(a)Use differentiation to find the minimum value of f(x)= 3x^2 - 5x + 10 and the value(s) of x for which this minimum occurs.
1 answer:
Hi there!
Begin by differentiating f(x) using the power rule:
dy/dx = nxⁿ⁻¹
Therefore:
f(x) = 3x² - 5x + 10
f'(x) = 6x - 5
Set this equation equal to 0 to find the x-intercept:
0 = 6x - 5
5 = 6x
x = 5/6, which is where the graph goes from NEGATIVE to POSITIVE, so there is a MINIMUM at this value.
You might be interested in
Answer:
18 cups.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given the expression 
According to the law of logarithm;
loga + log b = log(ab) and log a - log b = log(a/b)
The given expression becomes;
Answer:
.53 pounds of dog food each day
Step-by-step explanation:
i divided 7 1/2 pounds by 14 days and i got 0.53571428571
250m/110s
25m/11s
25/11 m/s
D T S
|-------27---------|
|------------35-----------|
DS=27+35=62
the answer is 62
