Question

The derivative of 3x

215

likes
1077 views

Answer to a math question The derivative of 3x

Expert avatar
Dexter
4.7
113 Answers
1. Identify the function: f(x) = 3x

2. Apply the power rule of differentiation. The power rule states that for a function of the form f(x) = ax^n, the derivative is f'(x) = anx^{n-1}.

3. In this case, a = 3 and n = 1. Thus, the derivative of 3x is 3 \cdot 1 \cdot x^{1-1} = 3 \cdot x^0 = 3.

Therefore, the derivative of 3x is 3.

Frequently asked questions (FAQs)
What is the derivative of f(x) = 3x^2 - 6x + 2 using the basic rules of derivatives?
+
Math Question: How many different types of triangles can be formed using sides measuring 5cm, 7cm, and 9cm?
+
Question: What is the value of sin(π/4) - cos(π/6) + tan(π/3)
+
New questions in Mathematics
How much volume of water in MegaLiters (ML) is required to irrigate 30 Hectare crop area with depth of 20mm?
Let 𝑢 = 𝑓(𝑥, 𝑦) = (𝑒^𝑥)𝑠𝑒𝑛(3𝑦). Check if 9((𝜕^2) u / 𝜕(𝑥^2)) +((𝜕^2) 𝑢 / 𝜕(𝑦^2)) = 0
If we have the sequence: 3, 6, 12, 24 Please determine the 14th term.
Let the vectors be u=(-1,0,2) , v=(0,2,-3) , w=(2,2,3) Calculate the following expressions a)<u,w> b) &lt;2u- 5v,3w&gt;
8x²-30x-10x²+70x=-30x+10x²-20x²
Eight acts are scheduled to perform in a variety show how many different ways are there to schedule their appearances show your work
5) A family with a father, mother and 3 children must sit on five chairs in a row and the only restriction is that the mother must be at one end. In how many different ways can they be seated?
A client did not advance L 10,000 for the rental of a parking area and it corresponds to 4 months, of which 2 months were consumed
Determine the absolute extrema of the function 𝑓(𝑥)=𝑥3−18𝑥2 96𝑥 , on the interval [1,10]
what is the annual rate on ​$525 at 0.046​% per day for 3 months?
7/6-(-1/9)
Identify a pattern in the list of numbers.Then use this pattern to find the next number. 37,31,25,19,13
By direct proof, how can you prove that “The sum of any three consecutive even integers is always a multiple of 6”.
I need to know what 20% or £3292.75
The sum of two numbers is 144. Double the first number minus thrice the second number is equal to 63. Determine the first two numbers.
In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24
I. Order to add 40.25+1.31+.45 what is the first action to do ?
1. A jeweler has two gold bars, with 80% purity and the other with 95% purity. How much of each must be melted to obtain a 5 kilo ingot with 86% purity?
To find the increased amount on a standard term deposit with the following conditions: starting amount: BGN 13000, type of deposit: annual, annual compound interest rate: 1.4%, after 4 years;
the length of the fenced in area is to be 5 ft greater than the width and the total amount of fencing to be used is 89 ft find the width and length