I need help with this please!!

Mathematics

1 answer:

astraxan [27]2 years ago

3 0

Answer:

-4

It would be -4 because the midpoint of a line is the point thats right in the middle.

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$\bf g'(x)=\stackrel{product~rule}{2x\cdot f(x)+x^2\cdot f'(x)}\quad 
\begin{cases}
x=5\\
f(5)=5\\
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\end{cases}
\\\\\\
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-------------------------------\\\\
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b)

$\bf h'(x)=\stackrel{quotient~rule}{\cfrac{f'(x)(x-6)~~-~~f(x)\cdot 1}{(x-6)^2}}\quad 
\begin{cases}
x=5\\
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f'(5)=5
\end{cases}
\\\\\\
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-------------------------------\\\\$

$\bf h(5)=\cfrac{f(5)}{5-6}\implies h(5)=\cfrac{5}{-1}\implies h(5)=-5
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\quad 
\begin{cases}
x=5\\
y=-5\\
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\\\\\\
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I did the math and that’s what I got so I hope it helped!

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