1003018707

SubArea: 
Primitive function
Level: 
A
Project ID: 
1003018707
Accepted: 
1
Easy: 
1
Given the function \( F(x)=\frac23\cos ⁡x-\frac{x^2}2\cdot\ln⁡4 \), find the function \( f \) such that \( F \) is primitive to \( f \) on \(\mathbb{R} \).
\( f(x)=-\frac23\sin ⁡x-x\ln⁡4 \)
\( f(x)=\frac23\sin ⁡x-x\ln⁡4 \)
\( f(x)=\frac23\sin ⁡x-2x\ln⁡2 \)
\( f(x)=-\frac23\sin ⁡x-2x \)