This page will help you to learn about the list of derivatives and quality calculus help. Below is given a brief description about derivative and then moving on further, the list of derivatives is provided.
In mathematics, the derivative is a measure of how a function changes as its input changes. The process of finding a derivative is called differentiation. A derivative can be thought of as how much one quantity is changing in response to changes in some other quantity. The reverse process is called anti-differentiation.
Some basic rules and list of derivatives and common derivatives are given below which helps you to learn derivatives. I like to share this Derivative of Tan Inverse with you all through my article.
List of Rules - Common Derivatives
There are the list of rules of common derivatives. In algebra of derivatives, we have established the following list of rules,
`d/dx` (u + v) = `(du)/dx` +` (dv)/dx`
`d/dx` (u - v) = `(du)/dx` - `(dv)/dx`
`d/dx` (uv) = u `(dv)/dx` + v `(du)/dx`
`d/dx` (u/v) = (v `(du)/dx` - u `(dv)/dx` ) / v2
List of Common Derivatives -polynomial and Trigonometric Functions:
The list of common derivatives for polynomial function is given below:
`d/dx` (c) = 0
`d/dx` (x) = 1
`d/dx ` (cx) = c
`d/dx` (xn) = nxn-1
`d/dx` (cxn) = ncxn-1
The list of common derivatives for trigonometric function is given below
`d/dx` (sin x) = cos x
`d/dx` (cos x) = - sin x
`d/dx ` (tan x) = sec2 x
`d/dx` (cot x) = - cosec2x
`d/dx` (sec x) = sec x tan x
`d/dx` (cosec x) = - cosec x cot x . Is this topic help solving math word problems hard for you? Watch out for my coming posts.
List of Common Derivatives - Inverse Trigonometric and Hyperbolic Functions:
The list of common derivatives for inverse trigonometric function is given below:
`d/dx` (sin-1 x) = `1/sqrt(1 - x^2)`
`d/dx` (cos-1 x) = - `1/sqrt(1 - x^2)`
`d/dx` (tan-1 x) = `1/(1 + x^2)`
`d/dx` (sec-1 x) = `1/(|x|sqrt(x^2 - 1))`
`d/dx` (cosec-1 x) = - `1/(|x|sqrt(x^2 - 1))`
`d/dx` (cot-1 x) = - `1/(1 + x^2)`
The list of common derivatives for hyperbolic function is given below
`d/dx` (sinh x) = cos hx
`d/dx ` (cosh x) = sin hx
`d/dx ` (tanh x) = sec h2x
`d/dx` (sech x) = - tanh x sech x
`d/dx` (cosech x) = - coth x cosech x
`d/dx` (coth x) = - cosech2x
In mathematics, the derivative is a measure of how a function changes as its input changes. The process of finding a derivative is called differentiation. A derivative can be thought of as how much one quantity is changing in response to changes in some other quantity. The reverse process is called anti-differentiation.
Some basic rules and list of derivatives and common derivatives are given below which helps you to learn derivatives. I like to share this Derivative of Tan Inverse with you all through my article.
List of Rules - Common Derivatives
There are the list of rules of common derivatives. In algebra of derivatives, we have established the following list of rules,
`d/dx` (u + v) = `(du)/dx` +` (dv)/dx`
`d/dx` (u - v) = `(du)/dx` - `(dv)/dx`
`d/dx` (uv) = u `(dv)/dx` + v `(du)/dx`
`d/dx` (u/v) = (v `(du)/dx` - u `(dv)/dx` ) / v2
List of Common Derivatives -polynomial and Trigonometric Functions:
The list of common derivatives for polynomial function is given below:
`d/dx` (c) = 0
`d/dx` (x) = 1
`d/dx ` (cx) = c
`d/dx` (xn) = nxn-1
`d/dx` (cxn) = ncxn-1
The list of common derivatives for trigonometric function is given below
`d/dx` (sin x) = cos x
`d/dx` (cos x) = - sin x
`d/dx ` (tan x) = sec2 x
`d/dx` (cot x) = - cosec2x
`d/dx` (sec x) = sec x tan x
`d/dx` (cosec x) = - cosec x cot x . Is this topic help solving math word problems hard for you? Watch out for my coming posts.
List of Common Derivatives - Inverse Trigonometric and Hyperbolic Functions:
The list of common derivatives for inverse trigonometric function is given below:
`d/dx` (sin-1 x) = `1/sqrt(1 - x^2)`
`d/dx` (cos-1 x) = - `1/sqrt(1 - x^2)`
`d/dx` (tan-1 x) = `1/(1 + x^2)`
`d/dx` (sec-1 x) = `1/(|x|sqrt(x^2 - 1))`
`d/dx` (cosec-1 x) = - `1/(|x|sqrt(x^2 - 1))`
`d/dx` (cot-1 x) = - `1/(1 + x^2)`
The list of common derivatives for hyperbolic function is given below
`d/dx` (sinh x) = cos hx
`d/dx ` (cosh x) = sin hx
`d/dx ` (tanh x) = sec h2x
`d/dx` (sech x) = - tanh x sech x
`d/dx` (cosech x) = - coth x cosech x
`d/dx` (coth x) = - cosech2x
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