How do you find the critical points to sketch the graph #f(x)=7+6x-x^2#?

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Answer 1 · 2017-06-12T00:25:11

#x=3#

What you want to do first is find the derivative using the product rule:
Keep in mind that derivative of a constant is zero.

#f'(x)=0+6-2x#

Then rearrange it and set it equal to zero:

#-2x+6=0#

Solve it:

#-2x=-6#

#cancel(-2x)/-2=(-6)/-2#

#x=3#