Derivative

[nimble rapids]

Hi! I need help with task 5.26 which says “About the function f we know that the derivative function f’(x) is given by:
f’(x)= -x^2+8x-15”
I have done a and b where I discussed the monotonicity properties of the function f (task a), as well as I determined whether the stationary points are top or bottom (task b).
THIS IS WHAT I NEED HELP WITH:
Now I need help with task c which says “The graph of f passes through the point (6,0). Find the equation for the tangent through this point”. How do I do that? Do I have to find the equation of f first? Thanks for help!

[native thicket]

1. Wait patiently for a helper to come along.
2. Once someone helps you, say thank you and close the thread with:

+close

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[spiral bay]

you need the slope of the line and the point it passes through

you're given the point explicitly, what tells you about slopes of tangent lines?

[nimble rapids]

yes you are right

I think I managed the task?

For c

@spiral bay

[spiral bay]

dont spam ping

[nimble rapids]

oh sorry

[spiral bay]

but yes, you computed f'(6), which is the slope of the tangent to f at x=6

again, dont spam ping..

3 pings in a minute is absurd.

[nimble rapids]

what do you mean by pings?

I just showed my work…

[spiral bay]

replying pings...

[nimble rapids]

oh sorry well I didn’t know, but thank you

+close