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Zarrin [17]
3 years ago
15

Find the derivative of the function f(x) = (x3 - 2x + 1)(x – 3) using the product rule.

Mathematics
1 answer:
julsineya [31]3 years ago
6 0

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

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Answer: X=15

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

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4 0
3 years ago
Which values represent the first two terms of the sequence a1=2 and an=-4(an-1)^2?
cricket20 [7]
<span>a1= (which is the first term.)
 to find the 2nd term you plug in 2 for (an) in the formula given to you. =-4(2-1)^2 *remember an represents the term u are looking for *
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 -4(2-1)^2
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3 years ago
- slope = 2/7 ; y-intercept = 0​
Yuri [45]

Answer:

y=2/7x

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept,

y=2/7x+0

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3 years ago
What's the best prouduct of these fractions 4/7×8/9×14/15​
sladkih [1.3K]

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▹ Answer

<em>448/945</em>

<em />

▹ Step-by-Step Explanation

\frac{4}{7} * \frac{8}{9} \\\\= \frac{32}{63} \\\\\\\frac{32}{63} * \frac{14}{15\\} \\\\= \frac{448}{945}

Hope this helps!

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6 0
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Order of Operations- -6+(-30) divided by 5-(-2). Explain step by step
Reil [10]

Answer:

-36/7 or -5.14287

Step-by-step explanation:

so I would get rid of parentheses you do not need them

\frac{-6+-30}{5--2}=\frac{-36}{7}(because when two negative come before two numbers like -x-y they are being added but negative is present to the result of the sum, when one negative sign comes after a number and the other negative sign comes before a number, like x--y they are being added as well but negative is not present to the result of the sum)

-36/7=-5.1428

hope this helps!

7 0
3 years ago
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