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zaharov [31]
3 years ago
8

How do you use the product rule to find the derivative of y=x2⋅sin(x)y=x^2*sin(x) ?

Mathematics
1 answer:
zvonat [6]3 years ago
6 0
(f(x)\cdot g(x))'=f'(x)\cdot g(x)+f(x)\cdot g'(x)\\\\
y=x^2\sin x\\
y'=2x\cdot \sin x+x^2\cdot \cos x\\
y'=x(2 \sin x+x\cos x)
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17-5(2x-9)=-(-6x+10)+4
MrRa [10]
17 - 5(2x - 9) = -(-6x + 10) + 4

On the right side of the equation, there is a negative sign infront of the parentheses. This means that you are multiplying the parentheses by -1.

17 - 5(2x - 9) = (6x -10) + 4

The 6x is positive because a negative times a negative is positive. The 10 is negative because a negative times a positive is a negative. Now, combine the like terms on the right side of the equation by adding -10 and 4 together.

17 - 5(2x - 9) = 6x - 6

Now that you have simplified the right side of the equation, move to the left side. Start with multiplying 5 times (2x - 9) using the distributive property.

17 - (10x - 45) = 6x - 6

After that, combine the like terms by subtracting -45 from 17. Because you would be doing 17 - -45, you would change all signs because when you subtract with negatives, you have to change the signs. Due to the change of the signs, you are just adding 17 and 45 together.

62 + 10x = 6x - 6

Now, you need to get the x's on one side and the whole numbers on the other side. Begin by subtracting 6x from both sides.

62 + 10x = 6x - 6
         -6x    -6x
62 + 4x = -6

Now, subtract 62 from negative 6. Remember to change the signs. You will end up with -6 + -62.

4x = -68

Finally, divide both sides by 4.
<u>4x</u> = <u>-68
</u>4        4
x = 17

Final Answer: x = -17














3 0
3 years ago
Read 2 more answers
What is the coordinate of the midpoint of segment CE?​
Anna35 [415]

Answer:

-1 :) you can count the number of spaces, divide by 2, and count to the middle by that ammount ;)

7 0
3 years ago
What is the value of the expression?<br> -16+ 12 <br>(A)-28 <br>(B)-4 <br>(C)4 <br>(D)28 ​
Elden [556K]

Answer:

-16+12= -4

Step-by-step explanation:

When we mins 12 from 16 (16-12) we get 4.

Similarly. When we minus 16 from 12 (12-16) we get -4 because we choose the sign with the greater number.

6 0
2 years ago
Rewrite<br> as a unit rate.
EastWind [94]

Answer:

rewrite what as the unit rate?

Step-by-step explanation:

What is the question

5 0
2 years ago
Evaluate each expression ​
choli [55]

Answer:

below

Step-by-step explanation:

  • c = 8 and  d = -3

c^{2} + d^{3} \\8^{2} + (-3)^{3} \\64 + (-27) \\64 - 27 \\37

  • r = -3  and   s = -4

( r -  s)^{3} + r^{2}\\(-3 -(-4))^{2} + (-3)^{2} \\(-3+4)^{3} + 9+ \\1^{3} + 9\\1 + 9 \\10

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2 years ago
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