Using product rule;
f(x)=(1+6x²)(x-x²)
f'(x)=(12x)(x-x²) + (1-2x)(1+6x²) = 12x² -12x³ +1 +6x² -2x -12x³ = -24x³ +18x² -2x +1
Solving the bracket first;
f(x)=(1+6x²)(x-x²) = x -x² +6x³ -6x^4
f'(x)= 1 -2x +18x² -24x³ = -24x³ +18x² -2x +1
Answer: 15/32
Step-by-step explanation:
The data that we have is:
5/8 of the vegetable sold where green.
of theses 5/8, 3/4 were string beans.
Then the 3/4 is applied to the 5/8 of green vegetables.
Then the fraction (of the total number of vegetables) that were string beans was:
F = (3/4)*(5/8) = (3*5)/(4*8) = 15/32
Answer:
D. 1
Step-by-step explanation:
We have the expression, 
We get, eliminating the cosecant function,
As, sinx is reciprocal of cosecx and cosx is reciprocal of secx,
i.e. 
i.e. 
Since, we know that, 
Thus,
So, after simplifying, we get that the result is 1.
Hence, option D is correct.
Six point seven hundred eighty-nine thousandths.
Answer:
x = 12
Step-by-step explanation:
Pythagorean triplet
12,16,20
So, the value of x is 12
x + 256 = 400
x = 400 - 256
x = 144
The square of 12 is 144
