -5 is zero

Answer 9

so its 1

Answer 10

the first derivative of f(x), is:
f ' (x)=2x+2
so, what is f ' (2)=...?

Answer 11

f ' (2) = 2*2+2=...?

Answer 12

6

Answer 13

that's right!

Answer 14

ok I had got 6 but I was second guessing got confused

Answer 15

thanks

Answer 16

thanks!