The derivative of the function is 2x/(3+x²).
<h3>What is Derivative?</h3>
The derivative is the instantaneous rate of change of a function with respect to one of its variables.
Given function:
y= ln(3+x²)
Differentiating and applying chain rule
=1/(3+x²) d/dx(3+x²)
=1/(3+x²) (2x)
= 2x/(3+x²)
Hence, the derivative of the function is 2x/(3+x²).
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Answer:
5/6
Step-by-step explanation:
4 1/6 / 5
4 1/6 * 1/5
25/6 * 1/5
5/6
Answer:
Step-by-step explanation:
x= live bait and y= natural bait
12x+7y=63
x>3
x can be anywhere between 3 and 5.
when x=3, y=3
when x=4, y=2
when x=5, y=0
Answer:
7x + 2y = 1
Step-by-step explanation:
1. Find the slope of the line.
(y2-y1)/(x2-x1) ----> (11 - (-3))/((-3) -1) ----> (11+3)/ (-3 -1) ----> 14/-4
*lets simplify into (7/-2)*
2. Write into slope intercept form.
y=mx+b (m is the slope) (b is the y intercept)
y = (7/-2)x + b
We now need to find the value of b, this can be done by plugging in values of x and y, and using algebra to solve.
11 = (7/-2)(-3) + b
11 = 10.5 + b
b = 0.5 or 1/2
slope intercept form y = (7/-2)x + 1/2
Now we convert to standard form: ax+by=c
*In this form we our a term cannot be a fraction nor can it be negative*
1. Get x and y on the same side, and since our x term is negative right now, we can make it positive by adding it on both sides.
(7/2)x + y = 1/2
2. We now want to get rid of the fraction in term a, so we multiply the entire function by two, so the denominator cancels out.
2(7/2)x + 2y = 2(1/2)
Simplify and you get
7x + 2y = 1
