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gizmo_the_mogwai [7]
3 years ago
14

I will give brainiest to whoever answers correctly !!

Mathematics
1 answer:
hichkok12 [17]3 years ago
5 0
Answer: The interest is $6384
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Find the derivative of the function f(x) = (x3 - 2x + 1)(x – 3) using the product rule.
julsineya [31]

Answer:

Step-by-step explanation:

Hello, first, let's use the product rule.

Derivative of uv is u'v + u v', so it gives:

f(x)=(x^3-2x+1)(x-3)=u(x) \cdot v(x)\\\\f'(x)=u'(x)v(x)+u(x)v'(x)\\\\ \text{ **** } u(x)=x^3-2x+1 \ \ \ so \ \ \ u'(x)=3x^2-2\\\\\text{ **** } v(x)=x-3 \ \ \ so \ \ \ v'(x)=1\\\\f'(x)=(3x^2-2)(x-3)+(x^3-2x+1)(1)\\\\f'(x)=3x^3-9x^2-2x+6 + x^3-2x+1\\\\\boxed{f'(x)=4x^3-9x^2-4x+7}

Now, we distribute the expression of f(x) and find the derivative afterwards.

f(x)=(x^3-2x+1)(x-3)\\\\=x^4-2x^2+x-3x^3+6x-4\\\\=x^4-3x^3-2x^2+7x-4 \ \ \ so\\ \\\boxed{f'(x)=4x^3-9x^2-4x+7}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

6 0
3 years ago
Help Will give brainless<br> What is the slope of the line represented by the values in the table?
Olin [163]

Answer:

Slope = 2

Step-by-step explanation:

Slope = 20/10 = 2

6 0
3 years ago
Which graph best represents an equation with the values shown in the table?
antoniya [11.8K]

Answer:

huijh bhuji

Step-by-step explanation:

jh bnjmkinbh j

3 0
3 years ago
The mean score on biology quiz was 62 with a standard deviation of 8, Jose’s score was a 74% what was his z score?
melisa1 [442]
(74-62)/8=3/2=1.5
Thank you hope this helps
7 0
3 years ago
How do I simplify this
velikii [3]
512x^3 would be the answer 
7 0
3 years ago
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