What is the derivative of all trigonometric functions?
Derivatives of Trigonometric Functions
| Function | Derivative |
|---|---|
| arccosx = cos-1x | -1/√(1-x2) |
| arctanx = tan-1x | 1/(1+x2) |
| arccotx = cot-1x | -1/(1+x2) |
| arcsecx = sec-1x | 1/(|x|∙√(x2-1)) |
What are the 12 trig functions?
The historical answer: At least 12 These are versine, haversine, coversine, hacoversine, exsecant, and excosecant. All of these can be expressed simply in terms of more familiar trig functions.
What are the 9 trig functions?
Furthermore, the functions are usually abbreviated: sine (sin), cosine (cos), tangent (tan) cosecant (csc), secant (sec), and cotangent (cot). Do not be overwhelmed.
What is the equation for derivative?
Finding the General Formula for derivative (nth formula) Given function = (x*cos(x)) or xcos(x). Need to find the general formula for the derivative when n=n and test it for n=2 or 3.
What are the rules of differentiation?
The Basic Differentiation Rules. Some differentiation rules are a snap to remember and use. These include the constant rule, power rule, constant multiple rule, sum rule, and difference rule. The constant rule: This is simple. f ( x) = 5 is a horizontal line with a slope of zero, and thus its derivative is also zero.
What is the formula for trigonometry?
The general form for the equation of a trigonometry function is y = Af [B (x + C)] + D, where. f represents the trig function. A represents the amplitude, or steepness. +A means the graph is oriented as usual.
What are the functions of trigonometry?
Trigonometry functions. The main trigonometric functions are sine, cosine, and tangent, often written as sin(x), cos(x), and tan(x). The common thing for them is that they express the ratios between different sides of a right-angled triangle, from the point of view of the angle of interest, and thus some of them are transformations of the others.