Use the product rule to find the derivative. 3) f(x)=(3x-3)(5x+ 1)
Answers
Answer:
30x -12
Step-by-step explanation:
the product rule is f(x)g'(x) + g(x)f'(x)
in this case f(x) = 3x-3 and g(x) = 5x+1. So we can just plug in we are going to find the derivative of each here.
f'(x) = 3 g'(x) = 5 Let me know if you don't know how I found the derivative of each.
Now we plug in.
f(x)g'(x) + g(x)f'(x)
(3x-3)5 + (5x+1)3
15x - 15 + 15x + 3
30x -12
You can further factor it but I'm gonna leave it like this.
Related Questions
Consider △LNM.Which statements are true for triangle LNM? Check all that apply.
Here are the results of a regression of Car Deaths in the UK by month from Jan 1969 to Dec 1984 on a dummy variable: 0 = no seatbelt law, and 1 = seat belt law (the law was instituted in February 1983)Coefficients:Estimate Std. Error t value Pr(> | t |) (Intercept) 125.870 1.849 68.082 < 2e-16 *Seatbelts -25.609 5.342 -4.794 3.29e-06 * R-squared = 0.11a. Did the seat belt law make a difference? b. Is there a need to add more variables to the model? c. How would you justify your answer with numbers? d. What possible independent / predictor variables could you add to this model?
Which best describes her prediction?
Stephanie claims that 26540is greater than 50. Do you agree or disagree? Explain.
Answers
The Distributive property states that
a(b+c)=ab+ac
Now, let's simplify:
6(3a-4)
18a-24
Answer:
first you multiply 6 and 3a which equals 18a. Then you multiply 6 and 4 which equals 24. So in the end it should look like: 18a-24
A.
12x – 29
B.
12 + 12 • 17
C.
12x – 12 • 17
D.
12x – 17
Answers
the answer would be C
12x-12*17
Answers
Answer:
−30+(−40)+(−70) = -140
Step-by-step explanation:
−30+(−40)+(−70) = -140
Answer:
not what im looking for
Step-by-step explanation:
Answers
Answer:
(3,7)
Step-by-step explanation:
(7,4)
Moving left and right relates to x
Moving up and down relates to y
When you move to the left, you subtract
When you move to the right, you add
When moving up, you add
When moving down you subtract
X= 7-4 = 3
x=3
Y= 4+3 = 7
y = 7
(3,7)
Answers
Hi there! :)
Answer:
y = 3x - 17.
Step-by-step explanation:
To write an equation parallel to y = 3x - 8, we need the slope as well as the coordinates of a point to solve for the "b" value in y = mx + b:
A line parallel to y = 3x - 8 contains the same slope, or m = 3.
Plug in the coordinates in (4, -5) into "x" and "y" in the equation y = mx + b respectively:
-5 = 3(4) + b
-5 = 12 + b
Simplify:
-5 - 12 = b
b = -17.
Rewrite the equation:
y = 3x - 17.
Answers
Answer:
a) $1056.33 b) 23 years
Step-by-step explanation:
a) 10000(1+1.85/100)^3=10565.33 (2d.p.)
b) let x be the no. of years
15000 = 10000(1+1.85/100)^x
1.5 = 1.0185^x
ln both sides
ln 1.5 = x ln 1.0185
x = ln 1.5/ln 1.0185
=22.11
=23 years (rounded up)
Final answer:
To calculate the future value of an investment using continuous compounding, you use the formula A = P*e^(rt). For a $10,000 investment at 1.85% annual interest, its value after 3 years is calculated by substituting the given values into the formula. To find out how many years it will take for the investment to reach $15,000, rearrange the formula to solve for t: t = ln(A/P)/r, and substitute the values.
Explanation:
The subject of your question is related to the mathematical concept known as continuouscompound interest, which Stanley Bank is applying to its money market account. In this concept, the formula is A = P×e^(rt), where A is the final amount that will be accumulated after t years, P is the principal amount or the initial investment, r is the interest rate in decimals (1.85% would be 0.0185), and e is Euler's number (~2.72).
a) To calculate the value of an investment of $10,000 after 3 years with an annual interest rate of 1.85%, you would use the formula: A = $10,000 × e^(0.0185 ×3). This will give you the total value of the investment after 3 years.
b) To calculate the number of years it will take for your investment to amount to $15,000 with the same interest rate, you would need to re-arrange the formula to solve for t: t = ln(A/P) / r. So, it would be calculated as: t = ln($15,000/$10,000) / 0.0185. This would give you the number of years it will take for your initial investment to reach $15,000.
Learn more about Continuous Compound Interest here:
#SPJ2