A rectangle is graphed on the coordinate grid. 10
8+
6+
(3.6)
p
4+
+1.4)
2+
(6.3).
S
(1
+++
8 10X
B
Which represents the equation of the side that is parallel to side s?
y=-x+9
y=-x-3

A rectangle is graphed on the coordinate grid.

10
8+
6+
(3.6)
p
4+
+1.4)
2+
(6.3).
S
(1
+++
8 10X

Solved

Show answers

Ответ:

quoia89

30.05.2021

Mathematics

Step-by-step explanation:

We are given the graph of f and the function:

$h(x)=(x+1)\cdot f(x)$

And we want to find h'(4).

Therefore, we will differentiate both sides:

$\displaystyle h'(x)=\frac{d}{dx}\Big[(x+1)\cdot f(x)\Big]$

Use the product rule:

$\displaystyle h'(x)=\frac{d}{dx}(x+1)f(x)+(x+1)\frac{d}{dx}[f(x)]$

Differentiate:

h'(x)=f(x)+(x+1)f'(x)

Thus:

h'(4)=f(4)+(4+1)f'(4)

For f'(4), this is the derivative of f at x = 4. We can see that the derivative at this point is -2 as it is a line with a slope of -2.

And using the graph, f(4) is 4.

Therefore:

h'(4)=4+(5)(-2)=4-10=-6

The answer is A.

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A rectangle is graphed on the coordinate grid. 10 8+ 6+ (3.6) p 4+ +1.4) 2+ (6.3). S (1 +++ 8 10X B Which represents the equation of the side that is parallel to side s? y=-x+9 y=-x-3