Question

3epower2x+2epower3x differentiate wrt x​

Answer 1

Answer:

$\huge{\boxed{\boxed{\sf{12e^{2x}}}}}$

Step-by-step explanation:

$\huge{\boxed{\boxed{\underline{\sf{SOLUTION-}}}}}$

$y = {3e}^{2x} + 2 {e}^{3x} \\ e \: is \: constant \\ \frac{dy}{dx} = (3e)^{2x} + (2e)^{3x} \\ \: \: \: \: \: \: \: = 2 \times 3 \times e ^{2x}+ 2\times 3 \times e ^{2x}\\ \: \: \: \: \: \: \: = 6e^{2x}+ 6e ^{2x}\\ \: \: \: \: \: \: \: = 12e^{2x}$

$\huge{\boxed{\boxed{\sf{12e^{2x}}}}}$