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.
1.one and seventy five thousandths this is word form 2.(1 x 1) + (0/10) + (7/100) + (5/1000) this is expanded form
The slope is 0/9
Hope this helps!!!
Answer:
A. 3:7
Step-by-step explanation:
The volume of the smaller cube is 216 m³.
The volume of the larger cube is 2744 m³
Let the similarity ratio be 
The volume of these two cubes are in the ratio:
This implies that:
We take the cube root of both sides to obtain:
![\frac{l}{L} =\sqrt[3]{\frac{216}{2744}}](https://tex.z-dn.net/?f=%5Cfrac%7Bl%7D%7BL%7D%20%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B216%7D%7B2744%7D%7D)
This simplifies to:
Therefore the ratio is 3:7
