We want to find
, for
.
Recall the product rule: for 2 differentiable functions f and g, the derivative of their product is as follows:
.
Thus,
![y'=[(x^2+2)^3]'[(x^3+3)^2]+[(x^3+3)^2]'[(x^2+2)^3]\\\\ =3(x^2+2)^2(x^3+3)^2+2(x^3+3)(x^2+2)^3](https://tex.z-dn.net/?f=y%27%3D%5B%28x%5E2%2B2%29%5E3%5D%27%5B%28x%5E3%2B3%29%5E2%5D%2B%5B%28x%5E3%2B3%29%5E2%5D%27%5B%28x%5E2%2B2%29%5E3%5D%5C%5C%5C%5C%20%3D3%28x%5E2%2B2%29%5E2%28x%5E3%2B3%29%5E2%2B2%28x%5E3%2B3%29%28x%5E2%2B2%29%5E3)
Answer: A)
.
<span>Benchmark fractions are created when we make two different fractions have the same numerator or denominator. In thisi case, we will produce the same denominator. The LCM of 10 and 12 is 60. So the fractions become 42/60 and 25/60. Since the fraction with the larger numerator has a larger value when the denominators are the same, 7/10 is larger than 5/12.</span>
70, Multiply 5 pieces by 12 friends and you get 60, then add the 10 pieces he originally took out, and you get 70
The line x = -11.4 is perpendicular to the x-axis and contains point
(-11.4 , 12.8)
Step-by-step explanation:
Let us revise the equations of the vertical lines and horizontal lines
- The vertical line is a line parallel to y-axis
- The x-coordinates of all points lie on the line are equal
- The equation of the vertical line basses through point (a , b) is x = a
- The horizontal line is a line parallel to x-axis
- The y-coordinates of all points lie on the line are equal
- The equation of the horizontal line passes through point (a , b) is y = b
- The vertical line and the horizontal line are perpendicular to each other when intersect each other
∵ The line is perpendicular to the x-axis
∴ The line is a vertical line
∴ The equation of the line is x = a, where a is the x-coordinate
of any point lies on the line
∵ The line contains point (-11.4 , 12.8)
∵ The x-coordinate of the point is -11.4
∴ a = -11.4
∴ The equation of the line is x = -11.4
The line x = -11.4 is perpendicular to the x-axis and contains point
(-11.4 , 12.8)
Learn more:
You can learn more about the linear equation in brainly.com/question/13168205
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Answer:
35%
Step-by-step explanation:
