Note that the geometric interpretation of this result is that the tangent line is horizontal at this point on the graph of y = sin x. Note that rules (3) to (6) can be proven using the quotient rule along with the given function expressed in terms of the sine and cosine functions, as illustrated in the following example.Įxample 1: Use the definition of the tangent function and the quotient rule to prove if f( x) = tan x, than f′( x) = sec 2 x.Įxample 3: Find if f( x) = 5 sin x + cos x.Įxample 4: Find the slope of the tangent line to the curve y = sin x at the point (π/2,1)īecause the slope of the tangent line to a curve is the derivative, you find that y′ = cos x hence, at (π/2,1), y′ = cos π/2 = 0, and the tangent line has a slope 0 at the point (π/2,1). If f( x) = csc x, then f′( x) = −csc x cot x Your Favourite Cheat Sheets Your Messages Your Badges Your Friends Your Comments View Profile Edit Profile Change Password Log out New Cheat Sheet New Link New Upload. If f( x) = sec x, then f′( x) = sec x tan xĦ. Trigonometry Cheat Sheet from sapphicpenguin. If f( x) = cot x, then f′( x) = −csc 2 x.ĥ. Plugin identitiesamitjajoo193 visualizaes2 slides.
If f( x) = tan x, then f′( x) = sec 2 xĤ. 2005 Paul Dawkins Trig Cheat Sheet Definition of the Trig Functions Right triangle definition For. The six trigonometric functions also have differentiation formulas that can be used in application problems of the derivative. You can download Algebra Formula Cheat Sheet by clicking on the download.
Second Derivative Test for Local Extrema.First Derivative Test for Local Extrema.Differentiation of Exponential and Logarithmic Functions.Differentiation of Inverse Trigonometric Functions.Limits Involving Trigonometric Functions.
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