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Evgen [1.6K]
3 years ago
7

PLEASE HELP, WILL GIVE THANKS AND STARS

Mathematics
2 answers:
Karolina [17]3 years ago
5 0
I think the answer is B. but I'm not sure... Sorry if this doesn't help!
fenix001 [56]3 years ago
4 0
I am pretty sure your answer is b

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Use f’( x ) = lim With h ---> 0 [f( x + h ) - f ( x )]/h to find the derivative at x for the given function. 5-x²
beks73 [17]
<h2>Answer:</h2>

The derivative of the function f(x) is:

                 f'(x)=-2x

<h2>Step-by-step explanation:</h2>

We are given a function f(x) as:

f(x)=5-x^2

We have:

f(x+h)=5-(x+h)^2\\\\i.e.\\\\f(x+h)=5-(x^2+h^2+2xh)

( Since,

(a+b)^2=a^2+b^2+2ab )

Hence, we get:

f(x+h)=5-x^2-h^2-2xh

Also, by using the definition of f'(x) i.e.

f'(x)= \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}

Hence, on putting the value in the formula:

f'(x)= \lim_{h \to 0} \dfrac{5-x^2-h^2-2xh-(5-x^2)}{h}\\\\\\f'(x)=\lim_{h \to 0} \dfrac{5-x^2-h^2-2xh-5+x^2}{h}\\\\i.e.\\\\f'(x)=\lim_{h \to 0} \dfrac{-h^2-2xh}{h}\\\\f'(x)=\lim_{h \to 0} \dfrac{-h^2}{h}+\dfrac{-2xh}{h}\\\\f'(x)=\lim_{h \to 0} -h-2x\\\\i.e.\ on\ putting\ the\ limit\ we\ obtain:\\\\f'(x)=-2x

      Hence, the derivative of the function f(x) is:

          f'(x)=-2x

3 0
3 years ago
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Jeff earns $8 per hour. He gets a raise of 3.5%. How much is his raise?
V125BC [204]

Answer:

3.5/100*8=.28

Step-by-step explanation:

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2 years ago
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Answer:

X= -5/3 Y= 10/3

Let me know if you need the work to be shown

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Tell whether the given value is a solution of the inequality.<br><br> x − 2 ≥ −1.6 ; x = 0.8
Finger [1]

Answer:

No, it' snot a solution

Step-by-step explanation:

x − 2 ≥ −1.6

x - 2 + 2 ≥ -1.6 + 2

x ≥ 0.4

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3 years ago
PLZZ HELP ASAPA :( ILL MAKE U BRAINLIST :)
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Answer:

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Step-by-step explanation:

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