Question

4. Find the differentiation
on = dy/dx =e5x +log5x​

Answer 1

Question :-

$\sf{ Find \: the \: differentiation \: \frac{dy}{dx} } \\ \sf{of \: {e}^{5x} + log(5x) } \:$

Answer :-

$\rightarrow \boxed{ \sf{ \frac{dy}{dx} = 5 {e}^{5x} + \frac{1}{x} }} \:$

Solution :-

$\sf{let \: y \: = {e}^{5x} + log(5x) \: } \\ \\ \text{ differentiate \: with \: respect \: to \: x} \\ \\ \rightarrow \sf{ \frac{dy}{dx} = {e}^{5x} \frac{d}{dx} 5x + \frac{1}{5x} \frac{d}{dx} 5x} \\ \\ \rightarrow \sf{ \frac{dy}{dx} = 5 {e}^{5x} + \frac{5}{5x} } \\ \\ \rightarrow \boxed{ \sf{ \frac{dy}{dx} = 5 {e}^{5x} + \frac{1}{x} }}$

___________________