The derivative is the rate of change of a function, basically represents the slope at different points. To find the derivative of the given function you can use the power rule, which means, if n is a real number, d/dx(x^n)= nx^(n-1). This is a simplification of the chain rule based on the fact that d/dx(x)=1. Anyway, this means that d/dx(x^3 + 1)= 3x^2. Here n is 3 and so it is 3*x^(3-1)= 3x^2. The derivative of x^3+1 is 3x^2.
If you are wondering what happened to the 1, for any constant C, d/dx(C)=0.
Answer:
The question is kinda funny. I think the graph isn't correct cos a and b coordinate ain't right
f(x) = 2x - 1
To obtain a function we require values of x for x = 3, 4, 5 , 6, .....
The output appears to increase in steps of 2
3 → 5
4 → 7
5 → 9
6 → 11
Looking at the consecutive values of y we should see that these are twice the corresponding value of x subtract 1
f(x) = 2x - 1 ← is a possible function
checking the values for x in the input
f(3) =(2 × 3 ) - 1 = 5
f(4) = (2 × 4 ) - 1 = 7
f(6) = (2 × 6 ) - 1 = 11
f(11) = (2 × 11 ) - 1 = 21
Answer:
37
Step-by-step explanation:
This may look like a complicated problem but it's some simple analyzing of the problem to get the job done:
"The sum" tells that we are going to be adding together the next two phrases separated by "and"s.
That is "8 times a number 4" <em>and</em> "5"
Therefore, we need to add 2 groups:
(8*4) + (5)
Now, we simply use PEMDAS (or GEMDAS) to solve the expression:
(8*4) + (5)
= (32) + (5)
= 32 + 5
= <u>37</u>
Answer:
-7 = w
Step-by-step explanation: