Methods of a differentiation- 3

Methods of a differentiation- 3

Search Your Query Here Symbols used for derivative dy/dx or f ‘(x) or D(y) or  y’ or y1      → First Order Derivative d2y/dx2  or f ”(x) or D2(y) or  y” or  y2  → Second Order Derivative Derivative of some standard Functions d(xn)/dx =nxn-1 ...
Differentiability-2

Differentiability-2

Search Your Query Here Differentiability in an Interval A function is said to be differentiable in (a, b) if it is differentiable at each and every point of the interval. Differentiable at [a, b] if It is differentiable in (a, b) f’ (a+) = limit(h→0) {(f(a+h)- f(a)) /...
Differentiability-1

Differentiability-1

Search Your Query Here Physical Meaning of the term Derivative Instantaneous rate of change of function w.r.t independent variable. limit  (Δy/Δx) Δx→0                 Geometrical Meaning of the term Derivative It gives the slope of the tangent drawn to the curve at...

Polynomials

Search Your Query Here Basic Definitions and Concepts Definition A polynomial is an algebraic expression in which the variables involving are having non-negative integral powers.  Examples- 2x³+5x+2, 8y³+5xy+x-2 etc. Ok, lets now define the term Algebraic Expressions,...

Number Systems

Search Your Query Here Basic Definitions and Formulas- Real Numbers Natural Numbers All the counting numbers starting from 1 i.e., 1,2,3,.., etc. are called the natural numbers. Whole Numbers All the counting numbers or the collection of natural numbers including zero...
Triangle Notes

Triangle Notes

Search Your Query Here If you do not like reading, you may watch these Videos Continue Reading- Basic Formulas & Identities Area = ½ (Any Side) × (Corresponding Altitude) Heron’s Formula ∆ =√(s(s – a)(s – b)(s – c)) S = ½ (a + b + c)…….....