Differentiation Formula Differentiation Formula
Differentiation Formulas are useful in finding a derivative of functions and we use them in solving differentiation problems. Here, we will discuss useful differentiation formulas and other properties:- Derivative of constant is 0: Derivative of constant is 0: d (c) = 0 dx Derivative of function with a constant is: d (a.f(x)) = a.f1(x) dx Derivative of addition/subtraction between two functions: d (f(x) + g(x)) = f1(x) + g1(x) dx Derivative of xn is : d (xn) = n.xn-1 dx Know More About Rational Number Worksheets
Page No. : 1/4
Basic Formulas Suppose we have two function of 'x' that is 'u' and 'v', where 'a' and 'n' are constants, and 'd' is the differential operator. Let’s see basic general rule: Linearity rule: (d/dx) (a u) = a (du/dx) Addition rule: (d/dx) (u+v) = du/dx + dv/dx Subtraction rule: (d/dx) (u -v) = du/dx – dv/dx Product rule: (d/dx) (u *v)= u dv/dx + v du/dx Trigonometry formulas Trigonometry is a mathematical branch in which we study about triangle and their relationships with sides and angle. In trigonometry, some basic functions exist with respect to triangle sin x =
Opposite hypotenuse cos x = hypotenuse tan x = A...Read More
Hyperbolic trigonometry formulas Hyperbolic functions are analog of the trigonometric functions. The basic hyperbolic functions are the hyperbolic "sinh" and the hyperbolic cosine "cosh" from which, several other functions are derived like hyperbolic tangent "tanh", and many more derived trigonometric functions. Hyperbolic trig functions, are defined using ex and e– x.
Read More About Rational And Irrational Numbers
Page No. : 2/4
Rules of Differentiation Differentiation is a process used to find a derivative of function where derivative means rate of change with respect to some variable like derivative of f(x) with respect to 'x' is - , Calculus! many students get fear with this branch of mathematics as it is consider as one of the difficult branch of math. The word Calculus is derived from Latin word, which means calculating something and used for counting anything. Calculus covers a wide area of modern mathematics it mainly focuses on limits, functions, derivatives, integrals, and infinite series. Calculus plays a very important role in modern mathematics. It has two branches Differential Calculus and Integral Calculus.
Page No. : 2/3 Page No. : 3/4
Tutorcircle.com Page No. : 1/4 Differentiation Formula Differentiation Formulas are useful in finding a derivative of functions and we use...