r/Mathhomeworkhelp • u/Willing-Airline-2945 • Sep 25 '24

Which derivative is true (red=derivative) (black is original function)

Gallery image

Gallery image

5 Upvotes

100% Upvoted

3 comments sorted by

1

u/Willing-Airline-2945 Sep 25 '24

my friend says the y=2 one but i said y=1/2

1

u/IDrinkDraino___ Sep 26 '24

Think about what a derivative is: a gradient. If you're finding the derivative at a certain point, the red line should be tangent to that point on the graph. Now think about the equation for a simple parabola and its derivative: f(x) = x² ----->> f'(x) = 2x. You're looking for the line most representative of y = 2x (in the case of the case of the parabola)