gamomaniea1

2021-12-05

Find derivatives of the functions defined as follows: $y=1.2{e}^{5x}$

Steacensen69

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

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