Find d/dx(e^3ln(x)). a. e^3lnx b.e^3ln(x)/x c.3e^3lnx d.3x^2
1 answer:
Answer:
D. 3x²
General Formulas and Concepts:
<u>Algebra II</u>
- If you raise e to the natural log, they cancel out and vice versa
<u>Calculus</u>
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
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<u>Step 2: Rewrite</u>
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<u>Step 3: Take Derivative</u>
- Basic Power Rule: f'(x) = 3x³⁻¹
- Simplify: f'(x) = 3x²
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Answer:
The phrase that best describes the the line representing the relationship between the number of balloons remaining and the number of hats created is:
- Negative slope.
- Constant slope.
- Decreasing function.
Step-by-step explanation:
We are given a graph that represents the relationship between the Number of Balloons Hats and the number of balloons remaining.
Clearly from the graph we could that it is a linear function.
Also, the function is a decreasing function since with the increase of one variable that is the number of Balloon hats produced the other variable i.e. Balloons remaining is decreasing.
Also, we can calculate the slope of the line.
as the line is passing through (0,500) and (100,0)
Hence, the slope of line is:
Hence, the graph has a negative slope.
Also, we know that a slope of a line is always constant.
So, the correct statements are:
Negative slope.
Constant slope.
Decreasing function.