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Sergeeva-Olga [200]
3 years ago
15

WILL GIVE BRAINLEST Slove f(-4) if f(x) = -4x -2 Give Step by Step pls.

Mathematics
2 answers:
FrozenT [24]3 years ago
8 0

Answer:

14

Step-by-step explanation:

f(-4)= -4x(-4) - 2

= 16 - 2

= 14

answer

lukranit [14]3 years ago
3 0

Answer:

Use the given functions to set up and simplify f(−4).

14

Step-by-step explanation:

Plug x + h into the function f and simplify to find f(x + h). Now that you have f(x + h), find f(x + h) - f(x) by plugging in f(x + h) and f(x) and simplifying. Plug your result from step 2 in for the numerator in the difference quotient and simplify.

https://study.com/academy/lesson/how-to-solve-the-difference-quotient.html

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Answer the following questions about the function whose derivative is f primef′​(x)equals=x Superscript negative three fifths Ba
Elden [556K]

Answer:

(a) The critical points of f are x=0 and x=3.

(b)f is decreasing on (0,3) and f is decreasing on (3,\infty).

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Step-by-step explanation:

Given function is

f'(x)= x^{-\frac35}(x-3)

(a)

To find the critical point set f'(x)=0

\therefore  x^{-\frac35}(x-3)=0

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The critical points of f are 0,3.

(b)

The interval are (0,3) and (3,\infty).

To find the increasing or decreasing, taking two points one point from the interval (0,3) and another point (3,\infty).

Assume 1 and 4.

Now f'(1)=(1)^{-\frac35}(1-3)

and f'(4)=(4)^{-\frac35}(4-3)>0

Since 1∈(0,3) , f'(x)<0  and 4∈(3,\infty) , f'(x)>0

∴f is decreasing on (0,3) and f is decreasing on (3,\infty).

(c)

f'(x)= x^{-\frac35}(x-3)

Differentiating with respect to x

f''(x)=-\frac35x^{-\frac 85}(x-3)+x^{-\frac35}

Now

f''(0)=-\frac35(0)^{-\frac 85}(0-3)+(0)^{-\frac35}=0

and

f''(3)=-\frac35(3)^{-\frac 85}(3-3)+3^{-\frac35}

        =0.517>0

Since f''(x)>0 at x=3

Therefore the local minimum of f is at x=3

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Step-by-step explanation:

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