Step-by-step explanation:
Derivation using Product rule : -
To find the derivative of f(x) = sin 2x by the product rule, we have to express sin 2x as the product of two functions. Using the double angle formula of sin, sin 2x = 2 sin x cos x. Let us assume that u = 2 sin x and v = cos x. Then u' = 2 cos x and v' = -sin x. By product rule,
f '(x) = uv' + vu'
= (2 sin x) (- sin x) + (cos x) (2 cos x)
= 2 (cos2x - sin2x)
= 2 cos 2x
This is because, by the double angle formula of cos, cos 2x = cos2x - sin2x.
Thus, derivation of sin 2x has been found by using the product rule.
Answer:
3^2/15
Step-by-step explanation:
(^5sqrt3^2)^1/3
(3^2/5)^1/3
multiply the powers
3^2/5*1/3
3^2/15
Answer:
24+70+56=150
Step-by-step explanation:
Answer: 63/2π
Step-by-step explanation: C=πd
63=πd
D=63/π
r=1/2d
1/2×63/π=<u>63/2π</u>
Answer:
A) 83 km/ hour
B) 2/7 penalties / game
C) $16 / CD
D) 9 donuts / box
Step-by-step explanation:
A)
For this question they are asking for the distance traveled in 1 hour.
Since 747km was travelled in 9 hours, we divide 747 by 9 to find the distance travelled in 1 hour
747 ÷ 9 = 83
The unit rate is 83 km/ hour
B)
You have to find the number of penalties per game
Like before divide 10 by 35:
10 ÷ 35 = 10/35 = 2/7
2/7 penalties / game
C)
Find the cost of 1 CD :
64 / 4 = 16
$16 / CD
D)
Find the amount of donuts per box:
72/8 = 9
9 donuts per box
-Chetan K
