derivative sec 2 x


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Derivative of sec x
Let f(x) = sec x. Then, we have Similarly, we can prove tha..
Derivative of sec-1x
Let y = sec - 1 x. Then sec y = x. Differentiating w.r.t. x, we have Similarly..
Fundamental and Derived Units
The units of fundamental physical quantities are called fundamental units. They are m, kg and sec. These units can neither be derived from one another nor can be resolved into other units. They are independent to each other. Units of physical quantities can be expressed in term..
Definition of sec
- 1 x For x R - (-1, 1), if q is an angle whose secant is x, then we say that secant inverse of x is q and write sec - 1 x = q . In particular, For practical purposes, only principal values of sec - 1 ..
Derivatives of Second Order
The order of a differential equation is equal to the highest derivative in the equation. The single-quote indicates differentiation. So x ' is a first derivative, while x '' is a second derivative. x ' = 1/ x is ..
Application of Derivatives Summary
Equation of the normal at (x 1 , y 1 ) in the curve y = f (x) is If m = 0 the tangent at (x 1 , y 1 ) is parallel to x-axis. Angle of intersection of the curves is the acute angle between their tangents at the point of intersection. Let y = f 1 (x) ..
Derivability or Differentiability at a Point
Let f be a function and a be any point in its domain. Let h>0 be a small number. f(x) is said to be differentiable if exists and is denoted by f | (a), then f | (a) is called the derivative or differential coefficient of f(x) at x = a. That ..
Carboxylic Acids and its Derivatives - Introduction
functional formula of carbonyl group Carbon compounds containing a carboxyl functional group -COOH are called carboxylic acids. A carboxyl group is constituted of two groups - a carbonyl group and a hydroxyl group -OH. Carboxylic acids may be aliphatic (R-COOH) or aromatic (Ar-COOH) depending on whether -COOH group is a..
Fundamental and Derived Units
The units of fundamental physical quantities are called fundamental units. They are length, mass and time. These units can neither be derived from one another nor can be resolved into any other units. They are independent of one another. Units of physical quantities can be expressed in te..
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