Find the differential of this function. y=tan*sqrt(t)

Y = tan (√ t )
We will use chain rule.
( tan x ) ` = sec² x
( √ t ) ` = 1 / 2√t
y ` = sec² (√ t ) · 1 / 2√t
y` = 1/cos² ( √ t ) · 1 / 2√t

40 & 50 in the right corner are the complementary angles as when placed in a sum (added together) they make 90°

When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. if you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.