Answer: d/dx(uv) at x=1 = -67.
Explanation: The given information consists of the values of two functions, u(x) and v(x), and their derivatives, u'(x) and v'(x), at x=1. The task is to calculate the derivative of the product of these two functions at x=1, which is given by d/dx(uv) at x=1.
To solve this, we need to apply the product rule of differentiation, which states that if u(x) and v(x) are two functions, then the derivative of their product, uv, is given by d/dx(uv) = u'(x)v(x) + u(x)v'(x).
Given u(1)+5 = 6 and u'(1) = -7, v(1) = 7 and v'(1) = -3, we can substitute these values into the equation for d/dx(uv) and get:
d/dx(uv) at x=1 = u'(1)v(1) + u(1)v'(1)
d/dx(uv) at x=1 = -7 * 7 + 6 * -3
d/dx(uv) at x=1 = -49 + -18
d/dx(uv) at x=1 = -67
Therefore, d/dx(uv) at x=1 = -67.
I need help!!! I am looking for other opinions for the answer to this question. I have a answer already just looking for insight..
QUESTION:
Explain how the layers of the earth are connected and how they are affected by each other.
Explanation:
With the heavy inner core, the earth's orbit and rotation will remain stable over the long term, giving us day and night and summer and winter. ... The intense heat of the inner core is keeping the outer core a dense liquid that contains convection currents due to the heat, and they are directed by the earth's spin.Trisha is making homemade ice cream. She uses 2/3 cups of sugar to make 1/2 Gallon of ice cream. At this rate, how many cups of sugar are used to make 1 Gallon of ice cream
Answer:
1 1/3 cups or 4/3 cups
Explanation:
2/3(2)= 4/3
