Answer:
see explanation
Step-by-step explanation:
Using the chain rule and the standard derivatives
Given
y = f(g(x)) , then
= f'(g(x)) × g'(x) ← chain rule
(tanx) = sec²x ,
(cotx) = - csc²x
(c)
y = tan
= tan
= sec²
×
(
)
= sec²
× ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
![x^{-\frac{1}{2} }](https://tex.z-dn.net/?f=x%5E%7B-%5Cfrac%7B1%7D%7B2%7D%20%7D)
= sec²
× ![\frac{1}{2x^{\frac{1}{2} } }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2x%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%20%7D)
= ![\frac{sec^2\sqrt{x} }{2\sqrt{x} }](https://tex.z-dn.net/?f=%5Cfrac%7Bsec%5E2%5Csqrt%7Bx%7D%20%7D%7B2%5Csqrt%7Bx%7D%20%7D)
(d)
y = cot(1 + x)
= - csc²(1 + x) ×
(1 + x)
= - csc²(1 + x) × 1
= - csc²(1 + x)
Answer:
all nonnegative real numbers
Step-by-step explanation:
all nonnegative real numbers give us all nonnegative integers
Answer:
C
Step-by-step explanation:
Answer:
hey do you know the answer
Step-by-step explanation:
Answer:
20 students
Step-by-step explanation:
In order to find the answer, we must find 2/3 of 30 students.
2/3 of 30 students can be found by multiplying the two numbers together.
2/3 * 30 is equal to 2/3 * 30/1
2/3 * 30/1 is 60/3
60/3 is equal to 20
20 students brought their attendance contracts back on Tuesday.