#1
14th March 2016, 04:23 PM
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Sec X Differentiation
Hii Guys , Here Will you please Provide me X factor Differentiation CSC, Sec and Cot Functions information with Example , Can you please Provide me same ?
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#2
14th March 2016, 04:24 PM
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Re: Sec X Differentiation
The Differentiation of Trigonometric Functions is the Mathematical Process of Finding the Derivative of a Trigonometric Function, or its rate of change with respect to a variable. Common Trigonometric functions Include sin(x), cos(x) tan(x). For Example, the Derivative of f(x) = sin(x) is represented as f ′(a) = cos(a). f ′(a) is the rate of change of sin(x) at a particular point a. Differentiation of Trigonometric Functions It is possible to find the derivative of trigonometric functions. Here is a list of the derivatives that you need to know: d (sin x) = cos x dx d (cos x) = –sin x dx d (sec x) = sec x tan x dx d (cosec x) = –cosec x cot x dx d (tan x) = sec²x dx d (cot x) = –cosec²x dx One condition upon these results is that x must be measured in radians. Applying the Chain Rule The chain rule is used to differentiate harder trigonometric functions. Example Differentiate cos³x with respect to x. Let y = cos³x Let u = cos x therefore y = u³ dy = 3u² du du = -sin x dx dy = du × dy dx dx du = -sin x × 3u² = -sin x × 3cos²x = -3cos²x sin x |