1.y=c, y'=0(c is a constant)
2.y = x μ, y' = μ x (μ- 1) (μ is a constant, μ≠0).
3.y=a^x,y'=a^xlna； y=e^x,y'=e^x。
4.y=logax，y'= 1/(xlna)
Data expansion:
Higher mathematics refers to a more complicated part of mathematical objects and methods compared with elementary mathematics and secondary mathematics. Middle school algebra, tea party geometry and simple set theory are called middle school mathematics, which is regarded as the transition between elementary mathematics in primary and secondary schools and higher mathematics in universities.
Generally speaking, advanced mathematics is a basic subject formed by calculus, algebra, geometry and their intersection. The main contents include: series, limit, calculus, spatial analytic harmonic geometry and linear algebra, series, ordinary differential equations. Basic subjects for postgraduate examinations in engineering, science and engineering and finance.
Generally speaking, advanced mathematics is a basic subject formed by calculus, algebra, geometry and their intersection after17th century.
Compared with elementary mathematics and secondary mathematics, learning mathematics is more difficult than failing to answer. It belongs to university courses, so it is often called "advanced mathematics" and "calculus" in teaching materials, which is a different major of science and engineering. Students majoring in literature and history learn mathematics shallowly, and different majors in literature and history have different depths.
It is advanced mathematics that studies variables, but advanced mathematics does not only study variables. As for the courses related to "advanced mathematics", there are usually: linear algebra (advanced algebra for mathematics majors), probability theory and mathematical statistics.
Elementary mathematics studies constants and uniform variables, while advanced mathematics studies non-uniform variables. Advanced mathematics (the general name of several courses) is an important basic subject in science and engineering colleges, and it is also a compulsory mathematics course for non-mathematics majors in science and engineering, as well as a compulsory course for other majors.