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nlexa [21]
8 months ago
10

Find from first principles the derivative of f:x maps to (x+2)all squared

Mathematics
1 answer:
Alik [6]8 months ago
7 0

Given:

f(x)=(x+2)^2

Required:

To find the first principles

Explanation:

First principle,

\lim_{h\to0}\frac{f(x+h)-f(x)}{h}=\lim_{h\to0}\frac{(x+h+2)^2-(x+2)^2}{h}=\lim_{h\to0}\frac{x^2+(h+2)^2+2x(h+2)-x^2-4-4x}{h}=\lim_{h\to0}\frac{h^2+4+4h+2xh+4x-4-4x}{h}\begin{gathered} =\lim_{h\to0}\frac{h^2+4h+2xh}{h} \\  \\ =\lim_{h\to0}\frac{h(h+4+2x)}{h} \\  \\ =\lim_{h\to0}(h+4+2x) \\ =2x+4 \end{gathered}

Final Answer:

2x+4

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7 0
3 years ago
Can anyone help me with this question
faust18 [17]

Answer:

Step-by-step explanation:

Like your other question, let's break it down systematically

6x + 9y - 9(6x - 3y + 8z)

Use the distributive property

6x + 9y - <u>9(6x - 3y + 8z)</u>

6x + 9y - 54x - 27y + 72z

Match like terms

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6 0
3 years ago
Which statements are true 25 (0)=25, 25(1)=25, 25+0=25, 25+1=25
vazorg [7]
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3 0
2 years ago
Read 2 more answers
Guys i need help lol
Damm [24]

Answer:

<em>x = 17°, m∠ A = 114°</em>

Step-by-step explanation:

We can tell that these pair of angles are corresponding, provided;

Line 1 ║ Line 2, AB ∩ Line 1 and Line 2 ⇒ corresponding ∠s ≅,

m∠ A = m∠ B ⇒ Substitute values of A and B,

6x + 12 = 3x + 63 ⇒ Subtract 3x on either side,

3x + 12 = 63 ⇒ Subtract 12 on either side of equation,

3x = 51 ⇒ Divide either side by 3,

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m∠ A = 6 * ( 17 ) + 12,

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<em>m∠ A = 114</em>

<em>Solution; x = 17°, m∠ A = 114°</em>

7 0
3 years ago
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xeze [42]

Area of the triangle = (1/2)*base*height

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height = altitude = x+6

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(1/2)*x*(x+6) = 108

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(x+18)(x-12)=0

x=-18, or x=12

We can use only positive value, so x=12.

Base =12 cm.


6 0
3 years ago
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