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Asked Apr 5, 2019
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4. Suppose that f(4)-2, g(4)-5, /(4-6, and g'(4)- 3. Find derivative h'(4) in (a)
(a h(x) 3f +8g)
(b) ho)-g)
f(x)
g (x)
g(x)
f)+g)
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Paragraph Styles 4. Suppose that f(4)-2, g(4)-5, /(4-6, and g'(4)- 3. Find derivative h'(4) in (a) (a h(x) 3f +8g) (b) ho)-g) f(x) g (x) g(x) f)+g)

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Expert Answer

Step 1

(a)

 

Differentiate h(x) = 3f (x) +8g (x) with respective to x as .

 

Substitute x = 4 in h’(x) to obtain the value of h’(4).

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Step 2

(b)

 

Differentiate h(x) = f (x) g (x) with respective to x as .

 

Substitute x = 4 in h’(x) to obtain the value of h’(4).

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Step 3

(c)

 

Differentiate h(x) = f (x) / g (x) with respective to ...

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