Calculus AND Basic Maths formulas

Every formula JEE Advanced expects you to know for Calculus AND Basic Maths, with the variables spelled out. Free, no sign-up. Read it before a mock, not during one.

Practise these formulas 274 practice questions

Formulas: 24
Subject: Physics
Exam: JEE Advanced
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Calculus AND Basic Maths, every formula

24 formulas, typeset and free. Print it, or keep it open beside your practice.

Derivative of a power
$\frac{d}{d x} (x^{n}) = n x^{n - 1}$
Derivative of a constant
$\frac{d}{d x} (c) = 0$
Derivative of sin/cos
$\frac{d}{d x} sin x = cos x, \frac{d}{d x} cos x = - sin x$
Derivative of e^x and ln x
$\frac{d}{d x} e^{x} = e^{x}, \frac{d}{d x} ln x = \frac{1}{x}$
Product rule
$(uv)^{'} = u^{'} v + u v^{'}$
Quotient rule
$(\frac{u}{v})^{'} = \frac{u ^{'} v - u v ^{'}}{v ^{2}}$
Chain rule
$\frac{d y}{d x} = \frac{d y}{d t} \cdot \frac{d t}{d x}$
Integral of a power
$\int x^{n} d x = \frac{x ^{n + 1}}{n + 1} + C, n \neq = - 1$
Integral of 1/x
$\int \frac{d x}{x} = ln ∣ x ∣ + C$
Integral of sin/cos
$\int sin x d x = - cos x + C, \int cos x d x = sin x + C$
Definite integral
$\int_{a}^{b} f (x) d x = F (b) - F (a)$
Slope as derivative
$slope = \frac{d y}{d x}$
Area under a curve
$A = \int_{a}^{b} y d x$
Maxima / minima condition
$\frac{d y}{d x} = 0$
Second-derivative test
$\frac{d ^{2} y}{d x ^{2}} < 0 (max), > 0 (min)$
Small-angle approximation
$sin θ \approx θ, cos θ \approx 1, tan θ \approx θ$
Binomial approximation
$(1 + x)^{n} \approx 1 + n x (∣ x ∣ ≪ 1)$
Average value of a function
$\overset{ˉ}{f} = \frac{1}{b - a} \int_{a}^{b} f d x$
Distance from velocity
$s = \int v d t$
Velocity from acceleration
$v = \int a d t$
Component of a vector
$A_{x} = A cos θ, A_{y} = A sin θ$
Magnitude of a vector
$∣ A ∣ = A_{x}^{2} + A_{y}^{2}$
Logarithm rules
$ln (ab) = ln a + ln b, ln a^{n} = n ln a$
Quadratic roots
$x = \frac{- b \pm b ^{2} - 4 a c}{2 a}$

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Calculus AND Basic Maths formulas

Calculus AND Basic Maths, every formula

Derivative of a power

Derivative of a constant

Derivative of sin/cos

Derivative of e^x and ln x

Product rule

Quotient rule

Chain rule

Integral of a power

Integral of 1/x

Integral of sin/cos

Definite integral

Slope as derivative

Area under a curve

Maxima / minima condition

Second-derivative test

Small-angle approximation

Binomial approximation

Average value of a function

Distance from velocity

Velocity from acceleration

Component of a vector

Magnitude of a vector

Logarithm rules

Quadratic roots

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