- #1
shgidi
- 4
- 0
we have f(0)=1, f '(x)>=f(x)
we shall prove f(x)>e^x for every x>=0
thanx to the solvers
we shall prove f(x)>e^x for every x>=0
thanx to the solvers
And that's one of the reasons we ask that people show what they have tried: we have no idea what concepts you have available to do this.shgidi said:OK, I promise for the next time to look and find the homework section.
I've posted my question here, because I saw here many questions in the same style, so I thought it would fit.
anyway, 10x for your solution, but it doesn't quiet help me, because Integrals is not part of the material of my current course.
epenguin said:Are you able to treat the case = instead of >= ?
Do that and then try to think about > .
Calculus 1 is a branch of mathematics that focuses on the study of change and rates of change. It involves topics such as limits, derivatives, and integrals.
Calculus 1 is important because it provides a foundation for many other fields of study, such as physics, engineering, and economics. It also helps to develop critical thinking and problem-solving skills.
Topics typically covered in Calculus 1 include limits, derivatives, applications of derivatives, and integrals. Other topics may also be included, depending on the curriculum.
Calculus 1 has many real-life applications, such as modeling the growth of populations, calculating the rate of change of a moving object, and finding the optimal solution to a problem.
Calculus 1 can be challenging for some students, but with dedicated studying and practice, it can be mastered. It is important to have a strong foundation in algebra and trigonometry before studying Calculus 1.