Looking for a Tutor Near You?

Post Learning Requirement »
x

Choose Country Code

x

Direction

x

Ask a Question

x

x
x
For better view click here
x
Hire a Tutor
DISCOVER

Calculus Table

Loading...

Published in: Mathematics
1,294 Views

This calculus table consists almost all the key formulas relalated to calculus.

Faisal A / Delhi

15 years of teaching experience

Qualification: M.Sc(Maths)

Teaches: Mathematics, Physics, AIEEE, IIT JEE Mains, BBA Entrance, MBA Entrance, SAT

Contact this Tutor
  1. The Intuitive Calculus Tables
  2. FUNDAMENTAL LIMITS AND DEFINITIONS 1 cos —x = cos X sec —x = sec x tan —x = — tan x cot —x = — cot x 2 2 Trig Formulas sin x + cos2 = 1 tan x CSC x sec x cot sin CSC —x sin x cos X 1 sin x 1 cos x 1 tan x = — sin — CSC x tan x + 1 = sec2x cot x + 1 sin(x ± y) = sin x cos y ± cos sin y cos(x ± y) = cos x cos y cos x cos y tan@ ± y) sin 2x = 2 sin x cos x tan 2x 1 —cos 2m sin x sin x — sin y = 2 sin cos Fundamental Limits sin x lim = lim an x an y 1 tan x tan cos 2x 2 tan x I—tan2 x cos cos — cos y = cos x = csc2 — sin x I + COS 2 X = —2 sin sin and Definitions = 1, Proof 1 n 2
  3. DERIVATIVES 3 Derivatives 3 f@) 3.1 3.2 3.3 3.3.1 3.3.2 3.3.3 3.4 3.5 3.6 Definition f'@) = lim Algebraic Functions f@) General Rules Chain Rule Product Rule h@) = f@)g@), Quotient Rule h/@) f@) h@) h@) f'@) = g' [f f' Explanation — f' + Proof Explanation g2@) Exponential and Logarithmic f@) f@) f(x) Trigonometric f@) f@) f@) f'@) = bC In b = Inx f' (x) Explanation = sin x = cos x = tan x = CSC x = sec x = cot x = cos x, Proof — — sin x, Proof = sec x — csc x cot x = sec tan x f'@) f'@) f'@) 3 — CSC x Inverse Trigonometric f@) = arcsin = arccos x = arctan x
  4. 4 INTEGRALS 4 4.1 —1 Trigonometric 4.2 = — COS X + c sin xdx cos xdx = sin x + C = tan x + C cos2 x 1 tan x sin x tan xdx 4.3 Integrals Fundamentals xndx — = — In I cosxl + C = In I sin xl + C tan x Exponentials and Miscellaneous a In x = arctan x + C 2 2 2 a 1 — arctan — + C a a 1 — — In = arcsin x + C = arcsin — + C 2 a a 4
  5. 4.4 Fundamental Theorem of Calculus 4.4 Fundamental Theorem of Calculus d F(t)dt = F@) , Explanation 4 INTEGRALS b F' (x)dx = F (b) — F (a), Explanation 5

Need a Tutor or Coaching Class?

Post an enquiry and get instant responses from qualified and experienced tutors.

Post Requirement

Related Study Notes

Upload Study Notes

If you have your own Study Notes which you think can benefit others, please upload on LearnPick. For each approved Study Note you will get 100 Credit Points and 100 Activity Score which will increase your profile visibility.

Upload Now
Home > Study Notes > Calculus Table