Question

if y=12x³ find dy by dx value? ​

Answer 1

Answer:

dy/dx=36x² is the answer hope it was helpful to you

Answer 2

$\orange{ \boxed{\boxed{\begin{array}{cc}\rm \to \:given \\ \\ \rm \: y = 12 {x}^{3} \\ \\ \bf \: we \: have \: to \: find \: : \\ \\ \rm \: \hookrightarrow \: the \: value \: of \: \: \: \frac{dy}{dx} \\ \\ \red{ \underline{ \sf \: solution \: :}} \\ \\ \rm \: y = 12 {x}^{3} \\ \\ \rm \implies \: \frac{dy}{dx} = \frac{d}{dx} ( 12 {x}^{3} ) \\ \\ \pink{ {\boxed{\begin{array}{cc}\rm \to \:we \: know \: that : \\ \\ \rm \: \frac{d}{dx} \: a {x}^{n} = a.n {x}^{n - 1} \\ \\ \rm where \: \: a = constant\end{array}}}}</p><p> \\ \\ \red { \red{ \sf \: apply \: this \: formula \:}} \\ \\ \rm \implies \frac{dy}{dx} = 12 \times 3 \times {x}^{3 - 1} \\ \\ \rm \: \implies \: \frac{dy}{dx} = 36 {x}^{2} \\ \\ \\ \blue{ \boxed{\therefore \rm \: \frac{dy}{dx} = 36 {x}^{2} }} \end{array}}}}</p><p>$