clarke1005 clarke1005
  • 30-05-2024
  • Mathematics
contestada

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

Respuesta :

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]

Answer Link

Otras preguntas

The Target HR zone is the range between 60% - 80% of an individual's Maximum HR. True False
The law of conservation of momentum states that, if left alone, the total momentum of two interacting objects that make up a system. Answer Remains the Same
A rectangular park is 1.5 miles long and 1.2 miles wide. What is the area in square miles?
What is an infectious disease
An ideal gas sample with 7.20 atm pressure occupies 250mL voulme at 18•C. What volume would it occupy at 1.50atm and 216•C?
What is the volume of this container? HELPPPP
ibu negeri bagi Melaka?a) Jasinb) Bandar Melakac) Alor Gajahd) Bandar Hilir
In a parallel circuit, ET = 120 V, R = 30 Ω, and XL = 40 Ω. What is IR?
The chart lists the masses and velocities of four objects. Which object requires the greatest change in momentum in order to stop its motion? Answer Z
Match the leader to his country. 1. Franklin Roosevelt Germany 2. Benito Mussolini Italy 3. Winston Churchill Soviet Union 4. Adolf Hitler United States