Question

f(x) = 88x² + 4x² + 44²

find the derivative​

Answer 1

GIVEN :-

$\begin{gathered}\\ \bullet\:{ \bold{ f(x) = 88 {x}^{2} +4 {x}^{2} + 44 {x}^{2} }} \\ \\ \end{gathered}$

TO FIND :-

$\\ \bf \bullet \: The \: derivative$

SOLUTION :-

$\begin{gathered}\\ : \implies{ \bold{ f(x) = \frac{d}{dx} (88 {x}^{2} + 4 {x}^{2} + 44 {x}^{2} )}} \\ \\ \end{gathered}$

$\begin{gathered}\\ : \implies{ \bold{ f(x) = \frac{ d }{dx}(92 {x}^{2} + 44 {x}^{2}) }} \\ \\ \end{gathered}$

$\begin{gathered}\\ : \implies{ \bold{ f(x) = \frac{ d }{dx}(92 {x}^{2} + 1936 ) }} \\ \\ \end{gathered}$

$\begin{gathered}\\ : \implies{ \bold{ f(x) = \frac{ d }{dx}(92 {x}^{2} ) + \frac{d}{dx}(1936) }} \\ \\ \end{gathered}$

$\begin{gathered}\\ : \implies{ \bold{ f(x) = 92 \times 2x + \frac{d}{dx}(1936) }} \\ \\ \end{gathered}$

$\begin{gathered}\\ : \implies{ \bold{ f(x) = 92 \times 2x + 0}} \\ \\ \end{gathered}$

$\begin{gathered}\\ : \implies \large{ \boxed{ \bold{f(x) = 184x}}} \\\end{gathered}$