Question

Find the Derivative of f(x)= 2x^2 - 4x + 3

Answer 1

Given the question in the question tab, the following are the solution steps to find the derivative of the function

STEP 1: Write the given function

`2x^2-4x+3`

STEP 2: Find the derivative of the function

`\begin{gathered} 2x^2-4x-3 \\ (d)/(dx)\mleft(2x^2-4x-3\mright) \\ \mathrm{Apply\: the\: Sum/Difference\: Rule}\colon\quad \mleft(f\pm g\mright)^(\prime)=f\: ^(\prime)\pm g^(\prime) \\ =(d)/(dx)\mleft(2x^2\mright)-(d)/(dx)\mleft(4x\mright)-(d)/(dx)\mleft(3\mright) \\ \text{Derivative of a constant is 0} \\ =4x-4-0 \\ =4x-4 \end{gathered}`

Hence, the derivative of the given function is 4x-4