2 years ago

Find the derivative of f(x) = -12x2 + 9x at x = 6. a) -112.5 b)-135 c)90 d)108

Mathematics

1 answer:

topjm [15]2 years ago

7 0

f(x) = -12x²+9x

f'(x) = -24x +9

if x = 6 then f'(6) = -24 (6) +9 = -135

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lesya692 [45]

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3 years ago

What are the expressions?

Romashka [77]

<h2>Explanation:</h2>

Here we need to solve some expressions. Remember the following rules:

$(+)(+)=+ \\ \\ (-)(-)=+ \\ \\ (+)(-)=- \\ \\ (-)(+)=-$

Then, from the left side:

$5-2\cdot 7=5-14=\boxed{-9} \\ \\ 5-2\cdot 4=5-8=\boxed{-3} \\ \\ 5-2\cdot 0=5-0=\boxed{5} \\ \\ 5-2\cdot -3=5+6=\boxed{11} \\ \\ 5-2\cdot 10=5-20=\boxed{-15} \\ \\ 5-2\cdot -8=5+16=\boxed{21} \\ \\$

from the right side:

$-(-4)+3=4+3=\boxed{7} \\ \\ -(6)+3=-6+3=\boxed{-3} \\ \\ -(-8)+3=8+3=\boxed{11} \\ \\ -(-5)+3=5+3=\boxed{8} \\ \\ -(2)+3=-2+3=\boxed{1} \\ \\ -(15)+3=-15+3=\boxed{-12} \\ \\ -(-6)+3=6+3=\boxed{9}$