Find derivatives of the functions defined as follows: y=1.2e5x

Step 1
the given function is:
${\displaystyle y=1.2e^{5x}}$
we have to find the derivative of the given function.
Step 2
the given function is ${\displaystyle y=1.2e^{5x}}$
differentiating the both sides of the function with respect to x, we get
${\displaystyle \frac{dy}{dx}=\frac{d}{dx}\left(1.2e^{5x}\right)}$
${\displaystyle =1.2\frac{d}{dx}\left(e^{5x}\right)}$
${\displaystyle =1.2\times e^{5x}\times \frac{d}{dx}\left(5x\right)}$
${\displaystyle =1.2\times e^{5x}\times 5\times \frac{d}{dx}\left(x\right)}$
${\displaystyle =1.2\times e^{5x}\times 5\times 1}$
${\displaystyle =1.2\times 5\times e^{5x}}$
${\displaystyle =6e^{5x}}$
therefore the derivative of the given function ${\displaystyle y=1.2e^{5x}is6e^{5x}}$