Question

State the following statement is true or false

The differential coefficient of cos $2x$ is sin $2x$.

• A. True
• B. False

Answer 1

The correct option is B False

The differential coefficient of a function is defined as $d\left(f\right(x\left)\right)$

For $f\left(x\right)=\cos \left(2x\right)$, it would be $d\left(\cos \right(2x\left)\right)=-2\sin \left(2x\right)$

Hence, the statement is false.