clarke1005 clarke1005
  • 30-05-2024
  • Mathematics
contestada

Find the derivative of:
f(x)=e⁻²ˣ+e³ˣ.
f'(x)=
Do not include "" "" in your answer."

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mathstudent55
mathstudent55 mathstudent55
  • 30-05-2024

Answer:

[tex] f'(x) = -2e^{-2x} + 3e^{3x} [/tex]

Step-by-step explanation:

[tex] f(x) = e^{-2x} + e^{3x} [/tex]

Recall:

[tex] \dfrac{d}{dx} e^x = e^x [/tex]

[tex] f'(x) = -2e^{-2x} + 3e^{3x} [/tex]

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