Answer:
h'(x) = (-x² ln x + x² + 1) / (x (x² + 1)^(³/₂))
Step-by-step explanation:
h(x) = ln x / √(x² + 1)
You can either use quotient rule, or you can rewrite using negative exponents and use product rule.
h(x) = (ln x) (x² + 1)^(-½)
h'(x) = (ln x) (-½) (x² + 1)^(-³/₂) (2x) + (1/x) (x² + 1)^(-½)
h'(x) = (-x ln x) (x² + 1)^(-³/₂) + (1/x) (x² + 1)^(-½)
h'(x) = (x² + 1)^(-³/₂) (-x ln x + (1/x) (x² + 1))
h'(x) = (1/x) (x² + 1)^(-³/₂) (-x² ln x + x² + 1)
h'(x) = (-x² ln x + x² + 1) / (x (x² + 1)^(³/₂))
Answer:
d) ordered pairs are equal
e) ordered pairs are not equal
Step-by-step explanation:
d) ( 3+4 , 2 - 1)
x-co ordinate = 3 + 4= 7
y-co ordinate = 2 - 1 = 3
(3+ 4 , 2-1) = (7 , 3)
(3+4 , 2-1) & ( 7 ,3) are equal
f)Compare the x -co ordiante and y - co ordiante of the two pairs
p +q = q + p {addition closed under commutative property}
but q - p ≠ p - q {Subtract is not closed under commutative}
(p +q, q - p) & ( q + p , p -q ) are not equal
Try 6.5x10^4
Pretty sure that’s it, If not I’m sorry!
They are incorrect because when going from percent to decimal, you divide the percent by 100 and when going from decimal to percent you multiply the decimal by 100. So in the case of 14.5%... divide 14.5% by 100 to get .145. The correct decimal is .145 not 14.5.
Answer:
A.) 20
Step-by-step explanation:
According to the bar graph, in February, the store sold 50 computers. In September, it seems like the store sold 30 computers. Therefore, if 50 - 30 = 20, the store sold 20 more computers in February than in September.
