In this post I have provided All Important Differentiation Formulas PDF For Class 11 and 12 students. These formulas are also very important for those students who are preparing for JEE and NEET as well as board examination.
Calculus is a branch of mathematics which is broadly divided into two parts such a Differentiation and Integration. Both parts are very essential for class 11 and 12 students. In this article you can find and download all complete differentiation formula which are very essential for mathematics and physics.
Basic Differentiation Formulas
| Function | Differentiation Formula (dy/dx) |
|---|---|
| y= C(Constant) | 0 |
| y= xn | nxn-1 |
| y= logx | 1/x |
| y= ex | ex |
| y= ax | ax log a |
Differentiation Formulas For Trigonometric Functions
| Function | Derivative (dy/dx) |
|---|---|
| y= sin x | cos x |
| y= cos x | -sin x |
| y= tan x | sec² x |
| y= sec x | sec x · tan x |
| y= cosec x | -cosec x · cot x |
| y= cot x | -cosec² x |
Differentiation Formulas For Inverse Trigonometric Functions
| Function | Differentiation Formula (dy/dx) |
|---|---|
| y= sin⁻¹ x | 1/√(1 – x²) |
| y= cos⁻¹ x | -1/√(1 – x²) |
| y= tan⁻¹ x | 1/(1 + x²) |
| y= sec⁻¹ x | 1/(x√(x² – 1)) |
| y= cosec⁻¹ x | -1/(x√(x² – 1)) |
| y= cot⁻¹ x | -1/(1 + x²) |
Other Differentiation Formula
1. If f(x) = f(x)×g(x), then:
2.
Differentiation Formulas PDF
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Conclusion
Differentiation or Derivatives is an important part of calculus. Without integration or Derivatives we can’t imagine mathematics and physics. There are a lot of part in mathematics and physics where differentiation concepts are used. So every students who are preparing for their board examination or competitive exams they must be learnt these formulas.