Knowledge Base Code

【00103】

Calculus Fundamentals

Difficulty:Intermediate

Tags:Limits / Derivatives / Integrals

Calculus is the branch of mathematics that studies rates of change and accumulation, comprising two main areas: differential calculus and integral calculus.

Derivative Calculation Formulas

Power Function

d/dx(xⁿ) = nxⁿ⁻¹

Exponential function

d/dx(e^x) = e^x

Trigonometric functions

d/dx(sin x) = cos x

Points Value Example

∫x dx

= x²/2 + C

∫eˣ dx

= eˣ + C

∫sin x dx

= -cos x + C